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Full text of "Inwood's tables of interest and mortality for the purchasing of estates and valuation of properties [microform] .."

MASTER 
NEGATIVE 

NO. 95-82432 




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Author: 



Inwood, William 



Title: 



Inwood's tables of interest 
and mortality for the... 

Place: 

London 

Date: 

1920 



^5-^2.431-1 



MASTER NEGATIVE # 



COLUMBIA UNIVERSITY LIBRARIES 
PRESERVATION DIVISION 

BIBLIOGRAPHIC MICROFORM TARGET 



ORIGINAL MATERIAL AS FILMED - EXISTING BIBLIOGRAPHIC RECORD 



D481 
In8 



Inwood, William 

Inwood* s tables of interest and mortality for 
the purchasing of estates and valuation of 
properties... rev. and extended by William 
Schooling. . . with logarithms of natural numbers 
and Thoman' s logarithmic interest and annuity 
tables... London, Lockwood, 1920. 

xl, 320 p. tables. 22 cm. 



\^^^/ 



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INWOOD'S TABLES 

OF INTEREST AND MORTALITY 

FOR THE PURCHASING OF ESTATES 



AND 



VALUAirON OF "PROPERTIES 



INCLUDING 



ADVOWSONS 
ASSURANCE POLICIES 
COPYHOLDS 
DEFERRED ANNUITIES 
FREEHOLDS 
GROUND RENTS 
IMMEDIATE ANNUITIES 

ETC. 



LEASEHOLDS 
LIFE INTERESTS 
MORTGAGES 
PERPETUITIES 
RENEWALS OF LEASES 
REVERSIONS 
SINKING FUNDS 
Era 



BY 

WILLIAM SCHOOLING, F.R.A.S. 

WITH LOCJARITHMS OF NATURAL NUMBERS 

AMD 

THOMAN'S LOGARITHMIC INTEREST AND ANNUITY TABLES 

tTbirt^sfiret 5mprcggion 




^ol]^ 



LONDON 

CROSBY LOCKWOOD AND SON 

7 STATIONERS' HALL COURT. LUDGATE HILL 

1920 






^^»^» I I ■ ■ 



^8 1 








o 






NOTE 



TO THB 



THIRTIETH EDITION. 

The present edition, besides retaining the additions to the 
preceding issue, has been carefully revised, and in it, thanks 
to the courtesy of correspondents, a few errors of the press 
will be found corrected. 

Should any user of the book discover a mistake in even 
a single figure, the Publishers will be greatly obliged by 
having their attention called to it. 

William Schooling. 



I? Old Queen Street, 

Westminster, S.W. 



(iii) 



PREFACE 



TO THE 



TWENTY-SIXTH EDITION 



In response to requests received since the issue of the 
Twenty-fifth Edition of this work, Tables I. and XVII. of 
the Twenty-fourth and earlier editions are now given here, 
in similar form to that in which they there appeared. They 
have, however, been extended to many more rates of interest, 
and Table XVII. has been extended to longer terms of years 
than formerly. The old Table I. will be found in the 
present edition on pp. xx to xxxi, and the old Table 
XVII. on pp. xxxii to xxxix. The former of these two 
Tables, it may be pointed out, appears also for integral years 
to a larger number of decimal places in the Tables showing 
the present value of £i per annum (pp. 50 to 85, and 92 
and 93). The present value of the reversion of a perpetuity 
appears to a larger number of decimal places on pp. 95 
to 98. 

The values in the Table for purchasing of leases, estates, 
or annuities (pp. xx to xxxi) do not agree, so far as half- 
years are concerned, with the Twenty-fourth edition. The 
method formerly adopted assumed interest to be convertible 
momently or continuously. This supposition, however, is 
not usually employed, but in practice the value of a lease or 
annuity certain, say for 22^ years at 6 per cent, per annum, 
would be considered to be equivalen\t to the value of a lease 
or annuity certain for double the term (or 45 years), at half 
the rate of interest (or 3 per cent per annum;. This value 
would be equal to 12*259, whilst the value given in old editions 
of * Inwood' is 121 74 only, thelatter representing the value 
of an annuity of i for 22 i years, computed at such a rate of 
interest convertible momently as would be equivalent to an 



PREFACE TO THE TWENTY-SIXTH EDITION 

actual or-e-ffective rate of 6 per cent, per annum. The value 
assigned in practice of 12*259 i^ based upon a rate of interest 
at 3 per cent, per half-year, which is equal to an effective 
annual rate of 6*09, or £6 is. lod. per cent, per annum (see 
pp. 18 and 122). It will be recognised therefore that in 
conformity with the usual practice the values now given for 
integral years assume interest to be convertible annually, and 
the values for the half-years assume it to be convertible half- 
yearly. 

In response to a suggestion that the present value of ;^i 
and of £1 per annum at 15 per cent, per annum would be 
found convenient by mining engineers and others, a table 
giving these values has been computed, and is given on 
p. xl. 

The method adopted was as follows. The present value 
* of ^i per annum due at the end of 100 years was calculated 
by the aid of Gray's 24 figure logarithms, true to fifteen 
places of decimals ; multiplying this amount by the rate of 
interest gives the arithmetical complement of the present 
value of £\ due at the end of 100 years ; adding these two 
items together and deducting unity gives the amount of 
^i per annum at the end of 99 years, and this process was 
continued to the end of the Table. In multiplying by the 
rate of interest it was convenient to employ Tate's Arithmo- 
meter, by means of which the necessary multiplications and 
additions were performed with the greatest ease. 

The results were checked every ten years, and the number 
of decimal places was reduced from time to time, the result 
being brought true to nine places when, at the end, of the 
calculations, the first year was reached. 

In the present edition a few errors, which have been 
discovered since the publication of the last edition, have been 
corrected. 

William Schooling. 



iv) 



PREFACE TO THE TWENTY-FIFTH EDITION 



PREFACE 



TO THE 



TWENTY-FIFTH EDITION 

In the present edition of this work, many extensive additions 
have been made, and the book has been entirely reset ; 
the size of the page has been enlarged, to allow of a 
more convenient arrangement of the Tables ; the whole of 
it has been carefully revised ; and the Tables have been 
placed in logical sequence. The volume now contains 
336 pages demy 8vo, as compared with 308 pages crown Svo 
in the last edition. 

The principal alterations and additions may be briefly 
recorded. The Interest Tables, which were formerly scattered 
throughout the book, are now all brought together. The 
amount and present value of £1 and of £1 per annum at the 
same rate of interest all appear on the same page, instead of 
each of these items at varying rates of interest being tabu- 
lated separately. For most purposes this is more convenient, 
but on pp. 86-93 abbreviated Tables appear in the old 
form. 

Throughout the book any Table that occupies two pages 
is arranged so that the whole of it may be seen at one 
opening — a detail that adds much to the convenience of using 
the Table. 

The Rates of Interest for which Tables were previously 
given were 2, 2^, 3, 3J, 4, 41, 5, 6, 7, 8, 9, 10. These are all 
retained, and six other rates— i, i^, i^, ij, 2J, 2|— have^ 
been added. 



(vi) 



Five places of decimals are given instead of four, as was 
the case for some of the rates in previous editions. 

The abbreviated Tables in the old form are given at 3J, 
3l, 44 » 4h and 5^ per cent, in addition to the 18 rates 
mentioned above. 

The present value of Perpetuities and of the Reversion to 
a Perpetuity are given in very much greater detail than 
before, both as regards the rates of interest and the number 
of decimal places. 

The Tables dealing with the Renewals of Leases are given 
at more rates of interest, while the Miscellaneous Tables, 
such as those on pp. 104, 105, 124, etc., are extended. 

The Sinking Fund Table is now given for 20 different 
rates of interest to 6 places of decimals for every year from 
I to 100, as compared with 10 rates of interest to (mostly) 
4 places. 

The Tables showing the Value of an Annuity yielding 
interest at one rate, and providing for replacing capital at 
another rate, now occupy six pages instead of less than two, 
and are given to 5 places of decimals instead of 2, as well 
as at many more rates of interest. 

On pp. 122 and 123 some important Tables appear 
dealing with Interest payable half-yearly, quarterly, and 
monthly, together with a Table of constant factors for finding 
the values of Annuities payable half-yearly, quarterly, and 
monthly from the values of yearly annuities. These are 
quite new to the book. 

The decimals of ^i are given for every farthing instead 
of for every penny, and the decimals of a year are given in 
more detail. 

In the Mortality Tables and the combined Mortality and 
Interest Tables, very many additions of much importance 
have been made. 

Apart from more numerous Tables and lower rates of 
interest, the values of the benefits according to the Healthy 
Males Table of the Institute of Actuaries and the Govern- 

(vii) 



\\ 



PREFACE TO THE TWENTY-FIFTH EDITION 

ment Experience Table of 1883 are introduced. These 
Tables are of the greatest value, and many of the items 
deduced from them are tabulated in considerable detail. 

Among the Mortality Tables the English No. 3 also 
appears; while here, as throughout the book, all kindred 
tables appear on consecutive pages. 

Users of the book will find reference to it facilitated, if by 
a glance at the Table of Contents they grasp the order in 
which the contents are arranged. It will be seen to be— 

1. Interest apart from lives. 

2. Lives apart from interest. 

3. Interest in connection with single lives. 

4. Interest in connection with two lives. 

5. Interest in connection with three lives. 

6. Logarithmic tables. 

In each of the divisions 3, 4, 5, the same order is main- 
tained. The additions in the parts of the book dealing with 
Interest and Mortality combined are too numerous for detailed 
record. Everything of any value in former editions is 
retained, while additions have been made that bring the 
whole thoroughly up to date as regards both the Mortality 
Tables and the rates of Interest employed. 

In addition to this, care has been taken to supply such 
data in the Tables, and such explanations and examples in 
the Introduction, as to make it a perfectly simple matter to 
calculate the values of benefits for other ages or at other 
rates of interest than are contained in the Tables. 

If any required information is not found in the Tables, a 
reference to the part of the Introduction dealing with the 
subject in question will probably show how the information 
may readily be arrived at. 

Special attention may perhaps be called to the Premium 
Conversion Tables on pp. 185 and 186, and to the explana- 
tion of them given in the Introduction. The Annual 
Premium Table is given ia a novel form, which, it is believed, 

(viii) 



PREFACE TO THE TWENTV-FIFTH EDITION 

offers considerable advantages. Both the Conversion Tables 
will be found very convenient for many purposes, and readers 
unfamiliar with such tables would do well to spend a few 
minutes in grasping their nature, which is quite simple. 

The Post Office Annuities are given in less detail than 
before, and the average rates of Insurance Companies for 
annuities and assurances are added. 

A Table of Logarithms of Natural Numbers has been 
introduced in order to facilitate calculation, and especially to 
enable use to be made of the extremely valuable Logarithmic 
Tables of Interest by M. Fedor Thoman without reference 
to any other book. Logarithms are very easy to use, and 
every one engaged in calculations should avail himself of the 
enormous advantages they offer. 

^ M. Thoman's Tables have been printed from stereotype 
plates, in which any errors that have been noticed have 
beeti corrected, but they have not been re-checked for this 
edition. 

The difficulty of ensuring accuracy in so vast a number of 
figures will be well understood, and it can scarcely be hoped 
that no errors exist. Very great care has been taken in calcu- 
lating and checking the Tables, and in reading and re-reading 
the proofs, but as there are considerably more than a quarter 
of a million figures in the book, the entire absence of errors 
IS improbable. Any users of the book who come across even 
a single mistake would confer a benefit by reporting it to 
the Publishers for correction in future editions. 

The great majority of the calculations have been made 
by Tate's Arithmometer. Even with this powerful aid the 
preparation of the book, involving the formation of many 
fresh Tables and the checking of many existing ones, has been 
an arduous task ; without an efficient calculating machine it 
would have been scarcely practicable. 

In former editions the headings of the Tables rather 
suggested the limitation of their use to one specific purpose, 
whereas most of the Tables are available for many purposes. 

(u4 



PREFACE TO THE TWENTY-FIFTH EDITION 



The headings of the Tables are now stated in a more general 
form, and in the Introduction examples are given of some of 
the various uses to which they may be put. In consequence, 
some habitual users of * In wood ' may, perhaps, miss the 

familiar heading, and at first fail to recognise a well-known 

• 

Table in its new garb. To obviate any inconvenience of this 
kind, and to increase the facility with which the book can be 
consulted, a full and specially arranged Table of Contents 
(pp. xi-xvi) has been prefixed, by reference to which any 
information needed may at once be found. An extensive 
collection of Examples has also been supplied (pp. 42-48), in 
which the actual working of every Table is illustrated. 

The book, as it now stands, serves innumerable purposes, 
but any suggestions (to be addressed to the PUBLISHERS) 
tending to increase its usefulness and convenience will be 
greatly appreciated and carefully considered, with a view to 
their adoption in future issues. 

In regard to such of the Tables in the book as are based on 

the Healthy Males Tables of Mortality, I am greatly indebted 

to the Council of the Institute of Actuaries, who have kindly 

given permission for the use in this volume of their valuable 

copyrights. 

William Schooling. 



>x) 



CONTENTS 



Tilles 



Introduction and Examples 



interest tables- 



Table FOR THE Purchasing of 
Leases, Estates, &c. 



Present Value of Reversion ] 
OF A Perpetuity 



Rates 
of Interest 



I 



Present Value of £1 
Present Value of £1 per Annum 

Amount of £i 
Present Value of £1 
Amount of £1 per Annum 
Present Value of £1 per Annum 

Amount of £i, io-yr. Intervals 

Present Value of £i, do. . 

Amount of £1 per Annum, do. . 

Present Value of £1 per 
Annum, do 

Value of a Perpetuity 

Value of Reversion to a Per- 
petuity 



Value of Perpetual Fines for 
Renewing Leases . 

Renewal of any Number of 
Years in a io-yrs.' Lease 



xi t2 2 2I 
2|, 2f , 3, 3§, 

4> Ah 5. 6, 
7, 8, 9, 10 

25, 2^, 3» 32> 

4. 45. 5. 6, 
7, 8, 9, 10 

1 li ll tS 
*> •4» *2» *4» 

2 2— 2A ^S 
Ay ^4, ^2> •^4> 

3. 3l. 4. 4^, 

5. 6, 7, 8, 
9. 10 

I to 10 
I to 10 
I to 10 



I to 10 



I to 10 



I to 6 
3 to 10 

2 to 17-95 



Table Pages 



xx-xl,49-i24 

xx-xxiv 

xxi-xxv 

xxvi-xxx 

xxvii-xxxi 

xxxii-xxxiv 
xxxiii-xxxv 
xxxvi-xxxviii 
xxxvii-xxxix 

xl 

49-57 
58-65 

66-73 
74-81 
82-85 

86,87 

88, 89 

90,91 ' 

92,93 
94 

95-98 

99 

99 



Text 
Pages 



1-48 



8-21 



xvm 
r >2, 
13 



XVlll 

13 



[ XIX 

i 10,12 
8-10 

ID, II 
II, 12 
12,13 

8-10 
10,11 
II, 12 

12,13 
13 

13 

14 
14-16 



(Xi) 



r" 



CONTENTS 



Titles 



INTEREST TABLES-<:<7«/. 

Renewal of any Number of 
Years in a 20-yrs.' Lease 



Do. 2I-YRS.' Lease 

Do. 40-YRS.' Lease 

Interest Yielded by Numbers of 
♦ Years' Purchase ' . 

Interest, Amount, and Dis-\ 
count of £1 in a Year, 9f 
Months, 6 Months, and 3 [ 
Months 



Sinking Fund . . . . 

Value of Annuity Yielding 1 
Interest on Capital at [ 

Replacing Capital when In- 
vesied at 

Nominal and Effective Rates 
OF Interest when Convertible 
Half - Yearly, Quarterly, 
Monthly 

Constant Factors for Convert- 
ing Values and Amounts of 
Yearly Annuities into those 
of Annuities for One Year 
Payable Half-Yearly, Quar- 
terly, and Monthly 

Value of Annuity for 25 Yrs. 
Payable,and Interest Conver- 
tible, Yearly, Half-Yearly, 
Quarterly, and Monthly 

Present Value of One Due a 
Year hence .... 

Discount on One for i Year . 

Time in which an Amount 
Doubles at Simple and Com- 
pound Interest 

Decimals of i Year 



Rates of Interest 



2 to 12-304 
2 to II -564 

2 to 8 



Table 
Pages 



2^> 22, 2^, 3> 
32» 4» 42> 5 



I to 10 



3. 3i 4. 5» 6, 
7. 1h 8, 9. 10 

2> 2i, 3, 3I, 4 J 



100 

ID! 
102, 103 

104 
105 

IO6-II5 
Il6-I2lf 



Text 
Pages 






I to 10 



Decimals of £1 



I to 10 



I to 10 



I to 10 



I to 10 



122 



123 



123 



123 



123 



14-16 

14-16 
14-16 

16 
16 

16,17 
18 



18,19 



19,20 



20 



20 



20 



21 



124 

124 

I 

I 

125-128 j 21-23 



21 



CONTENTS 



Titles 


Rates of Interest 


Table 
Pages 


Text 
Pages 


MORTALITY TABLES- 


• • • 


129-136 


23-25 


Expectation of Life according 
TO the Northampton, Car- 
lisle, Equitable, 17 Offices, 
English No. 3, and Hm Tables 


• ■■ 


130, 131 


23,24 


English Life Table, No. 3 


• •• 


132, 133 


23,24 


Institute of Actuaries Healthy 
Males (Hm) Table . 


• •• 


134, 135 


23,24 


Carlisle Table . . . - 


• •• 


136 


23,24 


SINGLE LIVES & INTEREST— 


• •• 


137-154 


25-28 


Value of an Annuity : 


• • • 


138-145 


25-27 


Northampton Table 


3» 4, 5. 6 


138, 139 


25-27 


Carlisle Table 


3, 4, 5, 6, 7, 8 


140, 141 


25-27 


Healthy Males ... 


2a. 3>32j4>42»5 


142, 143 


25-27 


Government Exp. (1883), Males 


2|, 3. 35, 4, 5 


144 


25-27 


Do., Females .... 


2^, 3. Zh 4, 5 


145 


25-27 


Single Payment to Secure £1 
AT Death : 


• •• 


146-149 


27,28 


Carlisle Table ... 


3, 4, 5, 6, 7, 8 


146, 147 


27,28 


Healthy Males 


2^,3,3^,4,4^,5 


-148, 149 


27.28 


Annual Payment to Secure £'i 
AT Death : 


• • • 


150,151 


28 


Healthy Males Table . 


2i,3,3i4,4i5 


150, 15I' 


28 


Value of Reversion to a Per- 
petuity AT Death : 

• 


• • • 


152-154 


28 


Government {1883) Table, 
Males 


2i. 3, 35. 4, 5 


152 


?8 


Do., Females .... 


2h 3, Zh 4, 5 


153 


28 


Northampton Table 


3, 4, 5, 6 


154 


28 


Carlisle Table 


3, 4, 5, 6 


154 


28 



(xii) 



(xiii) 



CONTENTS 



Titles 



TWO LIVES & interest- 
Joint Life Annuity : 
Northampton . 



Carlisle . 



Government (1883) 



Two Males 



Two Females 



Male and Female 



Healthy Males 



Joint Life Assurance, Single 
Payments : 

Northampton . . . . 
Carlisle ..... 
Healthy Males 



Joint Life Assurance, Annual 
Payments : 

Healthy Males 



Last Survivor Annuity : 
Northampton .... 

Carlisle ..... 

Healthy Males 

Assurance at Death of Last 
Survivor, Single Payment : 

Northampton .... 
Carlisle 



Healthy Males 



Rates of Interest 



3, 4, 5 



Table 
Pages 



155-181 

156-165 
156 

158-163 
158-160 
158-160 
161-I63 
164, 165 
166-169 

166 
167 



3, 3^, 4 168, 169 



^h 3> 3h 
2h 3, 3l 
^2» 3j 35 
2i, 3» 3h 



3. 3l. 4 



3, 3i 4 



3. 4, 5» 6 



3» 32» 4 



3 
3 

3» 3^, 4 



Text 
Pages 



170 

170 



17I-I73 31,32 



29-34 

29-31 
29-31 

29-31 

29-31 

29-31 

29-31 

29-31 

29-31 

29-31 

29-31 
29-31 
29-31 

29-31 
29-31 



171 



172 



173 



174-6 
174 

175 



31,32 
31,32 
31,32 

31,32 
31,32 

31,32 



176 31, 32 



CONTENTS 



Titles 



TWO LIVES & INTEREST-<r^«/. 

Assurance at Death of Last 
Survivor, Annual Payment : 

Healthy Males 

Value of Reversion to a Per- 
petuity . . . ^ . 



Value of Annuity on j/ after 
Death of ;r . 



Do. on jf to be Nominated at 
Death of jc . 



Assurance at Death of ;f if _y 
BE then Living, Single Pay- 
ment : 

Northampton .... 

Carlisle . . . , , 

Healthy Males 

THREE LIVES & INTEREST- 

JoiNT Life Annuity : 
Northampton .... 

Carlisle 

Healthy Males ... 

Last Survivor Annuity : 
North AM I ton .... 

Premium Conversion Table 
Single . . ^ [ 

Do., Annual . 



POST OFFICE ANNUITIES, 
etc.— 

Immediate, Male and Female 

Deferred, Money Return- 
able 



Rates of Interest 



Table 
Pages 



3. 3|, 4 



3» 3l, 4, 5 



3, 3h 4 



3. 3|, 4 



3 
3 

3. 32, 4 



4 

3 

3, 3-2, 4 

3.4 

22, 3, 32» 4, 5 
I to 8 



Deferred, Money not do. 



177 
177 

178 

179 

179 
180,181 

180 
180 
181 

182-184 

182, 183 
182 

182 
183 

184 

185 
186 

187-194 
189 

190 
191 



Text 
Pages 



3ii32 
31,32 

32 

33 

33 
34 

34 
34 
34 

35 

35 
35 

35 

35 

35 

35-39 
35-30 

39,40 
39 

39 
39 



(xiv) 



(XV) 



I 



CONTENTS 



Titles 



L 



POST OFFICE ANNUITIES. &c-ca«^. 

Single Premium to Assure 
£100 AT Death, or in 10, ic. 

OR 20 Years . ^ 

• • . 

Do. DO., 25, 30, 35, AND 40 Yrs, 

Annual Premiums Payable till 
Death or till Age 50, 55, 60, 
65 FOR Assurance of £100 at 
Death or at Age 50, 55, 60, 65 

GOVERNMENT ANNUITIES 

(National Debt Office) 

BRITISH LIFE OFFICES- 

Average Annuity Rates 

Average Annual Premiums 
FOR whole Life and Endow- 
ment Assurance, with and 

without Profits 

* • . 

INCOME TAX TABLES at 5^., 
6c^-, 7d., &/., AND gd. in the £ 

LOGARITHMIC TABLES- 

Explanation 

• • • 

Logs of Natural Numbers 
Interest Tables . 
Amount of £1 
Annuity £1 will Purchase 



Rates of Interest 



5 to 12 



f to 12 
i to 12 



Table 
Pages 



192 

193 



194 



195 



196 



196 



Text 
Pages 



39,40 
39,40 



39,40 



40 



40 



40 



197-204 40,41 



' 205-320 

• • • 

229-266 
267-320 
269 320 
269-320 



205-228 

205-228 

207-215 

216-228 

216-228 

216-228 



'm 




INTEREST TABLES 



TABLE FOR THE PURCHASING OF LEASES, 

ESTATES, OR ANNUITIES 

FOR TERMS OF YEARS CERTAIN 

PRESENT VALUE OF THE REVERSION OF A 

PERPETUITY 

PRESENT VALUE OF ONE POUND AND OF 
ONE POUND PER ANNUM 



n 



xvi 



For Examples see pages xviii. xix Fnr P^«i«««*- 
10, 12 13 ii^xplanations see pages 

(xvii) 



1 t- 



fi 



It 



t ! 



EXAMPLES 

OF THE Use of Tables on Pages xx-xl 

(i) Find the price to be paid for a lease yielding a clear annual 
rent of £iT,2 for 2s\years in order to make s^per cent, on 
the purchase price. 

£i per annum for 25I years —£i^m 

£12,2 „ „ ,, =i6-777x 1.^2 = 2214-564 

or 132 X 16 = 2112 
132 X 4= 66 
132 X 1 = 33 

I.^2Xl6| = p g221I 

There is a diffefence of £z'S^A or;«f 3 "^- 3^- due to the 
fact that i6| equals only 16-750, whereas the correct figj^re is 
16-777 The difference between these two is -027, ana tnis 
multiplied by 132 gives 3564, the difference between the two 
answers. 

(2) Find the present value ofan annuity of £^0 to run for 6s years 
certain such that the purchaser ivill obtain interest at 4^. 

I per annum for 65 years = ^^^^^? 

80 „ „ » =23-047x80= 1843760 

or 23 X 80=^^ 1840 

The explanation of the difference between the two 
answers is given under example (i). 

Such transactions as these two imply that if the purchaser 
drew interest on his capital at the rate assumed and invested 
the balance of the annuity at compound mterest, this balance 
at the end of the term would amount to the purchase price 
and so replace the capital invested. Thus, to take the last 

example : — , . ro . ^ 

The annual income=/,8o 000 

4 % on price ;£i843'76o= ^3^750 
The annual balance= £^'2^^ 
/'6-2';o per annum accumulated for 65 years 
^ ^ ' =6-250 X 294-968=^1843:552 

This amount agrees closely with the value found, and 
would agree exactl> if more places of decimals were used , 
in the calculation. 

(xviii) 



Seep. 



xxiu 

xxiii 
xxiii 
xxiii 



XXX 



XXX 



71 



f 



EX«AMPLES 

(3) Find the present value of a perpetual income of £2^ per 
annum to comTnence 30 years hence so that the investment 
may yield 5 per cent. 

Value of reversion to a perpetuity oi £\^ ^^4-628 
" M •> ;;^25=4-628x 25= 115-700 

or 25X4J=^ ii8 i5.f. 

The difference between the answers is explained under 
example (i). 

The nature of reversions is explained on pp. 13, 14. 



XXXVl 

xxxvi 



(4) Find the present value of ^1,000,000 due at the end of 
100 years at i^ %. 

The present value of i in 100 years =;^ -0000009 
M J) 1,000,000 „ ) _ 

=•0000009x1,000,000 f~ ^ 

This example is principally given to show the startling fact 
tha a modest 18^. would at 15 % compound interest accu- 
mulate in 100 years to the vast amount of ^1,000,000. 



xl 



(5) Find the present value of £^0 per annum to be received for 
20 years certain so that the purchaser would obtain 15 %. 

£^ per annum for 20 years=^6-25933i5 
^40 „ =6-2593315 X 40= 250-3732600 



Other examples of the working of the tables in this book 
are given on pp. 42-48. 



^ 



xl 



(XiX) 



a 



1 



INTEREST TABLES 



TABLE for the PUBCHASING of Leases, Estates, or Annaities, for terms of 

years certain at Bates from 1^ to 10 per cent. Interest which the 

FoTchaser may thereby make of his money 



Years 



I 

a 

I 

I| 

2 

2i 

3 

3h 

4 

4^ 
5 

5^ 
6 

6h 

7 

1\ 

8 

8| 

9 

9^ 

10 

II 

11^ 

12 
I2| 

13 
131 
14 
14 i 

16 

i6t 

i7i 

18 
19 

I9I 

20 

20h 
21 
2I\ 
22 

22i 

23 

23I 
24 

24^ 
25 



Yews' 1 1 0/ 

Purcha»e ±5^ /O 



•496 
•98s 

1-478 
I 956 

2-445 
2-912 
3*397 
3854 
4-336 
4-783 
5-260 

5-697 
6-171 

6-598 
7-069 

7-486 

7-953 
8-361 
8-823 
9-222 

9-681 
10-071 
10-527 
10-908 

1 1 -359 
11-732 
12-180 

12-543 
12-988 

13-343 

13-784 
14-131 

14-569 
14-908 

15-341 

15673 
16-103 

16-426 

16-853 
17-169 

17-592 
17-900 
18-319 
18-621 
19-037 

19-331 

19-743 
20-030 

20-439 

20-720 



5? 
5f 
6i 
6i 
7 

7i 
8 

8i 
8l 

9I 

9| 
10 

lO^ 

II 
II 

12; 
12; 

13 

i3k 

i3f 

I4i 

I4i 

15 

i5i 

I5| 
16 

i6i 

i6| 

171 

i7h 
18 

i8i 

i8i 

19 

19*^ 

I9f 
20 

20^ 

20f 



Tears' 1 3. 0/ 
Purchase ±4 /O 



•496 

•983 
1-474 
1-949 

2-436 
2-898 
3-381 
3831 
4-309 
4-748 
5-222 

5-649 
6-119 

6-535 
7-000 

7405 
7-866 

8-260 
8717 
9101 

9-554 
9.927 

10-376 

10-740 

1 1 -184 

1 1 -538 

1 1 -977 

12 322 
12-758 

13-093 
13-524 

13-851 
14-278 

14-595 
15-018 

15-327 
15-746 
16-046 
16-461 

16-753 
17-163 
17-448 

17-854 
18-130 

18-533 
18-801 
19-200 
19-461 

19-855 
20-109 



Years' O 0/ 
Purchase £t /o 



i 


•495 


I 


•980 


i^ 


1-470 


2 


1-942 


2h 


2-427 


3 


2-884 


3i 


3-364 


3-808 


1* 

44 


4-283 


4-713 


5,^ 


5-184 


5f 


5-601 


6 


6-067 


6| 


6-472 


7 


6-933 


7h 


7-325 


7i 


7-781 


H 


8-162 


8| 


8-613 


9 


8-983 


9^ 


9-428 


10 


9-787 


io.| 


10-228 


I of 


10-575 


II; 


11-012 


11^ 


11-348 


12 


11-780 


I2i 


i2-io6 


i 12,^ 


12-533 


' 13 


12-849 


I3h 


13-271 


I3I 


13-578 


i4i 


13-995 


I4i 


14-292 


15 


14-704 


154^ 


14-992 


i5f 


15-400 ; 


16 


15-678 


i6.i 


16-082 


i6f 


16-351 


i7i 


16-750 


'7? 


17011 


17^ 


17-405 


i8i 


17-658 


18^ 


18-047 


i82 


18-292 


I9t 


18-677 


19! 


18-914 


19-294 


20 


19-523 



^ 



3 

3i 

31 

4i 

4| 

Sk 

5i 
6 

6^ 

7 

7i 

7| 

H 

9 

9h 

9| 

io| 

loi- 
II 

H^ 

III 
12 

12^ 
I2f 

i3i 

I3I 

14 

144^ 

i4f 

15 

15^ 

i5f 
16 

i6i 
i6f 

17 

17^ 

I7f 
18 

i8f 

19 

194^ 
19^ 



piXse 21% Years 



•494 
-978 

1-467 

1-934 
2-418 

2-870 
3-348 
3-785 
4-257 
4-679 

5-J46 

5-554 
6-016 
6-410 
6-866 
7-247 
7-697 
8-066 
8-510 
8-866 
9-306 

9-649 
10-083 

10-415 
10-843 

II -164 
1 1 -587 
11-896 
12-314 
12-612 
13-025 

13-313 
13-720 

13-998 

14-400 

14-668 
15-064 

15-323 
15-715 
15-964 
16-350 
16-590 
16-972 
1 7 -203 
17-580 

17-803 

18-174 

18-389 

18-755 
18-962 



h 



ih 



2h 
2f 
3i 

3l 

4| 

5i 

Sh 
6 

6^ 

6| 

7} 

I* 

8f 

94^ 

9f 

o 

o| 
of 



2i 
■^4 

2i 

3 

3^ 
31 
4 
4^ 

4| 

5 

5^ 

5i 
6 

6i 

6^ 

7 

71 

71 

71 
8| 
8^ 
8| 
9 



I 

i^ 

2 

3 

3^ 
4 
4^ 
5 

5^ 
6 

6h 
7 
7k 
8 

8^ 

9 

9^ 
o 

oh 
I 

I^ 

2 
2h 

3 

3i 
4 
4^ 
5 

S§ 
6 

6| 
7 

71 
8 

8^ 
9 

91 
20 

20| 
21 

24 
22 

22^ 
23 

23i 

24 

245 

25 



Examples. — A lease or annuity for 14 years to make 2 per cent, and to get 
back the principal is worth 12- 106, or 12 years' purchase of the dear annual 
rent. At 3 per cent, it is worth 11-296, or 11^ years' purchase. 

(XX) 



INTEREST TABLES 



TABLE for the PTTBCHASIiro of Leases, Estates, or Annuities, for terms of 

years certain at Bates from 1^ to 10 per cent. Interest which the 

Purchaser may thereby make of his money 



Tears 



a 



I^ 



2-1 
^2 

3 

31 
4 

4i 

5 
el 

32 

6h 

72 

8 

10 

io| 

II 

"^ 
12 

12^ 

13 

13I 

14 

14^ 

15 

151 

16 

i6| 

17^ 

18 

18^ 

19 

I9f 
20 

20| 
21" 

21^ 
22 

22i 

23 

231 
24 
24§ 
25 



Years' 

Purchase 



2* 



O/ 



^O 



•494 
•976 

1-463 
1-927 
2-409 
2-856 

3-331 
3-762 

4-231 

4-646 

5-109 
5-508 

5-965 
6-349 
6-800 

7-170 
7-615 

7-971 
8-410 

8-752 
9185 

9-514 

9-941 

10-258 

10-679 

10-983 
1 1 -398 
11-691 
I2-IOO 
12-381 

12-785 

13-055 
13-452 
13-712 
14-104 

H-353 

H-739 
14-979 

15-359 
15-589 

15-964 
16-185 

16-554 
16-765 

17-129 

17-332 
17-690 
17-885 
18-238 
18-424 



J 



ih 



-^2 



3i 

3f 
4^ 
4f 

5 

5^ 
6 

64^ 
6| 

7i 

7h 
8 

8f 

94^ 

9^ 
10 

lol 

I of 

II 
Hi 
iif 
12 

12^ 

I2f 

13 
13^ 

I3f 
14 

I4i 

I4f 

15 

I5i 

15^ 

16 

161 

161 

i6f 

i7i 

i7i 

I7f 

18 

181 

i8i 



Years' O 3. 0/ 
Purchase ^4 /O 






•493 

•973 
1-460 

1-920 

2-400 

2-842 

3-315 
3-739 
4-206 

4-613 
5-072 
5-462 

5-915 
6-289 

6-736 

7-094 

7-534 
7-878 
8-311 
8-640 

9-066 

9-382 

9-802 

10-104 

10-518 

10-807 
II -214 

1 1 -491 
1 1 -891 

12-157 
12-551 
12-805 
13-192 

13-435 
13-817 

14-049 
14-424 
14*646 
15-015 
15-227 

15-591 

15-793 
16150 

16-344 
16-695 

16-879 
17-225 
17-401 
17-740 
17-908 



I 

Ih 

2 

2^ 
-^2 

2| 
3i 

3f 
4i 
4^ 

5 

5h 
6 

6i 
6f 

7 

7h 
8 

8^ 
SI 

9 

9h 
91 

ID 

I of 

Hi 
12 

I2i 

I2§ 
I2f 

134^ 
13^ 

I3f 

14 

14^ 

Hf 

15 

15^ 

15^ 

15I 
i6i 

i6i 

i6f 

17 

I7i 

171 

i7f 

18 



Years' Q 0/ 
Purchase O /O 



•493 
-971 

1-456 

1-913 
2-391 

2-829 
3 299 

3-717 
4-180 

4-580 
5-036 

5-417 
5-866 
6-230 
6-672 

7-020 

7-454 
7-786 
8-213 

8-530 

8-950 

9253 
9-665 

9-954 
10-360 

10-635 
1 1 034 
1 1 -296 
11-688 
1 1 -938 
12-323 
12-561 

12-939 
13-166 

13-538 

13754 
14-119 

14-324 
14-682 
14-877 

15-229 

15-415 
15-761 

15-937 
16-276 

16-444 
16-777 
16-936 
1 7 262 

17-413 



1 
2 



2i 

■^2 

2f 

1 3k 

3f 

! 4| 

5 
i 5^ 
I 51 
I 6i 

6f 

: 7 

7h 

7J 
8i 

S^ 

9 
9k 
9| 
10 

loi 

lof 
II 

Hi 

III 

12 

I2i 

I2i 

13 
I3i 

i3i 

I3f 

14 

Ui 

14^ 

15 

i5i 

151 

15I 
16 

i6i 

i6| 
i6f 



17 

i7i 

171 



Years' Qi 
Purchase O 2 



Oy 



^O 



I 
I 

2' 

2- 
3' 

3' 
4' 
4' 

4- 



For Explanations and Examples see 
pp. xxii. to xxxi. 

(xxi) 






•491 
•966 

-449 
-900 

•374 
-802 
-267 

•673 
130 

•515 

-964 
5329 
5-769 
6-115 
6-546 

6-874 
7-298 

7-608 
8-023 

8-317 

8724 
9-002 

9-401 

9-663 

10-054 

10-303 
10-686 
10-921 
11*296 
11-517 

1 1 -885 
12-094 

12-454 
12-651 

13-004 
13-190 

13-535 
13-710 

14-047 
14-212 

14-543 
14-698 

15-021 
15-167 
15-483 
15-620 
15-929 
16058 
16-361 
16-482 



2 

2i 
2f 

3i 

3l 
4i 
4^ 

5 

54^ 

51 
6 

6^ 
6f 

74^ 

71 
8 

8} 

8f 
9 

9h 
9f 
10 

loi 
lof 
II 

.Hi 

la 

12 

12 

I2i 

i I2f 

: i3h 

\ i3f 
14 
144^ 

14^ 
14^ 
15 

154^ 

i5h 
16 

16 



Years 



1 

3 



2i ' 



3 

3^ 
4 
41 
5 



161 



2 
24 

, 24I 

_ >6i_2S 

pp. xviii., xix. Tables continued on 



6^ 



7^ 

8 

8^ 

9 

9^ 
10 

lOi 

ii 

"5 
12 

I2| 

13 
13^ 

M 

15 

it 

i6| 

17 

17^ 

18 

i8i 

19 

19^ 
20 

20h 
21 

2li 

22 

22i 

23 
23f 



INTEREST TABLES 



TABLE for the PUBCHA8ING of LeaaesTKstates, or AnnuitiesTfor terms of 

years certain at Bates from 1| to 10 per cent. Interest which the 

Purchaser may thereby make of his money 



Years 



Yean' 1 1 o/ 
Purchase A2 To 



Yeara' 
Purchase 



21-125 
21-399 
21-800 
22 -068 
22-466 
22-727 
23-121 
23-376 

23767 
24-016 

24-404 
24-646 
25-031 
25-267 
25-648 

25-879 
26-257 

26-482 

26-856 

27-076 

27-446 
27-661 
28-028 
28-237 
28-601 
28-805 
29-166 
29-365 
29-722 
29-916 

30-270 

30-459 
30-810 

30-994 
31-342 

31-521 

31-866 

32-041 

32-382 

32-552 

32-891 

33-056 

33-392 

33*553 
33-885 

34-043 
34-371 
34-525 
34-850 I 
35*000 , 



21 
21^ 

2I| 

22 

22^ 

22f 

23 

23i 

23f 
24 

24^ 

24f 

25 

25i 

251 

26 

26| 

26* 

26f 

27 

27I 

27f 

28 

28i 

28I 



i 28f 
I 29i 

294^ 

29f 

I 30 

I 30i 
3oi 
3o| 
31 
31^ 

3i§ 

3if 

32 

32| 

32^ 

32f 

33 

33^ 

33^ 

34 

34 

34^ 

341 

34f 

35 



lf% 



Years' Q 
Purchase ^ 



20-499 
20-746 
21-132 
21-372 

21-754 
2 1 -987 
22-365 
22-592 
22-966 
23-186 

23-556 
23-770 
24-136 

24-344 
24-707 

24-908 
25-267 
25-462 
25-817 
26-007 

26-359 

26-543 
26-890 
27-069 
27-413 

27-586 
27-926 
28-095 
28-431 
28-594 

28-927 
29-085 
29-414 
29-568 
29-893 

30-042 
30-364 
30-508 
30-826 
30-966 
31-281 
31-416 
31-728 
31-859 
32-167 

32-294 

32-598 
32-721 
33-022 
33-141 



ExA^rPLEs.— A lease 
get back the principal 
annual rent. At 3^ per 



% 



iP^^wSLe 2i- % l^ears 



19-894 
20-121 
20-492 
20-707 
21-074 
21-281 
2 1 -644 
21-844 
22 -202 
22-396 

22-750 
22-938 
23-287 
23-468 
23-813 

23-989 

24*329 
24-499 

24-835 
24-999 

25-331 
25-489 
25-817 

25969 
26-294 

26-441 
26-761 
26-903 
27-219 

27355 
27-667 

27-799 
28-107 

28-235 

28-5-39 
28-662 
28-962 
29-080 
29-376 
29-490 

29-783 
29-892 
30-181 
30-287 

30-571 
30-673 

30-954 
31-052 

31-330 

31-424 



19*324 
19-523 

19-880 
20-072 
20-423 

20-608 
20-955 
21-132 

21-474 
21-645 

21-983 
22-147 
22-480 
22-638 
22-966 
23-118 
23-441 

23-587 
23 905 

24-046 

24-360 

24-495 
24-804 

24934 
25239 

25-363 
25-664 

25-783 
26-079 
26-194 

26-486 
26-595 
26-883 
26-988 
27-272 

27-372 
27-652 

27-748 
28-023 
28-115 

28-386 
28-474 

28-742 ! 

28826 

29-089 

29-170 

29-429 

29-506 

29-761 ! 
29-834 I 



194^ 

19^ 

20 

20 

20| 

2o| 

21 

21I 

2U 
2lf 

22 
22I 
22| 
22f 

23 
23 

23i 
23^ 
24 
24 

24i 

24I 

24f 

25 

254^ 
25} 
25I 

25f 

26 

26i 

26^ 

26I 

27 
27 

27^ 
v\ 
27I 

27| 

28 
28 

28^ 

28A 

28| 
28f 

29 
29i 
29I 
29^ 

29f 

29I 



25^ 
26 

27^ 

28 

28A 

29 

30 

31 

34 

32 

32§ 

33 

33^ 

34 

34^ 
35 

3Sh 
36 

37 

37^ 

38 



•2 

39 

391 

40 

40^ 

41 

411 
42 

42^ 

43 

43^ 

44 

44^ 

45 

45^ 
46 

46^ 

47 
47^ 

48i 

49 

49^ 

SO 



or annuity for 49 1 years to make 2\ per cent, and to 
IS worth 29-761 or 29I years' purchase of the clear 
cent. It 18 worth 23-443 or 23^ years' purchase, 
(xxii) 



INTEREST TABLES 



TABLE for the PUBCHASINO of Leases, Estates, or Annuities, for terms of 
years certain at Bates from 1§ to 10 per cent. Interest which the 
Purchaser may thereby make of his money 



Years 



Yean' Qi o/ 
Purchase £i 2 7X) 



18-772 
18-951 
19-293 
19-464 
19-801 

19-965 
20-297 

20-454 
20-780 
20-930 
21-252 

21-395 
21-712 

21-849 

22-160 

22-292 
22-598 
22-724 
23025 

23-145 
23-442 

23-556 
23-848 

23-957 
24-244 

24-349 
24-631 

24-730 
25-008 
25-103 

25-376 
25-466 

25-735 
25821 

26-085 

26-166 
26-426 
26-504 
26-760 
26-833 

27-084 

27-154 
27-401 

27-467 
27-711 

27-773 
28-012 

28-071 

28-306 

28-362 



i8f 

19 

19\ 

19^ 

I9f 

20 

20|- 

20^ 

20f 

21 

2li 

21,^ 

2l| 

2lf 

22^ 

22^ 

22^ 

22f 

23 

234- 

235 
23^ 
23f 
24 

24r 

24¥ 
24f 
24f 

25 
25 

25i 

25^ 

251 
25f 

26 

26\ 

26^- 

26| 
26| 
26f 

27 

27i 

275 
275 

27f 

271 

28 
28 

28 1- 



Years' 
Pi rchase 

18-242 
18-402 
18-730 
18-883 
19-206 

19-351 
19-668 

19-806 

20-118 

20-249 

20555 
20-681 

20-981 

21-100 

21-396 

21-509 
21-799 
21-906 
22-191 
22-293 

22-573 
22-670 
22-945 
23 036 
23-306 

23-393 
23-658 
23-740 
24-000 
24-078 

24-334 
24-407 
24658 
24-727 
24-973 

25-038 
25-280 

25-341 

25-579 
25-636 

25-869 

25-924 

26-152 

26-203 

26-427 

26-475 

26-695 

26-740 

26-955 
26-997 



2i 



% 



184^ 

i8f 

19 

^9\ 

i9i 

I9f 

19I 
20 

20i 

20i 

20| 

21 

21 

2li 

21^ 
2lf 
22 
22^ 

22^ 

22-| 
22f 

23 ' 
23 

23i 
23^ 
23f 

23f 

24 
24 

24i 

24i 
24f 
24f 

25 
25 

25i 
25i 

25^ 
25I 

25f 

26 

26i 
26i 
26i 
26i 
26f 
26f 

27 
27 



Years' q n/ 
Purchase O yo 



^7'734 
17-877 

18-192 
18-327 
18-636 

18-764 
19-067 
19-188 

19485 
19-600 

19-892 
20-000 
20-286 
20-389 
20-669 

20-766 
2 1 -040 
21-132 
21-401 
21-487 

21-751 
21-832 
22-091 
22-167 
22-421 

22-492 
22*741 
22 -808 
23-052 

23-115 

23-353 
23-412 

23-646 

23-701 

23-930 

23-982 

24-206 

24-254 
24-474 

24-519 

24-734 

24-775 
24-986 
25 025 
25-231 
25-267 

25-469 
25-502 
25-700 
25-730 



For 

pp. XX., 



I7f 
18 

i8i 

184^ 
i8| 

i8f 

19 

194^ 

19^ 

19I 

20 

20 

20i 
20| 
20f 

20| 

21 

2li 

2li 

2li 

2lf 

2l| 

22 

22i 

22i 

22§ 

22f 

22f 

23 
23 

23i 
235 
23f 
23f 

24 

24 

24r 

24k 

24I 

24^ 

24I 

24f 

25 

25 

251^ 

254^ 

25^ 

251 

251 
251 



Years' Qj^ q. 

Purchase <J 2 /O 



6-777 

6-890 

7-179 

7-285 

7-568 

7-667 

7-943 
8-036 

8-305 
8-392 

8-656 

8736 

8-994 
9*069 

9*320 

9-390 

9-636 

9-701 

9-941 
20-001 

20-235 
20-290 
20-519 
20-571 
20-794 

20-841 
21-059 
21-103 

21-315 
21-355 
21-563 
21-599 

2 1 802 
21-835 

22 033 

22-063 
22-255 
22-283 
22-471 
22495 

22 679 
22-701 
22-880 
22-899 

23074 
23-091 
23-261 
23277 
23-443 
23456 



6f 

7 

7k 
7i 
7h 

7\ 
8 

8 

8i 
8^ 

81 

9 

9 

9i 

91 

9f 
20 

20 



20| 



23? 

23i 

235 
235 



Years 

~^k 
26 
26^ 
27 

27^ 

28 

28| 

29 
29.^ 

30 
31 

3i§ 
32 

32§ 

33 

33^ 

34 

34^ 

35 

35f 



20i 


36 


20^ 


36I 


20i 


37 


20| 


37i 


20| 


38 


21 


38^ 


21 


39 


2U 


39^ 


2l\ 


40 


2I| 


40i 


21A 


41 


2lf 


4ii 


2rf 


42 


22 


4»^ 


22 


43 


22^ 


Mk 


22^ 


44 


22§ 


442^ 


22^ 


45 


22f 


45^ 


22| 


46 


23 


4H 


23 


47 


23 


47^ 


23 


48 



48§ 
49 
491 
50 



Explanations and Examples see pp. xviii. 
xxi. and on pp xxiv. to xxxi. 

(xxiii) 



xix. Tables continued on 



i 



INTEREST TABLES 



INTEREST TABLES 



I 

i 



TABLE for the PUECHASING of Leases. Estates, or Annuities, for terms of 
years certain at Bates from 1^ to 10 per cent. Interest which the 
Purchaser may thereby make of his money. 



Years 



51 
52 
53 
54 
55 
56 
57 
58 

59 
60 

61 
62 

63 

65 
66 

68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 

2? 

81 
82 

83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 
97 
98 

99 
100 



Tewt' 1 i 0/ I Yean' | 3 ^ . 



35-468 
35-929 
36383 
36-831 

37-271 
37706 

38-134 
38-556 

38-971 
39-380 

39*784 
40-181 
40-572 
40-958 
41-338 
41-712 
42-081 

42-444 
42-802 

43-155 
43-502 

43-845 
44-182 

44-514 
44-842 

45-164 
45-482 

45 795 
46-103 

46-407 

46-707 
47-002 
47-292 

47-579 
47-861 

48-139 
48412 

48-682 

48-948 

49-210 

49-468 
49722 
49-972 
50-219 
50-462 

50-702 

50-938 
51-170 

51-399 
51-625 



355 
36 
36^ 
36f 

i 28I 
i 3^ 
39 
39h 

39f 
40I 

40^ 

41 

4ii 

41I 

42 

42^ 

42| 

43i 

43s 
43f 
44¥ 
44^ 
44f 

45i 
453 
45f 
46 

46h 

46f 

47 

47.^ 

47h 

47f 

48,1 

48I 

48f 

49 

49} 

49l 

49f 

50 

50I 

50^ 

5o| 

51 

Sik 

5ii 

5if 



33*554 
33960 
34-358 
34-750 
35-135 

35-514 
35-886 
36-252 
36-611 
36-964 

37-311 
37-652 

37-987 
38-317 
38-641 

38-959 
39-272 

39-579 
39-881 
40-178 

40-470 
40-756 
41-038 

41-315 

41 587 

41-855 
42-118 

42 376 
42-630 
42-880 

43-125 
43-366 
43-603 

43-836 
44-065 

44-290 

44-511 
44-728 

44-942 
45-152 
45-358 
45-561 
45-760 

45-956 
46-148 

46-337 
46-523 
46-706 
46-885 
47-061 



33^ 

34 

34i 

34f 

35¥ 

35^ 
36 
36} 
36^ 

37 

37} 

37f 

38 

38I 

38I 

39 

394- 

395 

40 

4o| 

4o| 

4of 

41 

4ii 

41^ 

4i| 

42 

42^ 

42f 

43 

43 

43.^ 

43^ 

43| 

44 

44k 

44^ 

44f 

45 

45*^ 

45^ 

45^ 

451 

46 

46,^ 

46I 

46^ 

46f 

47 

47 



Yean 

Purchase 



« 2%\ 



Teart' Qi ^z 
Purchace £t^ yo 



31788 

32-145 
32-495 
32-838 

33-175 

33-505 
33-828 

34-145 
34-456 
34-761 
35060 

35-353 
35-640 
35-921 
36-197 
36-468 

36-733 
36-994 
37-249 

37-499 

37-744 
37984 
38-220 

38-451 
38-677 

38899 
39-117 
39-330 
39-539 
39-745 
39-946 

40-143 
40-336 
40-526 
40-711 

40-893 
41-072 
41-247 
41-419 
41-587 

41-752 
41-914 
42-072 
42-228 
42-380 

42-529 
42-676 
42-820 
42-960 
43-098 



30-156 
30-470 

30-778 
31-079 

31-373 
31-660 
31-942 
32-217 
32-486 
32-749 
33-006 
33-258 
33-504 

33-745 
33-980 

34-211 

34-436 
34-656 

34-871 
35-082 

35-288 

35-490 

35-687 

35-879 
36-068 

36-252 

36-432 
36-609 
36-781 
36-950 

37-115 
37-276 

37-434 
37-588 

37-739 
37-886 
38-031 
38-172 
38-310 

38445 

38-577 
38-706 
38-832 
38-956 
39-077 

39-195 
39-310 

39-423 
39-534 
39-642 



Years 



3ot 


51 


30^ 


52 


3o| 


S^ 


31 


54 


31^ 


55 


3if 


56 


32 


57 


32.^ 




32^ 


59 


32f 




33 


61 


33? 


62 


33^ 


63 


33^ 


64 


34 


65 


34 1 


66 


34^ 
34f 


U 


34f 


69 


35 


70 


35t 


71 


35t 


72 


35l 


73 


36 


74 


36 


75 


36^ 


76 


36^- 


77 


36I 


78 


36I 


79 


37 


80 


37 


81 


371 


82 


371 


83 


371 


84 


37f 


85 


38 


86 


38 


87 


38i- 


83 


38I 


89 


3H 


90 


38I 


91 


38I 


92 


38f 


93 


39 


94 


39 


95 


39f 


96 


391 


97 


39i 


98 


393 


99 


39l 


100 



Kant f^'*''^^•~^^•^''^^ or annuity for 75 years to make i* per'ce^tT^dto eet 

rent LTne?.!??-''^ ^u^l T ^^ ^'^''^ purchase ^f the cCannu^^ 
rent. At 2 per cent, it is worth 38-677 or 38* years' purchase. 

(xxiv) 



TABLE for the FVRCHASIVG of Leases, Estates 


. or Annuities, for terms of 


years certain at Bates from U to 10 per cent. Interest which the 1 


w 


Purchaser may thereby make of his money. 






Years 
51 


Years' Q 
Purchase ^ 


i% 


Purchase ^4% 


Yean' Q 0/ 
Purchase O 7b 


Yean' C 

Purchase «J 


A% 


Yean 

51 


28-646 


28f 


27-248 


27i 


25-951 


26 


23-629 


23f 


52 


28-923 


29 


27-492 


27^ 


26-166 


26i 


23-796 


23f 


52 


53 


29-193 


29k 


27-729 


27f 


26-375 


264I 


23-957 


24 


53 


54 


29-457 


29.2 


27-960 


28 


26-578 


26i 


24-113 


24 


54 


55 


29714 


29I 


28-185 


281 


26774. 


26f 


24-264 


24^ 


55 


56 


29-965 


30 


28-404 


28i 


26 965 


27 


24-410 


243 


56 


57 


30-210 


304- 


28-617 


28i 


27-151 


27k 


24-550 


24^ 


% 


58 


30-448 


305 


28-825 


28f 


27-331 


27k 


24686 


24f 


59 


30-681 


3of 


29-026 


29 


27-506 


27\ 


24-818 


24! 


59 


60 


30-909 


3^ 


29-223 


294^ 


27-676 


271 


24-945 


25 


60 


61 


31-130 


3ii 


29-414 


293 


27-840 


27| 


25-067 


^5, 


61 


62 


31-347 


31k 


29-600 


292^ 


28-000 


28 


25-186 


25i 


62 


63 


31-558 


H 


29-781 


29f 


28-156 


28i 


25-300 


25i 


63 


64 


31-764 


31! 


29-957 


30 


28-306 


28i 


25-411 


2S\ 


^ 


65 


31-965 


32 


30-128 


3oi 


28-453 


28^ 


25-518 


2lh 


65 


66 


32-161 


32i 


30-295 


3oi 


28-595 


28^ 


25-621 


25^ 


66 


67 


32-352 


32i 


30-458 


30I 


28-733 


28| 


25-721 


25f 


S 


68 


32-538 


325 


30-616 


30I 


28-867 


28f 


25-817 


25f 


68 


69 


32-720 


32! 


30770 


3of 


28-997 


29 


25-910 


26 


69 


70 


32-898 


33 


30-919 


31 


29-123 


29 


26-000 


26 


70 


71 


33-071 


33. 


31-065 


31 


29-246 


29} 


26-087 


26 


71 


72 


33-240 


33t 


31-207 


3ii 


29-365 


29i 


26171 


26i 


72 


73 


33-405 


333 


31-345 


3U 


29-481 


293 


26-253 


26i 


73 


74 


33566 


332 


31-479 


3i§ 


29-593 


29g 


26-331 


26i 


74 


75 


33-723* 


331 


31-610 


3ih 


29-702 


29I 


26-407 


26^ 


75 


76 


33-876 


34 


31-737 


3if 


29-808 


29I 


26-480 


26^ 


76 


77 


34-025 


34, 


31-861 


31I 


29-9IJ 


30 


26-551 


26§ 


U 


78 


34-171 


34i 


31-982 


32 


30-010 


30 


26-619 


26^ 


78 


79 


34-313 


34i 


32099 


32 


30-107 


30 


26685 


26I 


^ 


80 


34-452 


343 


32-213 


32i 


30-201 


3oi 


26-749 


26f 


80 


81 


34-587 


343 


32-3?4 


32i 


30-292 


30^ 


26-810 


26f 


81 


82 


34-719 


34f 


32-432 


32^ 


30-381 


30^ 


26-870 


26f 


82 


83 


34-848 


34f 


32-537 


32I 


30-467 


30I 


26-928 


27 


83 


84 


34-974 


35 


32-640 


32I 


30-550 


30^ 


26-983 


27 


84 


85 


35-096 


35 


32-739 


32f 


30-631 


3of 


27-037 


27 


85 


86 


35-216 


35i 


32-836 


32| 


30710 


3o| 


27-089 


27 


86 


87 


35-333 


3S| 


32-931 


33 


30-786 


30I 


27*139 


27i 


87 


88 


35-446 


35f 


33-023 


33 


30 860 


3o| 


27-187 


27i 


88 


89 


35-557 


351 


33-112 


33 


30-932 


31 


27-234 


27i 


89 


90 


35-666 


35f 


33-199 


33f 


31-002 


31 


27-279 


27i 


90 


91 


35-771 


35t 


33-284 


33? 


31-070 


31 


27323 


27I 


91 


92 


35-875 


35f 


33-366 


33t 


31-136 


3ii 


27-365 


27i 


92 


93 


35-975 


36 


33-447 


335 


31-200 


3ii 


27 -406 


27\ 


93 


94 


36-073 


3^1 


33-525 


333 


31-262 


3ii 


27-445 


275 


94 


95 


36-169 


36} 


33-601 


333 


31-323 


3M 


27-484 


27i- 


95 


96 


36-263 


3^1 


33-675 


331 


31-381 


31^ 


27-520 


27^ 


96 


97 


36-354 


36i 


33-746 


33f 


31-438 


3i| 


27-556 


27^ 


97 


98 


36-443 


36I 


33-817 


33f 


31-493 


31^ 


27-590 


27i 


98 


99 


36-529 


36I 


33-S85 


34 


31*547 


3i| 


27-623 


273 


99 


100 


36-614 


36I 


33-951 


34 


31-599 


3i| 


27655 


271 


100 



For Explanations and Examples see pp. xviii.; xix. 
pp. XX. to xxiii., and on pp. xxvi. to xxxi. 

(xxv) 



Tables continued on 



I 



INTEREST TABLES 



TABLE for the PURCHASING of Leases, Estates, or Annuities, for terms of 

years certain at Rates from !§ to 10 per cent. Interest which the 

Purchaser may thereby make of his money 



Years 



I§ 



3 

3h 
4 
4k 
5 

5^ 



6h 

7 

7h 

8 

^ 

9 
9^ 
10 

I0| 

II 

III 

12 

12^ 

13 

I3l 

14 

I4i 

15 

TO 

i6| 

17 

17^ 

i8 

i8| 

19 

I9l 

20 

201 
21 

24 
22 

22i 

23 
23I 

24 

24^ 

25 



Years' 
Purohaae 



O/ 



/O 



Years' ^ 



:i%| 



Years' 
Purchase 



•490 

•962 

1-442 

1-886 

2-357 

2775 
3 "236 
3-630 
4-081 

4-452 

4-893 
5-242 

5-674 
6 -002 

6-425 

6-733 
7-146 

7*435 
7-839 
8-III 

8-506 
8-760 
9-146 

9-385 
9-762 

9-986 

IO-353 
'IO-563 

0-922 

I-II8 

I 469 
1-652 
I 99 J 
2-i66 
2-499 

2-659 
2-985 
3-134 
3-451 
3-590 
3-900 
4-029 

4-331 
4-451 
4-745 
4-857 
5 143 
5-247 
5-526 
5-622 



^ 


-489 


I 


•957 


u 


1-435 


2 


1-873 


2} 


2-340 


2| 


2-749 


3i 


3-205 


3^ 


3-588 


4 


4-033 


4§ 


4-390 


5 


4-825 


5i 


5-158 


51 


5-582 


6 


5-893 


62^ 


6-306 


6f 


6-596 


7k 


6-999 


7k 


7-269 


71 


7-661 


8 


7-913 


8^ 


8-295 


H 


8-529 


9i 


8-901 


9k 


9119 


9i 


9-481 


10 


9-683 


loi 


10-036 


io| 


10-223 


II 


10-566 


II 


10-740 


"f 


1 1 074 


11/ 


11-234 


12 


11-559 


I2i 


11-707 


I2| 


12*023 


I2»- 


12-160 


13 


12-467 


^34- 


12-593 


1 31 


12-891 


13^ 


13-008 


[4 


13-298 


14 


13-405 


t4i 


13-686 


'41 


13-784 


'4; 


14-058 


Hi 


14-148 


i5i- 


14-413 


I5i 


14-495 


'5^ 


14-753 


'5^ 


14-828 



If 

2i 
2f 
3i 

3^ 

4 

4^ 

4? 

5i 

51 
6 

6i 

6| 
7 

7k 
7i 
8 

8| 

8| 

9 

9 

9§ 

9i 
o 

oi 
o| 
o| 



I* 



2i 
2| 
2| 

3 

3 

Z\ 
31 
3f 

y\ 
4 

4i 
4| 
4| 
4? 
4f 



5%( 



Years' 
Purchase 



6% 



Examples, — A lease or annuity for 
get back the principal is worth 9683 or 
rent. At 5 per cent, it is worth 9-394 or 



•488 

•952 
1-428 
1-859 
2-323 
2-723 
3-175 
3-546 
3-985 
4-329 

4-757 
5-076 

5-492 
5-786 
6-191 

6-463 
6-856 
7-108 
7-489 
7-722 

8-092 
8-306 
8-666 
8-863 

9*212 

9-394 
9-732 

9-899 
0-227 

0-380 

0-698 
0-838 
1-146 

1-274 

1-573 
1-690 
1-979 
2-085 

2-365 
2-462 

2-733 
2-821 

3-083 
3-163 
3-417 
3-489 
3-734 
3-799 
4-036 
4-094 



h 



i^ 
2i 

2f 

3i 
3i 
4 
4i 

4f 



5 

5o^ 
5f 
6i 

6| 

6| 

7 

7h 

7i 

8 

8i 
8f 
8f 

9i 

9h 
9i 
o 



oi 

0:1 
o^ 

I* 
li 

If 



2| 

2f 
2^ 
3 

3i 
3^ 

3^^ 

3l 

3f 

4 

4 



-485 

•943 
1-414 

1-833 
2-290 

2-673 

3-115 

3-465 

3-893 
4-212 

4-626 
4917 
5317 
5-582 

5-969 

6-2IO 

6-583 

6-802 

7 162 
7-360 
7-708 
7-887 

8-222 

8-384 
8-707 

8-853 
9164 

9-295 
9-594 
9-712 

10-000 
10-106 
10-383 

IO-477 
10-744 

10-828 
1 1 -084 
11-158 
11-404 
11-470 

11-706 
11-764 
11*991 
12*042 
12*259 

12-303 
12-512 

12-550 
12-751 
12-783 



Years 



1 
a 


h 


I 


1 


Ik 


I^ 


Ir 


2 


2* 


2h 


2i 


3 


3 


3^ 


3^ 


4 


4 


4^ 


4J 


5 


4| 


5^ 


1 5 




5i 


6.^ 


5^ 


7 


6 


7§ 


6i 


8 


(>k 


8^ 


6| 


9 


H 


9.^ 


7k 


10 


7f 


10.^ 


8 


II 


«i 


II* 


^ 


12 


8| 


12* 


8| 


13 


9k 


13.^ 


9k 


14 


9k 


142^ 


9t 


15 


10 


15^ 


10 


16 


IO.| 


16^ 


io.i 


17 


lOf 


i7§ 


io| 


18 


II 


m 


Ilk 


19 


I If 


191 


11^- 


20 


llf 


20* 


Hi 


21 


12 


211 


12 


22 


I2i 


22,^- 


I2i 


23 


12^ 


23* 


1 2k 


^4. 


I2f 


24I 


I2'i 


25 



13 years to make 4^ per cent, and to 
years' purchase of the clear annual 
k years' purchase. 



INTEREST TABLES 



TABLE for the PURCHASING of Leases, Estates, or Annuities, for terms of 


years certain at Rates firom 1^ to 10 per cent. Interest whioh the 


Purchaser may thereby make of his money 




Years 
k 


Years' n 0/ 
Purohaae 1 /O 


Pur^il!se. 8 % 1 


Pu^hLe 9 % Purchase 10 %\ 


Years 
k 


-483 ! h 


•481 ! 


k 


-478 


k 


-476 


k 


I 


•935 I 


-926 , 


I 


917 


I 


-909 


I 


I 


I* 


1-401 


ll 


1-388 1 


Ik 


1-374 


li 


1-362 


Ik 


li 


2 


I -808 


If 


1-783 


n 


1-759 


i| 


1-736 


II 


2 


2k. 


2-258 : 


2i 


2-226 


2k 


2*195 


2k 


2165 


2k 


2^ 


3 


2 624 


2k 


2-577 


2k 


2*531 


2k 


2-487 


2k 


3 


3^ 


3-057 


3 


3-001 


3 


2*946 


3 


2-893 


3 


zk 


4 


3-387 


3* 


3-312 


3i 


3*240 


3i 


3-170 


3i 


4 


4* 


3804 


3i 


3-718 


3f 


3634 


3f 


3-554 


3^ 


4^ 


5 


4100 


4 


3-993 


4 


3-890 


4 


3-791 


3f 


5 


5* 


4-501 


4* 


4-380 1 


4^ 


4*264 


Ak 


4-153 


4i 


i^ 


6 


4-767 


4f 


4-623 


4§ 


4*486 


Ak 


4-355 


4i 


6^ 


5-151 5i 


4-993 


5 


4-841 \ 


4f 


4-697 i 


4i 


61 


7 


5-389 5* 


5 -206 ! 


Sk 


5-033 1 


5 


4-868 1 


4| 


7 


7* 


5*759 1 5f 


5*559 i 


Sk 


5-370 1 


Sk 


5-190 1 


Sk 


7i 


8 


5-971 


6 


5-747 


Si 


5-535 1 


Sk 


5-335 ; 


Sk 


8 


^ 


6-326 


6i 


6*083 


6 


5-854 1 


5f 


5-637 


5f 


8^ 


9 


6-515 


6* 


6*247 ; 6^ 


5995 6 


5*759 


1^ 


9 


9^ 


6-855 


61 


6-567 6\ 


6 297 1 6^ 


6043 


6 


9k 


10 


7-024 i 7 1 


6-710 6| 


6*418 ; 6i 


6-145 


6i 


10 


io| 


7-349 


7k \ 


7-015 ■ 7 


6-702 


6! 


6-411 


6i 


I0| 


II 


7-499 7k 1 


7-139 I 


7k 


6*805 i 


6| 


6-495 


6^ 


II 


11^ 


7-810 7f 1 


7-428 ' 


7k 


7-074 


7 


6-744 


61 


11^ 


12 


7*943 


8 


7-536 i 


7k 


7*161 : ^\ 1 


6814 


6f 


12 


I2| 


8-241 


8i 


7-8ii 


71 


7-414 


7k 


7-047 


7 


12^ 


13 


8-358 


8i 


7-904 


8 


7-487 


7k 


7*103 


7 


13 


13^ 


8-643 


8| 


8-165 


84^ 


7-726 - 


7f 


7*322 


7k 


134 


14 


8-745 


8| 


8-244 


8i 


7-786 


7f 


7-367 


7k 


'^x 


145 


9-018 


9 


8-492 


8^ 


8-01 1 


8 


7-571 


-7k 


I4i 


15 


9-108 


9 


8-559 


8^ 


8-o6i 


8 


7*606 


7k 


15 


15^ 


9-368 


9k 


8-794 


8| 


8-272 


8i 


7-796 


71 


'5* 


16 


9-447 


9k 


8-851 


8-313 


8i 


7-824 


7f 


16 


16^ 


9-695 


91 


9-074 


9 


8-511 


^ 


8-OOI 


8 


Itk 


17 


9-763 


9\ 


9*122 


9 


8-544 


^ 


8-022 


8 


'7. 


17* 


lo-ooo 


10 


9-332 


9k 


8-731 


8| 


8-187 


8i 


17* 


18 


10-059 


i 10 


9-372 


9k 


8-756 


8| 


8-20I 


H 


18 


18^ 


10-285 


loi 


9-571 


9k 


8-931 


9 


8-356 


8i 


184 


19 10-336 


lot 


9-604 


9k 


8-950 


9 


8-365 


!^ 


'^r 


19H 10-551 IO§ 


9-792 


! 9\ 


9-115 


9 


8-509 


8^ 


19J 


20 


10-594 10^ 


9-818 


1 9l 


9-129 


9k 


8-514 


8^ 


20 


20^ 


10-800 lof 


9.997 


10 


9-283 


9\ 


8-647 


8| 


20* 


21 


10-836 1 io| 


10-017 


10 


9-292 


9k 


8-649 


8| 


21 


21* 


11-031 II 


10-185 


loi 


9*437 


9\ 


8-773 


8f 


21* 


22 


II -061 II 


10-201 


lOj 


9*442 


9l 


8*772 


8f 


22 


22^ 


1 1 -248 


Hi 


10-360 


lOj 


9-578 


9k 


8*887 


9 


22* 


23 


11-272 


"i 


10-371 


lOj 


9-580 


9k 


8*883 


9 


23 


235 


11-450 


! Hi 


10-521 


10^ 


9-707 


9l 


8-991 


9 


23i 


24 


11-469 


1 Hi 


10-529 


IO| 


9-707 


91 


8-985 


9 124 


245! "-638 i Ilf 
25 1 "-654 , II| 


10-671 


IO| 


9*826 


9f 


9*084 


9 1 24I 


10*675 


lOj 


9-823 


94 


9-077 


9 


|25 



(xxvi) 



For Explanations and Examples see pp. xviii. 
pp. XX. to XXV. and on pp. xxviii. to xxxi. 

(xxvii) 



xix. Tables .continued on 



INTEREST TABLES 



INTEREST TABLES 



TABLE for the PURCHASING of Leases, Estates, or Annnitiei, for terms of 

years certain at Kates from 1^ to 10 per cent. Interest which the 
Purchaser m ay thereby make of his money 

6% Yea« 



Tears 



25h 
26 

27 
28 
29 

30 

30^ 

31 

3i§ 

32 

32^ 

33 

33^ 
34 
34f 
35 

35t 

36 

36^ 

37 

37^ 

38 

2»h 

39 

395 

40 

4o| 
41 

41^ 
42 

42I 

43 

43^ 

44 

44^ 

45 

iSh 
46 

46I 

47 

47i 

48 

48^ 

49 

491 

50 



Yean' 
Purchase 



4% 



15-894 

15-983 
16-248 

16-330 
16-587 

1 6 663 
16-914 
16-984 
17-228 
17-292 

17-530 
17-588 

17-820 
17-874 
18-099 

18-148 
18-367 
18-411 
18-624 
18-665 

18-872 
18-908 
19-110 

19-143 
19-339 
19-368 

19-558 

19-584 
19-770 
19793 

19-973 

19-993 
20-168 
2o-i86 
20-356 
20-371 
20-536 
20-549 
20-709 
20-720 

20-876 
20-885 
21-036 
21-043 
21-190 
21-195 
21-338 
21-341 
21-480 
21-482 



16 

16 

16.^ 

i6i 

16^ 

i6| 

17 

'7\ 
174 

I7t 

J7 

I7f 
18 

i8[ 
i8i 

i8| 
i8f 
i8| 

19 
19 
194^ 
i9i 

19k 
I9h 
19I 
19I 
19I 

20 
20 
20J 

20| 
20^ 

20 f 
20| 
20| 
20f 
20f 

21 
21 

21 
21 
2li 

21I 
2li 
2li 
2I| 
2I| 



Ye»s' A 10/ 
Purchase ^2 /<> 



15-078 

15-147 

15-389 

15-451 
15-686 

15-743 
15-971 
16-022 
16-243 
16-289 

16503 

16-544 
16-752 

16-789 

16-990 

17-023 
17-218 
17-247 

17-436 
17-461 

17-644 
17-666 

17-843 
17-862 

18-034 

18-050 
18-216 
18*230 
18-391 
18-402 

18-557 
18-566 

18-717 
18-724 
18-869 
18-874 
19-015 
19-018 

19-155 
19-156 

19-288 
19-288 
19-416 

19-415 
19-538 

19-536 

19-655 
19-651 

19-767 

19762 



Tears' 

Purchase 



5% 



15 


14-323 


i5i 


14-375 


155 


14-597 


15^ 


14-643 


i5f 


14-857 


151 


14-898 


16 


15-105 


16 


15-141 


i6i 


15-341 


I6i 


15-372 


i6i 


15-565 


I6,i 


15-593 


i6f 


15-779 


i6| 


15-803 


17 


15-982 


17 


16-003 


i7i 


16-176 


17 k 


16-193 


i7k 


16-360 


i7k 


16-374 


I7f 


16-536 


m 


16-547 


i7i 


16-702 


I7f 


16-711 


18 


i6-86i 


18 


16-868 


i8i 


17-013 


m 


17-017 


1 81 


17157 


18^ 


17-159 


I$l 


17-294 


i8i 


17-294 


'St 


17-424 


i8| 


17-423 


i8| 


17-548 


i8f 


17-546 


19 


17-666 


19 


17-663 


I9i 


17-779 


19.^ 


17-774 


I9l 


17-886 


I9i 


17-880 


19.^ 


17-988 


19^ 


17-981 


19^ 


18-085 


19.^ 


18-077 


I9f 


18-177 


I9f 


18-169 


i9| 


18-265 


I9| 


18-256 



144^ 
14^ 

141 
i4f 
I4f 

15 

15 

i5i 

i5i 

i5i 

15^ 

15^ 

151 

1 51 
16 

16 
i6| 

i6i 

16} 
16L 

i6i 

i6i 
i6| 

i6| 

i6f 

i6| 

17 
17 
i7i 
i7i 

171 
i7i 
17^ 
17^ 
17^ 

17^ 

i7f 

i7f 

171 

i7f 

18 

18 

18 

18 

18 

18 

181 
i8| 

18I 
18I 



Years' 
Purchase 



12-976 
13-003 

13-187 
13-211 

13-387 
13-406 

13-575 
13-591 
13-753 
13-765 
13-920 

13-929 
14-078 

14-084 

14-226 

14-230 

14-367 
14-368 

14-499 
14-498 
14-623 
14-621 
14-740 

14-737 
14-851 

14-846 

14-955 
14-949 
15-053 
15-046 

15-146 

15-138 

15-233 
15-225 

15-316 

15-306 

15-393 
15-383 
15-466 

15456 

15-535 

15-524 
15-600 

15-589 
15-661 I 

15-650 I 

15-719 
15-708 i 

15-773 ^ 
15-762 i 



391 



h^of^tT^^^'~\ ^-^^'^ "il ^"''""y ^"""^ 40 years to make 4 per cent, and to get 
rent AtT2'^^ I" '7"^"'^ 'V^^ ^^'^f years' purchase of the cUar annua 
rent. At 6 per cent, it is worth 15-046 or 15 years' purchase. 

(xxviii) 



TABLE for the PUBCHA8ING of Leases, Estates 


, or Annuities, for terms of 




years certain at Bates from 1^ to 10 per cent. Interest which the 






Purchaser may thereby make of his money 




Years 
25^ 


Years' 7 n, 1 
Purchase 1 /o | 


Pu^^ue 8 % 1 


Purc"ase 9 % \ 


FurX!MlO%| 


Yeais 
251 


11-814 


iif 


10-809 


lof 


9-934 


10 


9-169 


91 




1 1 -826 


III 


io-8io 


lOf 


9.929 


10 


9-161 


91 


26 


26h 


11-979 


12 


10-936 


11 


10-033 


10 


9-247 


91 


26| 


27 


11-987 


12 


10-935 


11 


10-027 


10 


9-237 


91 


27 


27^ 


12-132 


12i 


11-054 


11 


10-124 


10 


9-317 


9l 


271 


28 


12137 


121 


11-051 


11 


10-116 


10 


9-307 


91 


28 


28,} 


12-275 


I2I 


11-163 


''\ 


10-207 


lol 


9-380 


9l 


284 


29 


12-278 


I2I 


11-158 


III 


10-198 


lol 


9-370 


9l 


29 


292^ 


12*409 


12^ 


1 1 -264 


III 


10-283 


lol 


9-438 


9l 


29I 


30 


12-409 


12i 


11-258 


111 


10-274 


loi 


9427 


9l 


30 


301 


12-534 


12^ 


11-357 111 


10-353 


lol 


9-490 


9| 


30I 


31 


12-532 


12| 


11-350 111 


10-343 


lol 


9 479 


92 


31 


31^ 


12 650 


12f 


1 1 444 


11^ 


10-417 


io| 


9538 


9h 


3II 


32 


12-647 


12f 


11-435 i 


Hi 


10-406 


io| 


9-526 


9h 


32 


32.^ 


12-759 


12| 


11-523 


11^ 


IO-475 


io| 


9-581 


9h 


32I 


33 


12-754 


12f 


11514 


III 


10-464 


io| 


9-569 


9k 


33 


33l 


1 2 860 


I2f 


11-597 i 


111 


10-529 


10^ 


9 620 


9k 


33l 


34 


12-854 


12f 


11-587 : 


III 


10-518 


io| 


9-609 


9h 


34 


34^ 


12-955 


13 


11-665 iif 


10578 


io| 


9-655 


9f 


341 


35 


12-948 


13 


11-655 iif 


10-567 


IO§ 


9-644 


9f 


35 


35^ 


13-044 


13 


11-728 uf 


10623 


io| 


9-687 


9f 


351 


36 


13-035 


13 


11-717 Iif 


10612 


10^ 


9677 


9f 


36 


362^ 


13-126 


13 


11786 llf 


10 664 


I of 


9-716 


9f 


36I 


37, 


13-117 


13 


11-775 llf 


10-653 


lOf 


9-706 


9f 


37 


37^ 


13-203 


1 31 


1 1 -840 


llf 


10-702 


lOf 


9-742 


9f 


371 


38 


13-193 


131 


11 829 Iif 1 


10-691 


lOf 


9-733 


9f 


38 


38^ 


13-275 


131 


11-890 


12 


10-736 


lOf 


9-766 


9I 


38I 


39 


13-265 


131 


11-879 


12 


10-726 


I of 


9-757 


9f 


39' 


39^ 


13-342 


13I 


1 1 936 


12 


10-768 


I of 


9-788 


9f 


391 


40 


13-332 


13I 


1 1 -925 


12 


10-757 


I of 


9-779 


9f 


40 


40I 


13-405 


131 


11-979 


12 


10-797 


I of 


9-808 


9f 


40! 


41 


13-394 


13^ 


11-967 


12 


10-787 


lof 


9-799 


9f 


41 


4ii 


13464 


131 


12-018 


12 


10-823 


lof 


9-826 


9f 


41I 


42 


13-452 


i3i 


12-007 


12 


10-813 


I of 


9-817 


9f 


42 


421 


13-518 


13^ 


12-054 


12 


10-848 


lOf 


9-842 


9f 


42i 


43, 


13-507 


13^ 


12-043 


12 


10-838 


lof 


9834 


9i 


43 


AZk 


13-569 


13^ 


12-088 


12 


10870 


I of 


9-857 


.91 


43l 


44 


13-558 


131 


12-077 


12 


10-861 


lof 


9-849 


9f 


44 


445 


13-617 


13^ 


12-119 


12 


10-890 


II 


9-870 


9 


44l 


45 


13 606 


13^ 


12-108 


1 12 


IO-88I 


II 


9-863 


9f 


45 


451 


13-662 


i3f 


12-148 


1 ^2l 


10909 


11 


9-882 


10 


451 


^Jx 


13650 


I3f 


12-137 


12; 


10-900 


11 


9-875 


10 


46 


46^ 


13-703 


i3f 


12-174 


12- 


10926 


11 


9893 


10 


46I 


47 


13-692 


13? 


12-164 


12: 


10-918 


II 


9-887 


10 


47 


47^ 


13-742 


i3f 


I2I99 


12; 


10-941 


II 


9-903 


10 


471 


4f. 


13-730 


13I 


12-189 


I21 


10-934 


II 


9-897 


10 


48 


48I 


13-778 


13I 


12-222 


I21 


10-956 


II 


9-912 


10 


48I 


49 


13-767 


131 


12-212 


121 


10-948 


11 


9906 


10 


49 


49l 


13812 


13I 


12-243 121 


10-969 


11 


9-920 


10 


49l 


50 


13-801 


i3f 


12-233 I2I 


1 10-962 


II 


9-915 


ID 


1^0 



For Explanations and Examples see pp. xviii., xix. Tables continued on 
pp. XX. to xxvii. and on pp. xxx., xxxi. 

(xxix) 



INTEREST TABLES 



INTEREST TABLES 



I TABLE for the PURCHASING of Leues, Estates, or Annuities, for temg of 
years certain at Rates from 1^ to 10 per cent. Interest which the 
Purchaser may thereby make of his money. 



i 



Tears 



|pTm!^!!M 4 % 



51 

52 

53 
54 
55 
56 

57 
58 

00 

6i 

62 

P 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 
76 

79 
80 

81 
82 

83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 
97 
98 

99 
100 



21-617 

21748 

21-873 
21-993 

22-109 

22 -220 

22-327 

22 '430 

22-528 

22-623 

22-715 
22-803 
22-887 
22-969 
23-047 

23-122 
23-194 
23-264 
23-330 
23-395 
23-456 
23-516 

23-573 
23-628 

23-680 

23-731 
23-780 

23-827 

23-872 

23-915 

23-957 
23-997 

24-036 

24-073 

24-109 

24-143 
24*176 

24-207 

24-238 

24-267 

24-295 
24-323 
24-349 
24-374 
24-398 

24-421 

24443 
24-465 
24-485 

24-50 



I 2li 
2lf 

22 

22 

22^ 

22J 

22i 

22^ 

22I 

22| 
22f 

23- 

23 
23 

23 

23i 

23i 

234^ 

23i 
23I 

23i 

235 

23f 
23f 

23f 
23f 
23f 
23f 

24 

24 
24 

24 
24 
24 

24^ 

24f 
24f 

24i 
24i 

244^ 
24^ 

24i 

24i 
241 

245 

24^ 
24.^ 

241 

24^ 



Yew.' A 10/ 
Purehase%2 /^ 



19-868 

19*969 
20 -066 

20*150 

20-248 

20 '333 
20-414 
20-492 
20 567 
20*638 

20*706 
20*772 
20*834 
20*894 

20*951 

21*006 
21-058 

2I'Io8 

21-156 

2 1 -202 
2 1 -246 
21*288 

21-328 

21*367 

21*404 
21*439 
21-473 

21-505. 
21*536 
21*565 

21-594 
21-621 
21-647 
21-671 

21-695 

21-718 
21-740 
21-760 
21-780 
21-799 

21-817 
21-835 
21-852 
21-868 

21-883 

21-897 
21-911 
21-925 
21-938 
21-950 



I9f 
20 

20 

20} 

20|^ 
2o| 

20^ 
20^ 

20§ 
20f 

20f 

20f 

20| 

21 

21 

21 

21 

21 

2li 

2li 

2ll 

2li 

21A 

2li 

21A 
2li 
21^ 
2li 
21^ 

21^ 
21J 
2lf 
21.1 
2I| 
2I| 
2I| 
2I| 
2lf 

2lf 
2lf 

2I| 

21I 
4 

22 

22 
22 
22 
22 
22 



Yean' |; 0/ 
Pnrohase U /O 



18-339 
18*418 

18-493 
18*565 
18*633 

18-699 
18-761 
18*820 
18*876 
18*929 

18*980 
19-029 
19075 
19*119 
19*161 

19-201 
19*239 
19-275 
19-310 

19-343 

19-374 
19-404 

19*432 

19-459 
19-485 
19*509 

'9-533 
19-555 
19-576 
19-596 
19*616 
19*634 
19-651 
19668 
19-684 

19-699 
19-713 
19-727 
19-740 
19-752 
19764 

19775 
19*786 

19*796 

19-806 

19*815 
19-824 
19*832 
19-840 
19-848 



i8i 
18^ 
18.^ 
i8| 

18^ 
i8f 
i8f 

i8f 

19 

19 

I 19 
19 

I 19 
19 
I9i 

194^ 
194^ 
19} 
194^ 
194^ 

19^ 
I9i 
19I 
^9h 
19I 

19^ 
i9i 

19^ 
19^ 
I9i 

19^ 
19^^ 
19I 
19I 
19I 

19I 
19I 
19I 



i9| 
I9| 
19? 
19I 
I9l 
I9| 
i9f 
19I 

I9f 
I9t 



Yean' £% q. 

Purchase U To 



15-813 
15-861 

15*907 

15-950 

15-991 

16-029 

16*065 

16-099 

16*131 

i6-i6i 

16-190 
16-217 
16-242 
16*266 
16*289 

16*310 
16*331 
16*350 
16*368 
16-385 

16*401 
16*412 
16*430 

16-443 
16-456 

16-468 
16*479 
16-490 
16*500 
16*509 

16*518 
16*526 

16*534 
16*542 

16-549 

16*556 
16-562 
16-568 

16-573 
16-579 

16*584 
16*588 

16-593 
16*597 

16*601 

16-605 
1 6 608 
16-611 
16*615 
16*618 



Examples. — A lease or annuity for 70 
back the principal is worth 23*395 or 23^ 
rent. At 6 per cent, it is worth 16*385 or 

(xxx) 



I5I 

16 
16 
16 

16 
16 
16 

I6i 
i6|^ 

I6i 
161 
161 
161 

161 
i6i 
161 
i6i 
161 

1 61 
161 
i6§ 
161 
16^ 
16I 
16^ 

16^ 
161 

1 61 

16^ 

16^ 

16 

i6| 

161 
16^ 
16^ 
16^ 

.16^ 
161 
16^ 
16^ 
16^ 
16^ 
161 
i6| 
16^ 
16I 
16^ 



Years 

51 

52 

53 
54 
55 
56 

57 
58 

59 
60 

61 

62 

63 

64 

65 

66 

67J 
68 

69 
70 

71 
72 
73 
74 
75 
76 
77 
78 

79 
80 

81 
82 

83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 
98 

99 
100 



TABLE for the PURCtfASING of leases, Estates, or Annuities, for 
years certain at Rates from li to 10 per cent. Interest which 
Purchaser may thereby make of his money. 



terms of 
the 



Years 

51 
52 

53 

54 
55 
56 

5Z 
58 

59 



Yean' fj 
Purohate I 



61 
62 
63 
64 
65 

66 

57 
68 

69 
70 

71 
72 

73 
74 
75 
76 

77 
78 

80 

81 
82 

83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 



99 
zoo 



13-832 

13*862 
13-890 
13-916 

13-940 
13*963 

1 3 '984 
14*003 
14*022 
14*039 

14-055 
14*070 
14-084^ 
14-098 
14-110 

14-121 
14-132 
14-142 
14*152 
14-160 

14-169 
14-176 
14*183 
14-190 
14-196 

14*202 
14-208 

14-213 
14-218 

14-222 

14-226 
14 230 

14-234 
14-237 
14-240 

14-243 
14-246 
14-249 
14-251 
14253 

14255 

14-257 

14-259 
14-261 

14-263 

14-264 
14-266 
14-267 
14-268 
14-269 



% 

i3f 

i3f 

14 

14 

14 

14 
14 
14 
14 
14 

14 
14 
14 
14 
14 
14 
^A\ 

144^ 
^A\ 

Hi 
Hi 
Hi 
Hl- 
Hi 

Hi 
Hi 
Hf 
Hi 
^^\ 

^^\ 
^^\ 
Hi 
Hi 
Hi 

Hi 
IA\ 
Hi 
iA\ 
^A\ 

Hi 
Hi 

H\ 

'^\ 
141, 

HI 
Hi 
Hi 

Hi 

Hi 



Yean' 
Purohase 



8% 



12-253 
12*272 
12*288 
12*304 
12*319 
12*332 

12*344 
12*356 
12*367 
12*377 

12*386 

12-394 
12-402 

12*409 

12*416 

12-422 
12:428 

12*433 
12-438 

12-443 

12-447 
12-451 

12-455 
12-458 

12*461 

12*464 
12*467 
12*469 
12*471 

12*474 

12*475 
12-477 

12-479 
12-481 
12-482 

12*483 
12*485 
12*486 
12*487 
12-488 
12*489 
12*489 
12*490 
12-491 
12*492 

12*492 
12-493 
12-493 
12-494 
12-494 



Yean' 
Purohase 



9 % Ul^SllO 



0, 



o 



121 

I2i 
I2i 

I2i 
I2i 

12i 
I2I 
I2i 
12^ 
12^ 

I2I 
1 21 
I2I 
I2I 
121 

I2| 
121 

12^ 

12^ 
121 

1 21 

121 

12§ 

I2| 

I2| 

I2| 
121 
121 

I2i 

121 

12^ 
121 

121 

I2| 

121 

IH 
I2I 

I2I 



12| 


124- 


121 


121 


121 


121 


12^ 


I2i 


12^ 


I2I 



10-974 
10-985 

10-996 
11-005 
11-014 

1 1 *022 
1 1 029 
1 1 -036 
1 1 042 
1 1 -048 

1 1 -053 
1 1 -058 
11*062 
11*066 

1 1 *o7o 

1 1 -073 
1 1 -077 
1 1 -079 
11-082 
1 1 -084 
11-087 
11*089 
11 091 
11*092 
11*094 

11*095 
1 1 -097. 
11-098 
II 099 
11*100 

11-101 
II 102 
11-102 
11-103 
11-104 

11*104 
11*105 
11*105 
ii*io6 
II -106 
11-107 
11*107 
11*107 
11*108 
11*108 

11*108 
11-109 
11*109 
11-109 
11*109 






11 
11 
li 
II 
II 

II 
II 
II 
II 
II 

II 
11 
II 
II 
II 

II 
11 
u 
II 
II 

11 
II 
II 
11 
II 

II 
II 
II 
II 
II 

II 
II 
II 
11 
II 

II 
II 
II 
II 
II 
II 
11 
II 
II 
11 

II 
II 
II 
II 
II 



9-923 
9-930 

9-936 
9-942 

9-947 

9-952 
9-956 
9-960 

9-964 
9-967 
9-970 

9-973 
9-975 
9-978 

9-980 

9-981 

9983 

9985 
9986 

9-987 

9988 

9-990 

9-990 
9-991 
9992 

9 993 
9-994 
9-994 
9 995 
'9 995 
9-996 
9-996 
9.996 
9-997 
9 997 

9-997 

9997 
9*998 
9-998 
9-998 

9-998 
9-998 

9-999 
9-999 
9*999 

9-999 
9 999 
9-999 
9 999 
9-999 



10 
10 
10 
10 
10 

10 
10 
10 
10 
10 

10 
10 
10 

10 
10 

10 
10 
10 
10 
10 
10 
10 
10 
10 
10 

10 
10 
10 
10 
10 
10 
10 
10 
10 
10 

10 
10 
10 
10 
10 
10 
10 
10 
10 
10 

10 
10 
10 
10 
10 



Years 

51 

52 

53 

54 
55 
56 
57 
58 

59 
60 

61 
62 

63 
64 
65 
66 

67 
63 

69 
70 

71 
72 
73 
74 
75 
76 
77 
78 

79 
80 

81 
82 

83 
84 

85 

86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 
97 
98 

99 

100 



years to make 4 per cent, and to get 
years' purchase of the clear annual 
i6| years' purchase. 



For Explanations and Examples see pp. xviii., xix. Tables continued on 
pp. XX. to xxix. 

(xxxi) 



I 



INTEKEST TABLES 



INTEREST TABLES 



The Present Value of the EEVEESION OF A PEEPETUITY after any given 

Term not exceeding 100 Tears 



After 


Years' 1 


11^.1 


Years 


Purchase 12^ %| 


I 


65-681 


65f 


2 


6471 1 


64I 


3 


63754 


63^ 


4 


62 812 


62f 


5 


61-884 


62 


6 


60-969 


61 


7 


60 -068 


60 


8 


59-181 


59i 


9 


58-306 


58i 


10 


57-444 


57h 


II 


56-596 


SH 


12 


55-759 


551 


13 


54-935 


55 


14 


54-123 


54 


15 


53-323 


53i 


16 


52-535 


52^ 


17 


51-759 


51^ 


18 


50-994 


51 


19 


50-241 


5oi 


20 


49-498 


49| 


21 


48767 


48I 


22 


48-046 


48 


23 


47-336 


47i 


24 


46-636 


46^ 


25 


45-947 


46 


26 


45-268 


45i 


27 


44-599 


44^ 


28 


43 940 


44 


29 


43-291 


43i 


30 


42-651 


42f 


31 


42-021 


42 


32 


41-400 


41^ 


33 


40-788 


401 


34 


40-185 


4oi 


35 


39-591 


39^ 


36 


39-006 


39 


37 


38-430 


^H 


38 


37-862 


37i 


39 


37-302 


37} 


40 


36-751 


36I 


41 


36-208 


3Sl 


42 


35-673 


43 


35-145 


35i 


44 


34-626 i 


34^ 


45 


34-114 


34 


46 


33-610 


33^ 


47 


33-113 


33 


48 


32-624 


32i 


49 


32-142 


3H 


50 


31-667 i 


31? 



Years' 1 3. 0/ 

Purchase ±4. /O 



56-160 
55-194 

54-245 
53-312 

52-395 

51-494 
50-608 

49-738 
48-882 
48-042 

47-215 
46-403 
45-605 
44-821 
44-050 

43-292 
42-548 
41-816 
41-097 
40-390 

39-695 
39-013 
38-342 
37-682 

37-034 

36-397 
35771 
35-156 
34-551 
33 957 

33-373 
32-799 

32-235 
31-680 

31-136 
30-600 
30-074 

29557 
29-048 
28-549 

28-058 

27-575 
27-101 
26 635 
26-177 
25-726 
25-284 
24-849 
24-422 
24-002 



49-020 
48-058 
47-116 
46-192 

45-287 

44-399 
43-528 
42-675 
41 838 
41-017 

40-213 

39-425 
38-652 

37-894 
37-151 
36422 
35-708 
35-008 
34-322 

33-649 
32-989 
32-342 
31-708 
31 086 

30477 
29-879 
29*293 
28-719 
28-156 
27-604 

27-062 
26-532 
26-011 

25-501 
25-001 

24-511 
24 03 1 

23-559 
23-097 
22645 

22-201 
21-765 
21-338 
20-920 
20-510 

20-io8 

19-713 
19-327 
18-948 

'!J76 

Examples.— The perpetuity of an annuity 0/ £1 
is worth in present money : At 1^ per cent., £54- 
at 2 per cent., £'37 -894 or 38 years' purchase. 

^ (zxxii) 



56i 
55i 
54i 
53? 
52^ 

51^ 

50^ 

49f 

49 

48 

47k 
4^ 
45i 
44f 
44 

43i 
42^ 

4if 

41 

40^ 

39? 

39 

3H 

37'i 

37 

36I 

35? 

35i 

34^ 

34 

33i 
32^ 
32i 
31^ 
3ii 
30A 
30 

29§ 

29 

28I 

28" 

27^ 

27 
26^ 

26i 

25f 
25i 
24f 

24^ 
24 



Years' Q 0/ 
Purchase a /O 



49 
48 
47 
46i 

45i 

445 

43h 

42| 

4if 

41 

4oi 

39^ 

38I 

38 

37i 

36^ 
351 
35 

33I 

33 

32i 

3if 

31 

30I 

30 
29} 

28f 

28J 
27^ 
27 

26| 

26 

25^ 

25 

24^ 
24 
23^ 
23 

22f 

22^ 

21} 

2I,i 

21 

20| 

20 

I9I 

I9i 

19 



Years' Ql 0/ 
Purchase ^4/0 



43466 
42-510 

41-575 
40 660 

39-765 

38890 

38034 

37-197 

36-379. 

35-578 

34-795 
34-030 
33281 

32-549 
31832 

31-132 

30-447 

29-777 
29-122 

28-481 

27-854 
27-241 

26-642 

26-055 

25-482 

24-921 

24-373 
23-837 
23-312 
22*799 

22-297 
21-807 
21*327 
20858 
20-399 

19-950 
19:511 
19081 
18-662 
18-251 

17-849 

17-457 
1 7 072 
16-697 
16-329 

15-970 
15-619 

15-275 
14-939 
14-610 



143^ 
42§ 

41^ 
4o| 

39| 

39 

38 

37i 

36k 

35^ 

34| 

34 

33r 

3i| 

31^ 
30I 
29I 
29 

28i 
27f 

27J 

26f 

26 

25^ 

25 

24i 
23f 

234^ 

22f 
22| 
2lf 

2li 
20| 
20| 

20 

I ^9 
i8| 
I 18^ 

I i7f 
! 171 

17 
i i6f 

i6i 
16 

iSh 
i5i 
15 



After 
Years 



I 
2 

3 

4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

% 

19 
20 

21 
22 

23 
24 
25 
26 

28 

29 
30 

31 
32 
33 
34 
35 
36 

37 
38 

39 
40 

41 

42 

43 
44 
45 
46 

47 
48 

49 
50 



per annum after 14 years 
123 or 54 years' purchase ; 



"iie P^es^^alie^he REVERSION OF A PEEPETUITY after any given 
The Preseni a ^^^ ^^^ exceeding 100 Years 



After 
Years 



I 

2 

3 
4 
5 
6 

7 
8 

9 
10 

II 
12 

13 
M 
15 
16 

17 
18 

19 
20 

21 
22 

23 
24 
25 
26 

27 
28 
29 
30 

31 
32 
33 
34 
35 
36 

37 
38 

39 
40 

41 
42 

43 
44 
45 
46 

47 
48 

49 
50 



Years' Olo/ 
Purchase ^2/0 



39-024 

38-073 
37-144 
36-238 

35-354 

34-492 

33-651 
32-830 

32-029 

31-248 

30-486 
29742 
29-017 
28-309 
27619 

26-945 
26-288 

25-647 

25-021 

24-411 

23-815 

23-235 
22-668 

22-115 

21-576 

2 1 -049 
20-536 
20-035 

19-546 
1 9 070 

18-605 
18-151 
17-708 
17-276 
16-855 

16-444 
16 043 

15-651 
15-270 

14-897 

14-534 
14-179 

13-834 
13-496 
13-167 

12-846 

12-533 
12-227 

1 1 -929 

11*638 



Years' 
Purchase 



219 



o 



39 
38 
371 
36I 

35i 

34l 

33f 

32I 

32 

31I 

301 

29f 

29 

28i 

275 
27 

26i 

25f 

25 
24^ 

23I 

23i 

22| 

22 

2li 

21 

20| 
20 

I9I 
19 

i8i 
I7f 

m 

i6f 

: 16" 

151 
i5i 

15 
1 I4I 

i4i 
i i3f 
I 13^ 

i3t 

I2f 

I2i 

I2i 

12 

III 



35-390 
34-443 
33-521 
32*624 

3175I 

30-901 

30-074 

29-269 

28-486 

27-724 

26-982 

26-259 

25-557 

24-873 
24-207 

23-559 
22-929 

22-315 

21-718 

21-136 

20-571 
20-020 
19-484 
18-963 

18-455 
17-961 
17-481 
17-013 

16-557 
16-II4 

15-683 
15263 

14-855 

14-457 
14-070 

13-694 
13.327 

12-971 
12-623 
12-286 

1 1 -957 
11-637 

1 1 -325 
1 1 -022 
10-727 

10*440 

IO-161 

9-889 

9-624 

9-366 



34^ 
335 

32I 

3i| 

31 
30 

29f 
28i 

27f 

27 
26I 

25I 

24f 
24t 

235 
23 

22} 

2lf 
2li 

20| 
20 

i9h 
19 

i8i 

18 

i7h 
17 
i6i 
16" 

i5f 

15} 
Hf 
14^ 
14 

i3f 
13.^ 
13 

I2i 
I2i 

12 

uf 

II 

lOf 

lOi 

loj 
10 

9h 
9\ 



Years' 
Piirchase 

32-362 
31-420 

30-505 
29-616 

28-754 

27-916 

27-103 

26-314 

25-547 
24-803 

24-081 

23-379 
22*697 
22-037 

21-395 
20-772 
20167 
19-580 
19*010 

18-456 
17-918 

17-396 
16-890 
16-398 
15-920 

15-456 
15-006 

14-569 

14-145 

13733 

13-333 

12-945 
12-568 

12-201 

1 1 -846 

11-501 
1 1 -166 
10-841 
10-525 
10-219 

9-921 
9-632 
9-351 

9-079 
8-815 

8-558 
8-309 
8-067 
7-832 
7-604 



3% 



Years' QIq/ 
Purchase O2 /«> 



^2^ 

3ih 

305 
295 

28f 

28 

27 
26} 

25^ 

24? 
24 

232 

22f 

22 

21^ 

20f 
20| 

I9I 
19 

i8i 

18 

17^ 
17 
16^ 
16*^ 

151 

15 

145 

^4\ 

13I 

i3i 

13 

I2i 

12.^ 
Ilf 

III 

"1 
I of 



10^ 

lol 

10 

9|' 
9\ 
9 
8f 

8| 

8i 
8 

71 

71 



27-605 
26-672 
25-770 
24-898 
24-056 

23-243 
22-457 
21-697 
20-964 
20-255 

19-570 
18-908 
18-269 

17-65' 
17-054 

16-477 
1 5 -920 

15-382 

14-862 

14-359 

13-873 
13-404 
12-951 

12-513 
12-090 

11-681 
1 1 -286 
10-904 
10-536 
10-179 

9-835 
9-503 
9181 

8-871 
8-571 
8281 
8-OOI 
7730 

7-469 
7*216 

6*972 

6737 

509 
289 
076 

5-871 
5-672 
5-480 

5-295 
5116 



27^ 

26f 

25? 

25 

24 

23t 

22| 
2l| 
21 
20] 

9| 

9 

8} 

71 

7 

6i- 

6 

51 
4| 

4\ 

3f 
3^ 
3 

2h 



If 



0% 

ol 

9| 
9^- 
9.^ 
8f 
8i 

8i 
8 

7f 
71 
7^ 

7 

6f 

6| 

6} 

6 

5f 
5f 
5^ 
51 
5 



Aftei 
Year!> 



I 

2 

3 
4 
5 
6 

7 
8 

9 
10 

II 
12 

13 
M 
15 
16 

17 
18 

19 
20 

21 
22 

23 
24 
25 
26 
27 
28 
29 
30 

31 
32 
33 

34 
35 

36 

37 
38 

39 

40 

41 
42 

43 
44 
45 
46 

47 
48 

49 
50 



For Explanations and Examples, see pp. xviii. 
on pp. xxxiv.-xxxix. 

(xxxiii) 



and xix. Tables continued 



INTEREST TABLES 



I 

I 



The Present Value of the REVERSION OF A PERPETUITY after any given 

Term not exceeding 100 Tears 




SI 

52 

S3 

, 54 

I 55 

56 

57 

I 58 

I 59 
! 60 

61 

i 62 

63 

64 

I 65 

66 
67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

77 
78 

79 
80 

85 
90 

95 
100 



31199 

30-738 
30-284 

29-836 
29-395 

28-961 

28-533 
28-111 

27-696 

27-286 

26-883 
26-486 
26-094 
25 709 

25-329 

24-955 
24-586 

24-222 
23-864 
23-512 

23-164 
22-822 
22-485 
22-152 
21-825 

21-503 
21-185 

20-872 
20-563 
20-259 

18806 

17-457 
16-204 

15-042 



3ii 
3of 
3oi 
29f 
29h 



29 

28§ 

28 

271 

27i 

27 

26i 

26' 

25.^ 

25i 
25 

24| 

24i 

23f 

235 
23k 

22f 
22§ 
22I 
2lf 

21^ 
21I 

20f 

20| 

2o| 

I8f 

i7t 

'>k 
15 



i6f 



Tears' T 3^ 
Purchase X4 



O/ 



^O 



23-589 
23-183 
22-784 
22-393 
22-007 

21-629 
21-257 
20-891 
20-532 
20-179 

19-832 
19-491 

19-156 
18-826 
18-502 

18-184 
17-871 

17-564 
17-262 
16-965 

16-673 
16-386 
16-105 
15-828 
15-555 

15-288 
15-025 
14-766 

14-513 
14-263 

13-078 
1 1 -991 
1 0995 
10-081 



I 23A 
! 23I 

22f 
22| 
22 

! 2lf 
2li 
21 
20i 
20i 

I9| 
i9h 
19 
i8f 

i8i 

I7f 
17^ 
i7i 
17 

i6f 
i6i 
16' 

^51 
151 

i5i 

15 

i4f 

14^ 

14] 

13 
12 

II 

10 



Years' O 0/ 
Purchase a yo 



18-212 

17-855 
17-505 
17-162 
16-825 

16-495 
16-172 

15-855 
15-544 
15-239 

14-940 
14-647 
14-360 
14-079 
13-803 

13-532 
13-267 
13006 
12-751 
12-501 

12-256 
12-0X6 

11-780 

11-549 
11-323 

II-IOI 

10-883 
10-670 
10-461 
10-255 

9-289 I 

8-413 
7-620 

6 902 



i8i 

i7f 

17^ 

17 k 
i6| 

i6i 

1 51 
15^ 

15 

I4f 

14} 

14 

I3f 

I3§ 
^3k 
13 

I2f 
I2i 



I2i 
12 

Hi 

Hi 

II 
II 
I of 

10^ 
loi 



9i 
8| 
71 



Years' 1 «/ 
Purchase £14 7^ 



14-289 

13-974 
13-667 

13-366 

13-072 

12-784 
12-503 
12-228 

11-959 
11-695 

11-438 
1 1 186 
10-940 
10-700 
10-464 

10-234 

10-009 

9-788 

9-573 
9-362 

9156 

8-955 
8-758 

8-565 

^•377 

8-192 

8-012 . 

7-836 j 

7663 j 

7*495 I 

6-706 ; 
6-000 
5-368 
4-803 



14.^ 

14 

13I 

13.^ 

13 

12f 

12^ 
I2I 
12 
Ilf 

II 

I of 
io§ 

10 
9l 
9h 
9k 

9k 
9 

8| 
8| 
8^ 

8.^ 
8 

7f 
7f 
7h 

6f 
6 

51 
4f 



After, 

I Years 



SI 

52 

53 
54 
55 

56 

59 
60 

61 
62 
63 

^ 
65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 



INTEREST TABLES 



79 
80 

85 
90 

95 
100 



The Present Value of the REVERSION OF A PERPETUITY after any given 

Term not exceeding 100 Years 



f 



After 



Years Purchase 



Examples. -The perpetuity of an annuity of £1 per annum after 65 years 
IS worth m present money: at i^ per cent. £18502, or 18^ years' purchase: 
at 2k per cent. £10-464, or io| years' purchase. 



51 
52 
53 
54 
55 

56 

57 
58 

59 
60 

61 
62 

65 

66 

$7 
68 

69 

70 

71 
72 

73 
74 

75 

76 

77 
78 

79 
80 

85 
90 

95 
zoo 



Years' 



«2i% 



11-354 


Hi 


1 1 -077 


II 


10-807 


lOf 


10-543 


loh 


10-286 


loi 


10-035 


10 


9-790 


94^ 


9-552 


9k 


9-319 


9k 


9-091 


9 


8-870 


8f 


8653 


8| 


8-442 


Sh 


8-236 


^ 


8-035 


8 


7-839 


71 


7-648 


7f 


7-462 


7^ 


7-280 


7k 


7-102 


7 



6-929 
6-760 

6-595 

6-434 

6-277 

6-124 

5-975 
5-829 
5687 
5-548 

4904 

4-334 
3-831 
3-386 



7 

6| 

6| 

6| 

6^ 

6 

6 

5f 

5! 
5^ 

5 

44^ 

31 
3k 



Years' Q^ 0/ 

Purchase C14. /o 



9'ii6 

8-872 

8-634 
8403 

8-178 

7-959 
7-746 

7-539 
7-337 
7-141 

6-950 
6-764 

6-583 
6-407 

6-235 

6-068 
5-906 
5-748 
5-594 
5-444 

5-299 

5-157 

5-019 
4-884 

4-754 
4-626 

4-503 
382 
265 

151 

624 
164 
2-763 
2-413 



9 

8f 
8f 

^ 

H 

8 

71 
7k 
7\ 
7k 



6| 
6h 
6k 
6} 

6 
6 

51 
5^ 
5k 

5\ 
5k 
5 
5 

4? 

4f 
4| 
4k 
4k 
4k 

3k 
3i 

2| 
2h 



Years' 
Purchase 



ae3 % 



7-382 
7-167 

6-958 
6756 

6-559 

6-368 
6-182 
6-002 
5-828 
5-658 

5-493 
5-333 
5-178 
5-027 
4-880 

4-738 
4-600 
4-466 

4-336 
4-210 

4-087 
3-968 

3-853 
3-740 
3-632 

3-526 
3-423 

3-233 
3-227 

3-133 
2-702 
2-331 
2-01 1 

1-734 



7h 

7k 

7 

6f 

6| 

6i 

6| 
6 

51 
5f 

5k 

5k 

5k 

5 

5 

4| 
4k 
4k 
4k 
4k 

4 

4 

3f 

3! 

3l 

3^ 
3.^ 
3i 
3k 
3k 



Years' 
Purchase 



:« 3i % 



2i 

2 

If 






4943 
4-776 

4-614 
4-458 
4-307 

4-162 

4-021 

3-885 

3-754 
3-627 

3-504 
3-386 
3-271 
3-160 

3-054 

2-950 
2-851 

2-754 
2-66i 
2-571 

2-484 
2-400 

2-319 
2-241 
2-165 

2-092 
2-021 
1-952 
1-886 
1-823 

1-535 

1-292 

I 088 

•916 



4^- 
4^ 
4k 
4k 

4k 
4 
4 
31 



3^- 
3k 
3\ 
3k 
3 



2^ 



23 
■^4 

2i 

2 

2i 

2i 
2 

2| 

2| 

2 I 



After 
Years 



51 
52 

53 
54 
55 

56 

57 
58 

59 
60 

61 
62 

63 

^ 
65 

66 

67 
68 

69 
70 

71 
72 

73 
74 
75 



2 


76 


2 


77 


2 


78 





79 


I'i 


80 


i| 


85 


14^ 


90 


I 


95 


I 


100 



PP xxxU ''xll'lfj*'^"^ *°'^ Examples, see pp. xviii. and xix. Tables continued on 
pp. &ZX11., xxxiii. and xxxvi.-xxxix. 



^ 



fxxxiv) 



(xxxv) 



INTEREST TABLES 



INTEREST TABLES 



) 



The Present Value of the REVERSION OF A PERPETUITY after 


any given 






Term not exceeding 100 Years 






After 
Years 


Years' JT 0/ 1 
Purchase \t /<> 


Years' A\o/ 
Purchase Tt2 /<^ 


Years' Co/ 
Purchase i/ /o 


Years' fi 0/ 
Purchase U /O 


After 
Years 


I 


24-038 


24 


21-265 


2li 


19-048 


19 


15-723 


"151 


I 


2 


23-114 


23 


20-350 


20| 


18-141 


18] 


14-833 


i4l 


2 


3 


22-225 


22^ 


19-473 I i9h 


17-277 


i7\ 


13-994 


14 


3 


4 


21-370 


2I| 


18-635 i i8| 


16-454 


m 


13-202 


13I 


4 


5 


20-548 


20^- 


17-832 I7f 


15-671 


151 


12-454 


I2h 


5 


6 


19758 


I9f 


1 7 -064 1 7 


14*924 


15 


11-749 


III 


6 


7 


18-998 


19 


16-330 


16] 


14-214 


14^ 


1 1 -084 


II 


7 


8 


18-267 


18] 


1 5 626 


i5f 


13*537 


13^ 


10-457 


lOi 


8 


9 


17-565 


in. 


14-953 


15 


12-892 


13 


9*865 


91 


9 


10 


16-889 


17 


14-310 j I4{ 


12*278 


12] 


9*307 


9\ 


10 


II 


16-240 


16; 


13-693 ! I3f 


1 1 -694 


iif 


8-780 


H 


II 


12 


15-615 


i5i 


13-104 13 


II-I37 


III 


8-283 


8| 


12 


13 


15-014 


15 


12-539 12^ 


10 -606 


IO| 


7*814 


71 


13 


14 


14-437 . i4j 1 


11-999 ' 12 


lO'IOI 


10 


7*372 


n 


14 


15 


13-882 


14 


11-483 i 1I2 


9-620 


9l 


6*954 


7 


15 


i6 


13-348 


nk 


10-988 


II 


9*162 


9k 


6-561 


6i 


16 


17 


12-834 


I2| 


10-515 


loi 


8-726 


H 


6-189 


6i 


17 


i8 


12-341 


I2i 


10-062 


10 


8-310 


8i 


5*839 


51 


18 


19 


1 1 -866 


Ilf 


9-629 9f 


7*915 


8 


5*509 


5* 


19 


20 


11-410 


in 


9-214 9i 


7*538 


7h 


5-197 


S\ 


20 


21 


10-971 


II 


8-8i8 


8f 


7-179 


n 


4-903 


5 


21 


22 


10-549 


10^ 


8-438 


8^ 


6-837 


6f 


4-625 


4f 


22 


23 


10-143 


lol 


8-074 


8 


6-511 6| 


4*363 


4i 


23 


24 


9-753 


9? 


7-727 


7f 


6-20I 


6i 


4-116 


4 


24 


25 


9-378 


9h 


7-394 


n 


5-906 


6 


3-883 


3f 


25 


26 


9-017 


9 


7-076 


7 


5*625 


51 


3*663 


3f 


26 


27 


8-670 


8f 


6-771 


6f 


5*357 


51 


3-456 


3i 


27 


28 


8-337 


84 


6-479 


eh 


5-102 


5 


3-261 


3i 


28 


29 


8-oi6 


8 


6'200 


6i 


4-859 


44 


3-076 


3 


29 


30 


7-708 


7l 


5-933 


6 


4-628 


4| 


2-902 


3 


30 


31 


7-412 


7h 


5-678 


51 


4-407 


4^ 


2-738 


2| 


31 


32 


7-126 


Ik 


5-433 


51 


4-197 


4| 


2-583 


2^- 
•^0 


32 


33 


6-852 


6| 


5-199 


5} 


3*997 


4 


2-436 


2I 


33 


34 


6-589 


^ 


4-975 


5 


3-807 


3f 


2 299 


2\ 


34 


35 


6-335 


6] 


4-761 4| 


3-626 


3f 


2-168 


2i 


35 


36 


6-092 


6 


4-556 45 


3*453 


3^ 


2-046 


2 


36 


37 


5-857 


5f 


4 360 


4| 


3-289 3i 


1-930 


2 




38 


5-632 


5f 


4-172 


4| 


3*132 : 3t 


I 821 


I^ 
*4 


38 


39 


5'4i6 


5* 


3-993 


4 


2-983 


3 


1-718 


l2 
*4 


39 


40 


5-207 


5i 


3-821 


3f 


2-841 i 2f 


I 620 


1 1 


40 


41 


5-007 


5 




3-656 


3f 


2-706 2f 


1-529 


T 1 


41 


42 


4-814 


4f 


3-499 


J 2 


2*577 


2^ 


1-442 


» 1 


42 


43 


4-629 


4f 


3-348 


3] 


2-454 


2\ 


1-360 


1 T 

*4 


43 


44 


4-451 


4i 


3-204 


3i 


2-337 


2i 


1-283 


T 1 


44 


45 


4-280 


44^ 


3-066 


3 


2-226 


2[ 


I -21 1 


T 1 

*4 


45 


46 


4-115 


4 


2-934 3 


2 -120 


2 


I 142 


1 1 
*4 


46 


47 


3*957 


4 


2-808 2^- 


2-019 


2 


1-078 




47 


48 


3-805 


31 


2-687 2f 


1-923 


2 


I 017 




48 


49 


3-659 


31 


2-571 2i 


1-831 


If 


-959 




49 


50 


3-518 


_3l 


2 -460 2| 


1-744 


l'\ 


-905 




50 


Ex 


AMPLES.— ^ 


['he pe 


ipetuity of an ar 


inuity of £1 per 


annum af 


ter 37 years 


is wor 


th in pres 


ent m 


oney : at 


4 per 


cent., .€5-^ 


>57, 01 


I- 5f years 


' pure 


base; 



The Present Value of the REVERSION OF A PERPETUITY after any given 


^ 






Term not exceeding 100 Years 




! 


After 
Years 


Years' TJ 0/ 
Purchase 1 /O 


Years' Q q/ 1 
Purchase O /o | 


Years' Q 0/ 
Purchase U /O 

10-194 j 10} 


Years' "I 

Purchase X 

9*091 


0% 


After 
Years 


I 


13*351 134 


11*574 


11^ 


9 


I 


2 


12-477 12^- 


10-717 


io| 


9-352 


94^ 


8-264 


81 


2 


3 


II -661 Hi 


9*923 


10 


8-580 , 


H 


7513 


7h 


3 


4 


10-898 II 


9-188 


9\ 


7-872 ^ 


71 


6-830 


6f 


4 


1 

5 


10-185 io| 


8-507 


H 


7*222 ; 


7i 


6-2IO ! 

1 


61 


5 


6 


9-519 9h 


7-877 


7f 


6-626 


5^ 


5-645 i 


51 


6 


7 


8-896 9 


7-294 


74^ 


6-078 


6 


5-132 1 


5i 


I 


8 


8-314 8^ 


6-753 


6f 


5-577 


51- 


4-665 1 


4f 


9 


7-770 7f 


6-253 


6| 


5II6 


5 


4-241 


4l 


9 


ID 


7-262 7t 


5-790 


5^- 


4-694 


4f 


3^855 ' 


31 


10 


II 


6-787 6f 


5-361 


51 


4-306 


4} 


3505 


3h 


II 


12 


6-343 6i^ 


4-964 1 5 


3*951 


4 


3-186 


31 


12 


13 


5-928 6 


4-596 i Ah 


3*625 


31 


2-897 


3 


13 


14 


5-540 5^ 


4-256 


4i- 


3*325 


3i 


2633 


2| 


14 


15 


5178 ; 54^ 


3-940 


4 


3*051 


3 


2-394 1 


2h 


15 


16 


4-839 , 4l 


3-649 




2-799 


'>a 
-'4 


2-176 


21 


16 


17 


4-522 Ah 


3-378 ; 3i 


2-568 


2h 


1-978 


2 


i^ 


18 


4-226 4t 


3-128 -3i 


2-356 


n 


1-799 


*■ V 


19 


3-950 4 


2 -896 3 


2161 


2{ 


1*635 i 


f ^ 

* 4 


19 


20 


3-691 3l 


2-682 2f 


1-983 


2 


1-486 




20 


21 


3-450 3^ 


2-483 2§ 


1-819 


T ^ 

*4 


1*351 


. 1 
* 1 


21 


22 


3-224 2>k 


2299 ; 2\ 


I 669 


T '•* 
*4 


1-229 


T I 

*4 


22 


23 


3*013 3 


2-129 


2t 


I -531 


T 1 

*2 


1-117 




23 


24 


2-8l6 2f 


1-971 


2 


1-405 


» 1 
*2 


1-015 




24 


25 


2-632 2i 


1-825 


If 


1-289 


T 1 


•920 




25 


26 


2-460 2\ 


1-690 


If 


1-182 


1 1 
*4 


•839 


3 
4 


26 


27 


2-299 2| 


1-565 


I5 


1-085 




-763 


3 
4 


27 


28 


2-148 2^ 


1-449 


ih 


1-005 




-693 


a 

4 


28 


29 


2 -008 2 


1*342 


H 


•913 




•630 


3 
4 


29 


30 


1-876 2 


1-242 1 III 


•838 


3 

4 


•573 


i 
«2 


30 


31 


1-754 If 


I -150 


n 


•769 


f 


•521 


1 
2 


31 


32 


I -639 I f 


I 065 


I 


•705 


4 


■474 


1 
2 


32 


33 


1*532 i| 


•986 


I 

1 


-647 


3 
4 


•431 


1 
2 


33 


34 


1-431 I'i 


913 ; I 


594 


^ 


-391 


1 
3 


34 


35 


1*338 li 


*845 f 


•545 


^ 


•356 


± 
3 


35 


36 


1-250 i| 


*783 i f 


•500 


2 


323 


* 


36 


37 


I -168 i^ 


*725 ! f 


*458 


2 


-294 


^ 


37 


38 


I 092 I 


*67i ; 1 


-421 


2 


•267 


- 1 

4 


38 


39 


I 021 i I 


-621 


f 


•386 




•243 


1 
4 


39 


40 


•954 I 


*575 


i ^ 


-354 


^ 


•221 


i 

5 


40 


41 


-891 


I 


•533 


i ? 


-325 


^ 


-201 


1 
5 


41 


42 


*833 


f 


•493 


2 


-298 


^ 


•183 


i. 
5 


42 


43 


-778 


8 
4 


*457 


' h 


-273 


4" 


-166 


i 


43 


44 


-728 


f 


•423 


h 


-251 


- 1 
4 


•151 


1 


44 


45 


•680 


f 


*392 


1 
2 


•230 


i 
4 


•137 


1 
7 


1 I 

45 


46 


-635 


s 

4 


*363 


1 • 


•211 


j ' 


-125 


i 


46 


^2 


*594 


h 


*336 


r 


-194 


' 1 


•113 


1 

y 


47 


48 


*555 


h 


-311 


i 


-178 


-103 


.1. 

1 n 


I ' 

48 


49 


519 


1. 
2 


•288 


1 ^ 


•163 


I 


-094 


1 
11 


49 


50 


*485 ^ 


•267 


! 1 
4 


•150 


7 


•085 


1 
12 


50 



at 5 per cent., ±'3-289, or 3J years' purchase 

(xxxvi) 



For Explanations and Examples, see pp. xviii. and xix. Tables continued on 
pp. xxxii.-xxxv. and xxxviii., xxxix. 

(xxxvii) 



INTEREST TABLES 



The Present Value of the BEVEESION OF A PEBPETUITY after any given 

Term not exceeding 100 Tears 



After 
Years 



51 
52 

53 

54 
55 

56 
57 
58 

60 

6c 
62 

63 

65 

66 

67 
68 

69 

70 

71 
72 

73 
74 
75 

76 

77 

7^ 

79 
Sol 

85 
90 

95 
100 



Tears' A ^/ 
Purchase % to 



3-383 

3-253 
3-128 
3007 
2-892 

2781 
2674 

2-571 
2-472 

2-377 

2-285 
2-197 
2-113 
2-031 

1-953 

1-878 
1-806 
1-736 
1-670 
1-605 

1-544 
1-484 
1-427 
1-372 
1-320 

, I -269 
I -220 

1-173 
I -128 

1-085 

-891 

-733 
-602 

-495 



3^ 

34^ 

3l- 

3 

3 

2^ 

2| 
2| 



2} 

2 

2 

2 



*4 
If 
If 



u 



If 

tJ 



If 

li 



2 

4 

a 
a 



Years' 
Purchase 



2-354 
2253 

2-156 

2-063 

1-974 

1-889 
I -808 
1-730 
1-655 
1-584 

1-516 

I -451 
I 388 

1-328 

1-271 

1-217 
I -164 
1-114 
1-066 
1-020 

•976 

•934 
•894 

-855 
-819 

-783 

-750 
-717 

•686 
-657 

-527 
-423 

-339 

-272 



4i% 



■'4 

2^ 
•^4 



2 
2 



i^r 
If 
If 

li- 

i| 

If 



*4 

I 
I 
I 



I 

I 

3 

4 

8 
4 

I 
8 

4 
S. 
4 
8 
4 
3 
4 

Jw 

2 

A 
2 

ll 



Years' c ^z 
Purchase U 75 



f 
h 

a 
k 
a 

a 

i 

4 
1 
7. 

'I 



Pu^^iLe 6 % 



'211 



After 
Years 



Examples. 



-.u^ — "'^^® perpetuity of an annuity of £1 per annum after 65 years 
IS worth in present money: at 4 percent., £1-953, or 2 years' purchase: 
at 4A per cent., £1-271, or i| years' purchase. 



INTEREST TABLES 



The Present Value of the SEVESSIOIT OF A FEBPETITITT after any given 

Term not exceed:ng 100 Tears 



After 
Years 



Years' 17 q. 
Purchase f /o 



•453 
-423 
-396 
•370 
-346 

-323 
•302 

•282 

•264 

•246 

-230 
-215 
-201 
•188 
-176 

•164 
-154 
-143 
-134 
-125 

•117 
•109 
-102 
-096 
•089 

•084 
-078 

•073 
-068 

-064 

•045 
-032 

-023 

•016 



2 

1 
2 
A 
2 
1 
3 
1 
3 

i 
3 
1 



4 
1 

4 
I 
4 

JL 

4 
1 



1 

6 

f5 
1 
6 

* 
1 

T 
l~ 
5 

1 
9 
1 
» 

_L 
10 
JL 
10 

1 

IX 

1 

12 
_l. 

13 

JL 

14 

1 

15 

JL 

16 

L 

22 
J_ 
31 

JL 

43 

1 

»2 



Years' Q ^/ 
Purchase O % 






•247 
•229 
•212 
•196 
•182 

•168 
•156 
-144 
-134 
•124 

-114 
•106 

-098 
-091 
-084 

•078 
•072 
-067 
-062 
-057 

•053 
•049 

-045 
•042 
•039 

•036 

-033 
-031 
-029 
•026 

•018 
•012 
•008 
•006 



Years'" 
Purchase 





-078 
•071 
•064 
-059 
-053 



1 

13 

1 
14 

1 
IB 

1 

IT 
JL 

19 



After 
Years 



-049 


* 


56 


044 


1 

23 


SZ 


-040 


1 
25 


5JB 


•037 


1 
27 


59 


-033 


1 

: 


60 


-030 


1 

33 


61 


•027 


3V 


62 


-025 1 


] 

40 


63 


-022 I 


1 
43 


64 


•020 1 

j 


1 
50 


65 


•019 1 


1 
53 


66 


-017 ' 


1 
59 


67 


■015 


1 
«7 


68 


-014 


A 


69 


•0.3 


1 


70 


-012 


^3 


71 


•010 


1 
100 


72 


•010 


Too 


73 


•009 


1 

111 


74 1 


•008 


1 

125 


75 1 


•007 


1 

143 


76 


•006 


1 
T«7 


77 


-006 


1 


78 


•005 


1 
200 


79 


-005 


1 
200 


80 ' 


•003 


_1_ 
333 


85 


-002 


1 

500 


yo 


001 


1 

1000 


95 


•001 


1 non 


100 ' 



For Explanations and Examples, see pp. xviii. and xix. 
pp. xxxii.-xxxvii. 



Tables continued on 



(xxxviii) 



(xxxix) 



INTEBEST TABLES 



15"/< 



Years 



PilESENT VALUE OF 



I 
2 

3 

4 

5 

6 

7 
8 

9 

10 

II 

12 

13 
14 
15 

i6 

17 
i8 

19 

20 

21 
22 

23 

24 

25 

26 

27 
28 

29 

30 

31 
32 

33 

34 
35 

36 
37 
38 

39 
40 

41 
42 
43 
44 
45 

46 

47 
48 

49 
50 



One Poand £X per Annum 



J 



Years 



•8695652 

7561437 
•6575162 

•5717532 
•4971767 

•4323276 

•3759370 
•3269018 
•2842624 
•2471847 

•2149432 
•1869072 
•1625280 
•I413287 
•1228945 

•1068648 
•0929259 
•0808051 
•0702653 
•061 1003 

•0531307 
•0462006 
•0401744 

•0349343 
•0303776 

•0264153 
•0229699 
•0199738 
•0173685 
•OI51031 

•0131331 
■01 1 420 1 

•0099305 

•0086352 

•0075089 

•0065295 
•0056778 
•0049372 
•0042932 
•0037332 

•0032463 
•0028229 
•0024547 
■002 1 345 
•OOI8561 

•OOI6140 
•0014035 
•0012204 
•OOI0612 
0009228 



•8695652 

1 -6257089 
2'283225I 

2 •8549784 
3-3521551 

3^7844827 

4^i6o4i97 

4-4873215 
4-7715839 
5-0187686 

5-2337118 
5-4206190 

5 •5831 470 
5-7244756 
5-8473701 

5^9542349 
6-0471608 

6^1279659 

6^i9823i2 

6^2593315 

6-3124622 
6^3586627 
6^3988372 

6^4337714 
6^464 1 49 1 

6-4905644 

6^5i35343 
6^5335081 
6-5508766 
6^5659796 

6^5791127 
6^5905328 
6 •6004633 
6 ^6090985 
6-6166074 

6-6231369 
6-6288147 

6^6337519 
6-6380451 

6-6417784 

6-6450247 
6-6478475 
6^6503022 
6-6524367 
6-6542928 

6-6559068 
6-6573102 
6-6585306 
6-6595919 
6-6605147 



51 
52 

53 
54 
55 

56 

57 
58 

60 

61 
62 

63 
64 

65 

66 
67 
68 

69 
70 

71 
72 

73 
74 
75 

76 

77 
78 

79 
80 

81 
82 

83 

84 
85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 

97 
98 

99 
100 



PRESENT VALUE OF 



One Pound i £1 per Annum 



-0008024 
•0006978 
•0006068 
•0005276 
•0004588 

•0003990 
•0003469 
-0003017 
-0002623 
•0002281 

•0001983 
•0001725 
•0001500 
•0001304 
•0001 134 

•0000986 
•0000858 
•0000746 
•0000648 
•0000564 

•0000490 
•0000426 
•0000371 
-0000322 
-0000280 

-0000244 
-0000212 
•0000184 
•0000160 
•0000139 

-C000121 
•0000105 
•0000092 
•0000080 
•0000069 

•0000060 
0000052 
•0000046 
•0000040 
•0000034 

•0000030 
•0000026 
•0000023 
-0000020 
•0000017 

•0000015 
•0000013 
•000001 1 
•oooooio 
•0000009 



6-66I3I7I 
6-6620x49 
6-6626216 
6-6631492 
6-6636080 

6-6640070 

6^6643539 

6-6646556 
6-6649179 
6-6651460 

6-6653443 
6-6655168 
6-6656668 

6-6657972 
6-6659106 

6-6660092 
6 -6660950 
6-6661696 
6-6662344 
6-6662908 

6-6663398 
6-6663824 
6-6664195 
6-6664518 
6-6664798 

6 -6665042 
6-6665254 
6-6665438 
6-6665598 
6-6665738 

6-6665859 
6-6665964 
6 -6666056 
6-6666135 
6-6666205 

6-6666265 
6 -66663 1 7 
6-6666363 
6 -6666403 
6-6666437 

6 -6666467 
6 -6666493 ' 
6-6666516 
6-6666535 
6-6666552 

6 6666567 
6-6666580 
6-6666592 
6-6666601 
6 -66666 10 



Tor explanation see pp. xviii, 10, 12 

(xl) 



INTRODUCTION 



■«o«- 



ON THE NATURE AND USE OF DECIMALS 

In order to render the following tables intelligible to persons onlv 
moderate y acquainted with common arithmetic it ma^^weU to 

fr,.?"' entire system of numbering (if for the moment we leave 
tas out of consideration) is. in fact, the </.^wTi"Im Jh^h 

next so many Aun^re^s^^ so ;f Thk ./m/" """"^ ""'• "^" 
which every advance t^ds the left « ve to . r^'^ "' "'"' 
called the ^,««,«/ system of nout^on ^ "^'^ '^ P'^P^^'^ 

principle as numbed tZ Ire more S °" ^"^"'^^ '^' ''^"'^ 

placed to indicate whTt ZJZ """^' ^ '^«=''^' <J«' ^i"S 

numbers are le^ than u^it" wrerh""' """'' *''" ""'^^ ^"^ -"al 
greater or less than unity t'he Tue o7a"fi '" "''''"^ "'"' """"^^= 
as the value of the same fil,frJ > a ^"""^ " '^" ''"^^ «=> ""^^h 

s.de and one tenth rmuc'f "a tS^alurof 1' °" '^^ '''''''"' 

^'le value of the same figure placed 



IxNTRODUCTION 

next to it on the left-hand side. It is, therefore, just as simple to 
deal with decimals as it is to deal with whole numbers. 

If we see a number, such as 346, without any decimal dot we 
understand, as explained above, that the 6 stands for six ones, but if 
between the four and the six we place a decimal dot, 34-6, we then 
know that the four no longer stands for four tens, but for four ones, 
and the 6 no longer stands for six ones, but for six tenths of one. 
So if we write 3-46 the 3 no longer stands for three hundreds, but for 
three ones, the 4 iox four tenths of one, and the 6 for six hundredths 
of one. The decimal dot, therefore, is simply employed to tell us 
where the ones come, for the figure immediately to the left of the 
decimal dot always stands for so many ones. If these uniform grada- 
tions by tens and tenths are kept in mind no difficulty will arise in 
dealing with the decimals. 

Decimals and Fractions 

From this it will be seen that any decimal may be converted into 
its equivalent fraction at once :• we have only to write the decimal, 
removing the dot, for numerator, and to write for denominator i 
followed by as many cyphers as there are figures, or places, in the 
decimal. Thus : 



06=1 ; -06= ^- ; 

10 100 



•006 = 



1000 



42 

42 , 

100 



•423=^ -^ » 
1000 



and so on. * 

Every fraction too of which the denominator i is followed by 
cyphers may just as readily be written as a decimal, thus 



A =3 
10 



^- =-07 
100 



9 ='009 



1000 



^463=24-63, &c. 
100 



We have only to write down the numerator and to point off from the 
right as many decimal places as there are cyphers in the denominator, 
supplying this necessary number of places by cyphers immediately 
after the decimal point, should the number of figures in the nume- 
rator be too few. 

Fractions, whatever be their denominators, may also be converted 

into decimals, as will be seen presently. 

Addition of Decimals 

From what has been already said it will be seen that the important 
thing in the addition of decimals is to take care that the decimal 
dots all come under one another, just as in the addition of whole 



USE OF DECIMALS 

numbers the units have to come under the units, the tens under 
the tens, and so on. If this point is attended to the matter is 
perfectly simple, and is conducted exactly like simple addition. A 
few examples are given below : — 

1. Add together 2*345, -64, 237, -02. 

2. 7*432, i6'207, -021, '4628. 

3. -005, 61-4, -368, 7*2. 

(0 (2) (3) 

2345 7*432 -005 

•64 16*207 61 4 

237 -021 -368 

•02 -4628 7-2 



26*705 



24*1228 



68*973 



Subtraction of Decimals 

In subtracting decimals, as in adding them, the important thing 
is to see that the decimal dots come under one another, and if this 
is done the subtraction of decimals is carried out in exactly the 
same way as simple subtraction. A few examples of subtraction are 
also given : — 

1. Subtract 3*725 from 5*103. 

2. 27*846 from 31-3. 

3. '026 from 12*4. • . 



(0 


(2) 


(3) 


5*103 


31*3 


12*4 


3*725 


27*846 


•026 



1*378 



3*454 



12*374 



* In the third example of addition two cyphers appear immediately 
to the right of the decimal dot. These o's serve to indicate the 
position, and therefore the value, of the figure to the right of them • 
thus ^005 indicates that there are no tenths nor hundredths, and that 
the five stands for five thousandths ; and similarly in the third 
example of subtraction -026 indicates that there are no tenths, but 
that the 2 stands for two hundredths and the 6 for six thousandths. 

Multiplication of Decimals 

deciLt" l^^^ t"^"^^ ^''" '""" '^^' ^" "^"^^^P^y ^ "™ber involving 
decimals by 10 by simply removing the decimal point one place to 

(3) a 3 



I, jn -j.i-,j^^ ^e^gww 







1157-281 



INTRODUCTION 

the right ; we multiply by 100 by removing the point two places to 
the right, and so on. Thus : 

•6 X 10=6 ; -6 X 100=60 ; -006 x ioo=*6. 
•42 x io=4*2 ; 42 X 100=42 ; 4*2 x 100=420. 

In order to multiply a number containing decimals by any whole 
number-that is, by any number without decimals-we proceed 
exactly as we should do if there were no decimals at all ; only when 
the product is obtained we must point off, as decimals, as many 
places as there are places pointed off in the number 24*623 
multiplied. Thus, if we have to multiply 24-623 by 47, 
we proceed as in the margin, and so in all similar 
cases. As the number multiplied has three decimal 
places, we mark off three places of decimals in the pro- 
duct. . 1 u u • 

If we have to multiply together two numbers which both contam 

decimals we proceed as in simple multiplication, and place the 
decimal dot in the answer in such a position that the number of 
decimals is the same in the answer as in the two numbers when 
their decimal places are added together. Thus : 

i-2Xi-i = i*32 ; -12 x*i2=-oi44; 
•222x3-1 =-6882; -o33X-22=-oo726. 

Division of Decimals 

In dividing a number containing decimals by a whole number 
we place the decimal dot in the quotient as soon as we bring down 
a decimal of the dividend. Thus to divide 2 7 344 by 4 we proceed 

as follows : — 

4 )2 7 '344 
6-836* 

After dividing 27 by 4 we come to the decimal -3, and so the 

deci^mal dot had to be placed between the 6 and 8 of the quotient. 

If we have to divide by a number that will not go into the 

decimal part of the dividend we must be careful to record the fact 

by putting a cypher in the quotient. 

Thus -372-f-4 gives 

4)172 
•093 



and 0372 ^4 gives 



4)^0372 
•0093 
(4) 



USE OF DECIMALS 

The values of the 9 and the 3 depend on ihQu position, and they 
must be put in their right place by prefixing cyphers to the left of 
them if necessary. Placing cyphers to the right of a decimal dot alters 
the value of the number. Placing cyphers to the right of a decimal 
number with no other number after the cyphers makes no difference 
in its value. With whole numbers it is just the opposite of this. 
Thus: 



.73=_73_. .073-- 73_. .0073 = ^-11- 
100 1000 I 0000 



; -730= ^^^ or ^ \ 
1000 100 



These facts have to be borne in mmd in the division of decimals. 
We may add as many cyphers as we please to the right of a decimal 
number, and so carry our division as far as we choose. Thus 43 h- 7 
may just as well be called 4*30000 -J- 7- It makes no difference in the 
value, but there is no need to actually write the cyphers in working 
out the sum. We may put 

7)4^3000000 ^^ 7)4^3 

•6142857 -6142857* 

and the result is the same. The benefit of proceeding in this way 
is that we may get an answer that is more nearly correct than if we 
left off at the last figure of the dividend. Thus the result of 43 -f- 7 is 

approximately — , more nearly ^' , still more nearly -^-^, and so 



10 



100 



on. 



1000 



If both the divisor and the dividend contain decimals there must 
be as many decimal places in the divisor and quotient together as 
there are in the dividend. This is obvious from what has been 
said in regard to multiplication. It was there shown that 
•222 X3-i=-6882, and so if we have to divide 6882 by 222 we have 

•222)-6882(3-I 

666 



222 
222 



There are three decimal places in the divisor -2 2 2, and four in the 
dividend 6882, so there must be one in the quotient 3-1 to add to 
the three in the divisor to make up the four in the dividend. 

In applying this rule it must be borne in mind that the number 
of decimal places in the dividend means the number actually used 
in division, and the number of cyphers added to it ranks as decimal 
may'see. ^'^^^'^'^^'^r^ ^' 37*38 or 37*387 or 37*3875, as we 

(5) 



X ^ 



INTRODUCTION 
•24)8-97300o(37*3S75 

177 
168 

93 

72 

210 
192 

180 
168 

120 
120 

There are one, or two, or three, or four places of decimals in the 
answer, depending upon the extent to which we carry the division. 

Obviously the answer cannot sometimes be 373 I i.e. 37 A j, some- 
times 373 (i.e. 3^^ , and so on : it must always be 37 and a little 

more. Hence the number of decimal places used in the dividend 
have to be noted, and the number in the quotient added to those 
in the divisor must make up the number used in the dividend. 
Some examples of division are appended. 

(i) 44-406-M2 (2) 44-406-T--I2 
12) 44-406 •12) 44-4060 

37005 370*05 



(3) •44406-^1-2 
i*2)-444o6o 



•37005 



!il 



(4) 89-648^347-3 

347"3)^9*^4^ooooo(-258i284 
6946 

20188 

17365 

28230 

27784 

4460 

3473 

9870 
6946 

29240 
27784 

14560 

13892 

668 

(6) "" 



USE OF DECIMALS 

For most of the purposes for which the tables in this book are 
likely to be used four or five places of decimals is amply sufficient, 
and it is unnecessary to carry the calculations any further. 

Fractions and Decimals 

We have already shown how readily decimals may be converted 
into fractions, and we must now show how fractions may be converted 
into decimals. We saw that a decimal may be thought of as a 
fraction with the decimal as numerator, and for denominator i 
followed by as many cyphers as there are decimal places in the 

I 2 '2 

decimal. Thus -i = — ; -23 = ^^, and so on. Now it is obvious 

10 100 

we do not alter the value of any fraction if we multiply both the 

numerator and denominator by the same quantity. Thus 

-=- = „=—; = — , and so on. All these fractions are of the same 
2 4 8 16 32 

value. 

If, therefore, we multiply the denominator by a quantity that 
makes it equal to 10 or 100, or any other multiple of 10, and then 
multiply the numerator by the same quantity as we multiplied the 
denominator by, we at once get a fraction that can be converted into 
a decimal at sight. 

Thus I _- 5 

ID 



= h =5 



I _ 25 _ . 

4 100 

2 _ j^ 

5"~io "" "^ 

It is often, however, a clumsy way of working to divide 10 or 
some power of lo by the denominator, and then multiply the 
numerator by the result. To do so may involve a long multiplica- 
tion sum. We therefore multiply the numerator by i followed by 
any number of cyphers we want and divide by the denominator. In 
other words, we divide the numerator by the denominator. Thus in 

converting - into a decimal it makes no difference in the result 

whether we have ^^'°±5^2 xj^£^ ^^ whether we have 

5Xio-r5 5x2 10 

2-0 

— =-4. 
5 

But it makes a great deal of difference in the working whether in 
converting, say, ^—-^ into a decimal we first divide i by 3736 and 

(7) 



1 



INTRODUCTION 

multiply the result by 1868, or whether we divide 1868 by 3736 and 
get '5 as our answer at once. 

A few examples of converting fractions into decimals are 

appended. 



2-5^ 4 



•25; ^ = 75; ^ = *>25i I 
403 



•i • =-6 



These are useful fractions of which to know the corresponding 
decimals. A recurring decimal is marked with a dot above it, and 
means that it is repeated continuously. Where a group of several 
figures recurs it is marked with a dot over the first and last of the 

group. Thus ' — "33333 and as many more threes as we care to 
3 

write. It is shortly expressed as '3. If we wish to convert into 

a decimal, we have 

7)1 

•142857, 

which means that at this stage there is i over, and the numbers 
142857 would be repeated indefinitely if the division were con- 
tinued for an indefinitely long time. Other examples are : — 



4^ = 4375; 7,^^ = 7-5625; ^^=809523; :;^ = *o375335 + 






9 _ 
16 



i7_ 
21 



INTEREST TABLES 



On pp. xx-xl and 50-124 Interest Tables of various kinds are 
given. Their construction and use is here explained, in order to 
facilitate their employment, and to make it possible for those 
unfamiliar with the subject to perform calculations at other rates and 
for other periods than those given in the table. 

Unless otherwise stated the tables throughout the book are 
calculated at compound interest, not at simple interest. Compound 
interest, of course, means that the interest as it becomes due is 
added to the original debt, and the interest for subsequent periods 
is calculated on the original debt increased by all the previous 
accumulations of interest. 

The Amount of ;£i 

On pp. 50-85 are tables which show for various rates of 
interest — 

(i) The sum which ^i will amount to in any number of years 
from I to 100. 

(8) 



THE AMOUNT OF £t 

(2) The present value of ^i due at the end of any number of 
years from i to 100. 

(3) The sum to which j£i per annum will amount in any 
number of years from i to 100. 

(4) The present value of ;£^i per annum to be received for any 
number of years. 

We will consider these in the order stated, taking our illus- 
trations principally from the 4 % table on pp. 70 and 71. It 
will be convenient to give the explanations by quite simple algebra 
first, and then to give the arithmetical explanations or numerical 
examples. 

If by / we represent the rate of interest, it is clear that one pound, 
or one dollar, or any other unit, will amount in one year to i -H / ; 
and if we represent the amount by s, we have s =• i +/'. If the rate 
of interest is 4%, or 4 on one hundred, it is '04 on a unit and 
!-(-/= 1*04. 

At the beginning of the second year, if the interest has not been 
paid, the loan or investment, s, is i -f- /, = i '04, and the interest on 
this is / (i +/), = 1*04 X '04 = -0416. To find the amount at the end 
of the second year we must add the second year's interest to the 
amount at the beginning of the second year. Thus we have ( i + /) 
4- i(i 4- /) = (i 4- X (1 4- /) = (i 4- i)\ or 1*04 4- ('04 x 1-04) 
= I '04 4- '0416 = I -0816 = 1*04 X 1-04 = 1*04^ 

We begin the third year with s = (i 4-/)(i4-0» ^^^ the interest 
for the third year is this amount multiplied by / = /(i +/)(i +/), 
and, adding this to the amount at the beginning of the third year, we 
have(i + /)(i -H /)(i 4- /) = (i 4- /)^ = 10816 -f- (04 x 10816) 
= i'o8i6 4- '043264= 1*124864 = 1*04^ 

Thus the amount of one in any number of years, «, is the 
amount of one in one year raised to the «'* power. This is expressed 
as (i4-/)% and, if / = *o4, then {i ■\- i)" = i'o^\ If « = 5 this is 
I '04 '\ This may be seen below. • 



Year 
I 

2 

3 

4 
5 



Amount at Beginning 

of Year Process Amount at End of Year 

I X I "04 = I -04 = I -04 

104 X 104=: 1042= I 0816 

I 0816 X 1-04= I •04'' =1-1 24864 

II24864 X 104= 1-04^ = 1-16985856 
1-16985856 X 1-04= 104'*= 1-2166529024 



This tells us the amount of i, and, if we want to know what any 
other sum comes to, we must multiply the sum by the amount of i. 
What is the amount of j^iy in five years at 4 % ? 

(9) 



r 



; I 



INTRODUCTION 

The amount of ^ I is 1-21665 

The amount of 17 

is therefore ;^2o*68305 

We might get this result more exact by using more places of 
decimals. Thus, 1-2166529024 x 17 = 20-6830993408, which is 
•0000493408 more than we previously had. The difference is less 

than — ^ — - of /?i, which is — ^ of a shilling, or almost - of a 
I 00000 1000 20 

farthing. This shows that five places of decimals, as given in the 

tables, give results quite near enough for most purposes. 

It is explained later on (pp. 206-228) how easily a table of this 
kind can be constructed by means of logarithms the practical use 
of which is extremely simple, and if other rates of interest than those 
tabulated are needed they should be obtained by logarithms. 

It should be noted that the table gives the amount of one pound 
at the end of the year, i.e. just after the year's interest has been added. 
The amount at the beginning of any year is the same as the amount 
at the end of the preceding year. Before explaining some of the 
uses of these tables it will be best to explain the contents of the 
other columns on these pages. 

We at present assume that the interest is reckoned annually, but 
later on we shall consider the case of interest convertible half-yearly 
and at other intervals. 

The Present Value of ;£i 

If, as we have seen, £^\ amounts to ^1*04 in one year the 
present value of this ^i'04 is obviously £^\. In other words, 
£^\ invested now at 4% will amount to ^^104 in one year. 
But if the present value of ^^1-04=1 the present value of 

I = -^— , and using v to represent the present value of i one year 
1-04 

hence we have v=. ., and 2/"=— - .. , where, as before, n 

represents the term. If /= -04 and « = 5 we have 

I I 



z;-^ = 



(1+/)* 1*21665 
Whatever the term may be 



= -82193. 



«' = 



i + / = 



1+/ 
I 



V 



(10) 



THE AMOUNT OF £,\ PER ANNUM 



Thus to take 10 years at 4 % 



1+/ 



= 67556 
I 



1*48024 

1-48024= 

•67556 

1*48024 X "67556 = 



=-v 



_ I 

V 

•99999 



By calculating the values of / and v to more places of decimals 
we may obtain as close an approximation as we please to i by 
multiplying v\yj (i + i). 

To find the present value of any other sum than i we multiply 
the sum by the present value of i for the number of years required. 
Thus, the present value of ^^83 due at the end of 10 years at 4 % is 
•67556 X 83 =;i^56-o7 148. It will be noticed that the table of 
present values, like the table of amounts, refers to the end of the 
year. See also pp. xviii, 218 

The Amount of ;£i per Annum 

« 

The third table on each page gives the amount of /^i per annum 
immediately after each annual payment is made. Thus the first 
line is in all cases i -00000. This table may be found from the 
amount o^ £_A by a series of additions. Thus at 4 %, if to the initial 
payment of ;^i we add 1*04000, the amount of ;£i in one year, we 
obtain 2*04000, which is the amount of ;^i per annum immediately 
after the second annual payment has been made. If to this amount 
we add 1*08160, the amount of ;^i at the end of the second year, 
we obtain ^^3-12160, the amount of ;£"! per annum immediately after 
the third annual payment has been made. 

We can, however, obtain the result in another way. The amount 
of ;£i in five years at 4 % is 1-2 1665, of which amount i was the 
original payment and 2 1665 the accumulated interest. Now ^i yields 
•04 every year at interest at 4 %, therefore the amount of 04 per 
annum for 5 years is -21665. ^^t if -04 per annum amounts to 
*2i665 i" 5 years 'oi per annum will amount to one fourth of this 
sum, which is -054163, and i amounts to 100 times this sum, which is 
5*41632, which we see to be the amount of £^\ per annum in 5 years. 
Hence it follows that we can obtain the amount of £^\ per annum by 
subtracting unity from the amount of ;^i and dividing the result by 
the rate of interest. Hence we get the following expression : 

Sn. -. , 

where s-\ is the amount of £,\ per annum in n years, / is the rate of 
interest, and (i + /)" is the amount of ^^i in n years. 

(II) 



f 



INTRODUCTION 

To find the amount of any other sum for any number of years 
we take from the table the amount of;£"i per annum at the rate of 
interest and for the number of years required, and multiply this 
amount by the sum with which we have to deal. Thus the amount 
of ;6'75 per annum for 30 years at 4 % = ^56-08494 (p. 70) x 75 
= ;£^42o6*57o5. For further details see p. 224. 

The Present Value of £1 per Annum 

By similar reasoning we see that the present value of £1 per 
annum may be obtained from the present value of £1 — that is to say, 
by a series of additions the present value of ;^i per annum can be 
obtained from the present value of ;^i. It may also be obtained by 
a second method similar to the second method of finding the amount 
of ;£i per annum from the amount of ;^i. Thus the present value 
of j^i at the end of 10 years is '67556, and the difference between 
this amount and unity is '32444, which is the present value of '04 per 
annum for 10 years. The value of 'oi per annum is one fourth of 
this amoujit, which is '08111. The present value of i per annum is 
100 times this amount, viz. 8-iii, which is seen (p. 70) to be the 
present value of ;£"! per annum for 10 years at 4 %. 

It will be noticed that the present value of £1 per annum for 
10 years is stated to be 8'i 1090, not 8'i 1 1. This slight discrepancy is 
due to the fact that the present value of £1 is only given to five 
places of decimals. If we calculate the present value of ;£"! due at 
the end of 10 years at 4 % to six places of decimals instead of five 
we find that it comes to '675564. Subtracting this amount from 
unity we obtain '324436, which divided by 4 and multiplied by 100 
.gives us 8*1 1090 as the present value of £1 per annum for 10 years, 
which is in accordance with the table. 

This relation between the present value of ^^i and £1 per 
annum may be expressed by the formula 



i—v" 



^H\ = 



■ n\ 



where a„ is the present value of ;^i per annum for n years, v" is the 
present value of i due at the end of n years, and / is the rate of 
interest. 

A knowledge of the methods by which the tables are constructed 
greatly facilitates their use. Hence in all cases we first describe the 
construction of the tables arid then give some account of the purposes 
to which they may be applied. See also pp. xviii, 222. 

The table giving the present value of ;£"! per annum is applicable 
to many different purposes. Thus if we want to know the present 
value of an annuity, or pension for a definite number of years — the 

(12) 



PRESENT VALUE OF A PERPETUITY 

value, that is to say, of what is called an * annuity certain,' or the 
value of a lease, or of any other property yielding a fixed and certain 
yearly income, we can readily obtain it from this table. Thus a 
lease, or annuity, yielding £1 per annum, with 25 years to run, if 
purchased for ;^i 5*62208, would yield the purchaser 4% on his 
money and replace the capital by the end of 25 years. If the annuity 
were ^10 a year its value would be ten times as much ; if ^^20 a 
year, twenty times as much, and so on. 

We sometimes want to know what rate of interest will be yielded 
by purchasing an annuity for a given amount at a certain price, 
which may not be exactly any rate of interest that is here tabulated. 
In order to ascertain this we must see what an annuity of £1 per 
annum would cost at the same price, and then turning to tables at 
various rates we shall be able to see approximately what rate the 
investment would yield. Thus, if we buy an annuity of £^0 a year, 
for 20 years, for ;;^45o we see that an annuity of ;^i per annum at 
the same price would cost £1$- A reference to the tables on pp. 
64 and 66 shows that this is less than we should pay to yield 2 J % 
on the investment, and more than we should pay to yield interest at 
3%; but the return would be more nearly 3 % than 2f % being, in fact, 
a trifle over 2|%. It is sometimes convenient to be able to see the 
results at different rates of interest in this way ; consequently on pp. 
86-93 abbreviated tables showing the amount and present value of 
;£i and of ;^i per annum are printed. These are only extracts 
from the tables on pp. 50-85 arranged in a different form with a few 
other rates of interest added. 

The Present Value of a Perpetuity 

On p. 94 is given the present value of a perpetuity of ;^i per 
annum for every ^% up to 10%. These results are obtained by 
dividing 100 by the rate of interest. From this table the value of 
freehold property, advowsons, &c., can be obtained, it of course 
being necessary to ascertain the net annual value of the property on 
which to base the price to be paid for it. Thus a freehold yielding 
;^8o per annum, after deduction of all expenses connected with it, 
would yield 4 %, if purchased for;^2,ooo, for 25 x 80 = 2,000. If 
the same property were purchased for ;^ 1,800, which is at the rate 
of ;^22 los. (for 1,800 H-80 = 22-5) for each £1 per annum, the yield 
upon the capital invested would be between 4| and 4^ %. 

Present Value of Reversions 

On pp. xxxii-xxxix and 95-98 is given the present value of a Rever- 
sion to a Perpetuity of ;^i. On p. 94 we have the present value of a 

(13) 



1 






INTRODUCTION 

perpetuity to be entered upon immediately, and on pp. xx-xxxi and 
50-85 we have the present value of an annuity for any number of years 
from I to 100. By subtracting the present value of an annuity for a 
certain number of years from the present value of a perpetuity we 
obtain the present value of a perpetuity deferred for that certain 
number of years. Thus we see that the present value of a perpetuity 
of ;^i per annum at 4% is £2$ (p. 94). The present value of an 
annuity of £1 per annum for 20 years at 4% is ;^i 3*59033 (p. 70). 
Deducting this amount from ;£^25, we have ;^i 1*40967 as the 
present value of the Reversion after 20 years of a Perpetuity of ;£"!, 
which is the amount given on p. 98. The present value of a per- 
petuity of any other amount than ;^i is obtained by multiplying 
the value of a perpetuity of £1 by the amount of the perpetuity 
the value of which it is desired to obtain. 

Commutation of Fines for Renewing Estates 

Estates held in perpetuity are sometimes subject to a renewal 
fine to be paid by the holder at regular specified intervals. These 
periodical fines may be compounded for by a single payment down. 
The first table on p. 99 shows what this payment ought to be, 
so that the holder of the estate may redeem all these continually 
recurring fines and at the same time be allowed such interest upon 
the money thus paid in advance as may be agreed upon. Thus if 
the renewal fine is payable every 7 years for ever then the redemp- 
tion money to bear 5 % interest is found by the table to be 2*4564. 
This means that ;^2*4564 must be paid to redeem a fine of ;^i pay- 
able every 7 years. To redeem a fine that is equivalent to one 
year's rent a sum equal to 2*4564 times the annual rent must be paid. 
It is obvious that the redemption money must be that sum the 
interest upon which, if allowed to accumulate at compound interest 
at the rate agreed upon for the period between the fines, will just 
suffice to pay the fine. A reference to p. 74 shows that the amount 
of ;^i for seven years is ;^i*407io. Deducting from this amount 
the original £1 invested, we see that the interest on ;£"! invested 
for 7 years is ;;^*407io. If now we multiply *407io by 2*4564, the 
amount required to redeem a fine of £1 payable every 7 years, 
reckoning interest at 5 %, we have '40710 x 2*4564=1. Thus it will 
be seen that in every 7 years the interest on the redemption money 
amounts to exactly enough to pay the fine. 

Renewal of any Number of Years Expired in a Lease 

The second table on p. 99 and the tables on pp. 100-103 show the 
number of years' purchase for the renewal of any number of years 

(14) 



f 



RENEWAL OF LEASES 

expired in leases of various length. A reference to p. 70 shows that 
the present value of;^i per annum for 10 years is;^8*iio9o, and on 
p. 99 we see that the amount to be paid for the renewal of a 10 years' 
lease is this same sum of ;;^8*iio9o, which may be read as either 
;£'8*iio9o for every £1 of income annually derived from the lease, 
or as 8*11090 years' purchase of the annual income from the lease. 
But if we own a lease that has, say, 5 years to run and we want to 
convert it into a lease that has 10 years to run, it is obvious that we 
must pay something for the extension of the lease. Reckoning 
interest at 4 % we have just seen that the value of a lease for 10 
years is 8*11090 times its annual value, and another reference to 
p* 70 shows that the value of the 5 years' lease we at present possess 
is £4'4S^^2 for every £1 of annual income ; in other words, the 
value of the 5 years' lease we hold is 4*45182 times the annual value 
of the lease. Deducting this value of the 5 years' lease we own 
from the total value of the 10 years' lease we wish to obtain, we have 
3*65908 as the number of years' purchase to be paid for extending 
our 5 -year lease into a lo-year lease. 

We could obtain the same result from the table on p. 70 showing 
the present value of £1 instead of the present value of £1 per 
annum. We are obviously entitled to the benefit of the lease for the 
next 5 years, and the additional benefit we have to pay for by having 
the lease extended to 10 years is equivalent to the present value of 

£1 due at the end of 6 years = * 7 9031 



£1 
£1 
£1 
£1 



>> 



>i 



fy 



>j 



» 



I) 



»> 



>J 



Total 



7 


»> 


= 75992 


8 


» 


= 73069 


9 


j> 


= •70259 


10 


» 


= •67556 


• 


1 


3*65907 



This gives us ;^3*659o7 as the present value of £1 per annum for 
the 6th to the loth years, or 3*65907 years' purchase of the annual 
value of the lease, and is the same result as we obtained before, 
except that the last figure is a 7 instead of an 8, which is due to 
the number of decimal places to which the calculations were carried 
not being suflftcient to produce absolutely identical results. 

The tables referring to the Renewals of any number of years in 
leases for 20, 21, and 40 years are calculated in the same way, and 
the renewal of leases for different times, or at other rates of interest 
than those given on pp. 99-103, may be readily calculated from the 
present value of ^i per annum given on pp. 50-85 by subtracting 
the present value of £1 per annum for the number of years the 
lease we own has to run from the present value of £1 per annum for 

(15) 



K 



! 



INTRODUCTION 

the number of years for which the fresh lease will be granted. It 
will be noticed that the last column in the table dealing with the 
lo years' lease is headed 17 95 % ; in the 20 years' lease 12 304 % ; 
in the 21 years' lease 11-564 % ; and in the 40 years' lease S.%. 

These rates of interest are respectively equivalent to a fine of 
I year's rent every 4, 7, 7, and 14 years. The extraordinary rates of 
interest here referred to result from customs that must presumably 
have originated from ignorance of the real rates of interest involved. 

Yield per cent, and Years' Purchase 

The percentage per annum which each number of years' purchase 
of a perpetuity yields to a purchaser is obtained by dividing 100 by 
the number of years' purchase. The results are given on p. 104. 

Interest, Amount, and Discount 

On p. 105 are shown the interest, amount, and discount of ;;fi in 
a year, and in 9, 6, and 3 months. The interest is calculated 
annually, and consequently in 9 months it is | of the interest earned 
in a year; in 6 months i, and in 3 months J of the annual 
interest. The * amount ' of £1 is simply the addition of the interest 
to the original £1, Were the interest to be calculated at other 
intervals than that of i year the figures here given would be different, 
as we shall see (p. 18) when we come to refer to the question in detail. 

Discount is the value at the beginning of a period of the interest 
to be received at the end— in other words, discount is the interest 
paid in advance. Thus the present value of £1 due at the end of a 
year, reckoning interest at 4 %, is ;£-96i54 (P- 7o)- l^^e value of 
£1 now due is, of course, £iy and the discount is the difference 
between these two amounts, which is ;^o3846 ; that is to say, if we 
owe an amount of £1 which is due to be paid one year hence, and, 
to suit the convenience of a creditor, we pay it twelve months in 
advance, we ought to be allowed a discount of ;£-o3846 ; that is to 
say, we should pay £961 S"^ ^^^w instead of paying £1 a year hence. 
This is obviously fair, since if we invested the;£-96i54 at 4 % for a 
year it would at the end of that time amount to the £1 we should 
have to pay. 

Sinking Fund 

On pp. 1 06-1 1 5 is given the annual amount to be set aside and 
invested in order to replace the capital at the end of the selected 
period. This table is obtained by dividing unity by the amount of 
one pound per annum, as given on pp. 50-85. Thus, comparing the 
amount of £1 per annum at 4 %, as given on p. 70, divided into 
unity with the Sinking Fund in the 4 % column on p. 112, we 

have for 

(16) 



SIl^Kl 



NG FUND 



Year 



I, I -f- 



„ 10, I 
„ 20, I 

» 3o» I 



I 00000 

I2'Oo6lI 

29*77808 
56-08494 



I "oooooo , 
•083291 ; 
•033582 ; 
•017830. 



This may be stated the other way about, and we may say that 
^•083291 per annum accumulated for ten years at 4 % amounts to 
£it or 083291 X 1200611 = I. 

In this table no provision is made for paying interest on the 
capital. If this has to be done the amounts given in the sinking 
fund table must be increased each year by the interest on £1, 
Thus to repay^^-i in ten years, and to pay interest annually at 4 %, 
needs an annual payment of 083291 + 04 = -123291. Of this 
amount 04 pays the interest each year, and ^083291 accumulated at 
4 % replaces the original £1 invested. 

If we take •123291 and accumulate it at 4 %, we find that in 
ten years It amounts to •123291 x 1200611 = 148024, which, from 
p. 70, we find IS the amount to which £1 amounts in ten years at 
4 % if the mterest on it is allowed to accumulate instead of beinc 
drawn annually. ® 

In using this table care must be taken to notice whether the 
purpose for which it is required calls for interest on the original 
mvestment to be paid annually or not. See pp. 225 and 219 

If the purchaser of a leasehold property wishes to set aside out 
of the net rent received sufficient to replace the purchase price by 
the time the lease expires, the table must be used as it stands, the 
difference between the net rent and the sinking fund constituting the 
mterest on the purchase price of the lease. 

If, on the other hand, a loan has to be repaid, say, in 10 years, 
with interest at 4%, either the interest on the loan must be paid 
annually, in addition to the sinking fund as given in the table, or 
•04 must be added to the sinking fund for every £1 borrowed, and 
allowed to accumulate with it. ^ , ^ 

If the interest is at i % there must be an addition of •©! to the 

01 02 , if at 5 %, of -05 ; if at 10 %, of -I ; and so on. 



(17) 









I 






) 



INTRODUCTION 

Value of Annuity to Yield Interest on Capital at One 
Rate, and Replace Capital at a Lower Rate 

On pp. 1 16- 1 2 if are given the annual payments required to pay 
interest at comparatively high rates, and to replace the capital by a 
sinking fund accumulating at a lower rate. From p. no we learn 
that ;£-o8723i per annum at 3% for 10 years will amount to £1. 
But if we have to pay 5 % per annum upon the £\ we must add 
;^o5 to the sinking fund payment of ;^o8723i. These two amounts 
come to ^-137231, and would suffice, if paid annually for 10 years, 
to pay 5 % per annum on the original loan of £\, and to replace 
the ^i by accumulation at 3 %. The present value of- this annuity 
of ;£i3723i on these terms as to interest is therefore obviously pfi. 
But if the value of an annuity of £'i31^Z^ is £^* the value of an 

annuity of ^i is — ^- — =7287, which, on reference to p. 120, we 

^ -137231 . , 

see to be the value of an annuity of £1 yieldmg mterest on capital 

at 5 %, and replacing capital when invested at 3 %. 

These terms are very onerous to the borrower, since he has to 
pay interest at a high rate on the whole capitil for the whole term, 
although by the accumulation of the sinking fund the capital may be 
rightly considered as partly repaid. 

These tables may be readily extended to other periods and rates 
of interest by taking the reciprocal of the amount obtained by adding 
to the sinking fund payment the annual interest on the loan. The 
reciprocal of a number is obtained by dividing unity by the number. 

The value of an annuity of any other amount than £1 per annum 
is obtained by multiplying the figures in the table by the amount oi 
the annuity. See also p. 226. 

Nominal and Effective Rates of Interest 

On p. 122 is given a table comparing nominal and effective 
rates of interest. This subject is a somewhat intricate one, but the 
main principles underlying it may be grasped without much diffi- 
culty. Hitherto we have been. considering that the rate of interest 
was calculated annually. We now have to deal with the case of 
interest calculated half-yearly, quarterly, and monthly. Suppose the 
nominal rate to be 4 % per annum ; it will obviously be 2 % for 6 
months, and at the end of the first half-year an original investment 
of ^i will amount to ;^io2. For the second half-year interest at 
the rate of 2% for every 6 months is now earned upon ;^ 10 2 
instead of upon only ^1. This brings the amount of the original 
investment at the end of the second half-year to ;£io404 instead of 

(18) 



NOMINAL AND EFFECTIVE RATES OF INTEREST 

to only ;£"i 04, which is the amount it would have been if the inte- 
rest had been calculated annually instead of half-yearly. A reference 
to p. 58 will show that this is the amount that £1 amounts to in 2 
years at 2 %. Hence we see that if we want to calculate interest at 
more frequent intervals than i year we can divide the nominal rate of 
interest by the number of periods (at which interest is to be calcu- 
lated) that are contained in a year, and take the interest for this 
number of years at the resulting rate of interest. In other words, 
we see that instead of talking about years we can talk about periods, 
and if we want to talk about interest that is nominally 4 % per 
annum, but really 2 % for 6 months, or if convertible quarterly i % 
for 3 months, we may turn to a 2 % table and look at the result 
after 2 periods and a i % table to find the result after 4 periods. 
Thus on p. 50 we see that £1 accumulated for 4 periods at i % 
amounts to ^1-0406, the interest being ;£"-o4o6, which is the effective 
annual rate when interest is convertible quarterly, shown on p. 122 as 
corresponding to a nominal annual rate of 4%. The same thing holds 
if interest is convertible monthly. The amount of £1 accumulated 
for 12 periods, whatever their length, at ^ % per period, would amount 
^o ;£^i '061678, and -061678 is shown on p. 122 to be the effective 
annual rate when interest is convertible monthly, if the nominal rate 
is 6 % per annum. The lower part of the table is the converse of the 
upper. If the real or effective rate is 4 % per annum the nominal 
annual rate, when interest is convertible half-yearly, is ^£^039608, or 
•019804 per half-year. Thus £1 for 6 months at 019804 % per 
6 months amounts to ;£i -019804. During a second period of 
6 months this amount at the same rate of interest earns ^^020 196, 
which added to the ;^i -019804 makes up ;£'io4, which is equi- 
valent to the amount of ^i at an effective annual rate of 4 %. The 
higher the rate of interest and the more frequently the interest is 
convertible the greater is the difference between the effective and 
the nominal rates. See Preface to 26th Edition. 



Annuities Payable Half-yearly, Quarterly, and Monthly 

If we are entitled to receive an annuity of ^i per annum, payable 
yearly, but, instead of receiving it annually, receive it every 6 months, 
we obviously receive the amount of the half-yearly payment sooner 
than we are entitled to; and if that half-yearly payment were 
invested for 6 months, the 2 half-yearly payments, together with 
this 6 months' interest on one of them, would amount to more than 
the annual payment to which we are entitled supposing the half- 
yearly payments were exactly half the yearly payment. That is to say, 
if the annuity to which we are entitled annually ie divided into 2, or 

(19) b a 






INTRODUCTION 



DECIMALS OF ONE YEAR 



4, or 12 equal parts, and paid half-yearly, quarterly, or monthly, its 
capital value is greater than if the annuity were paid annually. As a 
concrete instance of this we have, on p. 123, the value of an annuity 
of £1 per annum for 25 years at 4%. If the annuity is payable 
annually and the interest convertible annually, the present value 01 
the annuity is ;^i5-622o8, which is the figure given for its value on 
p. 70, as also on p. 123. To find the value of an annuity of 10s. every 
6 months for 25 years at 4% we multiply ;£i5-622o8 by 10099, the 
factor given in the upper table on p. 123. This gives us 1577677 
as the value of an annuity of 10^. every 6 months for twenty-five 
years, reckoning interest at 4 % per annum. 

Similarly an annuity of £1 per annum payable quarterly— that 
is, $s. every three months— is worth 1 5 62208 x 1 -01488, or^^ 1 5'85449- 
The value of an annuity payable monthly is calculated on similar 
principles, the constant factor by which to multiply the value of the 
annuity payable yearly being 1-0182. 

If the interest is convertible half-yearly, and the annuity payable 
half-yearly, we can obtain the value of the annuity from the tables 
on pp. 50-85, by considering that we have an annuity of one-half 
per period for 50 periods at 2 % instead of an annuity of i for 
25 periods at 4%. A reference to p. 58 shows us that the present 
value of £1 per annum for 50 periods is ;;^3i*4236i, the half of 
which is ;^i57ii8o, which is the value given in the middle table 
on p. 123 for an annuity payable half-yearly when the interest is con- 
vertible half-yearly. Similarly an annuity of 5J. every three months 
at 4 % per annum convertible quarterly, which is i % every three 
months, is \ of ;^63-o2888, which on p. 51 is seen to be the amount 
of £1 per annum for 100 periods at i %. Now ;^63-o2888-f-4= 
^15-75722, which on p. 123 is seen to be the value of an annuity 
for 25 years at 4 % payable quarterly, with interest convertible 

quarterly. 

This subject is dealt with and the appropriate formulae given 
. in the * Theory of Compound Interest and Annuities ' by F^dor 
Thoman.* 

Present Value and Discount 

The bottom table on p. 123 gives to 9 places of decimals the 
present value of £1 due one year hence, which has already been 
given to fewer places of decimals on pp. 50-85, and explained on 
p. 10. The discount has been given for most rates of interest, 
but fewer places of decimals, on p. 105, and explained on p. 16. No 
farther explanation is therefore necessary here, but for some pur- 

* London : Crosby Lockwood and Son. 



poses it is convenient to have these items calculated with greater 
approach to accuracy, as is here done. 



Time in which an Amount Doubles at Interest 

On p. 124 is stated the number of years in which an amount 
is doubled at simple and compound interest. At simple interest all 
we have to do is to divide 100 by the rate of interest ; thus, ^100 
at 4% yields £/^ per annum, and dividing 100 by 4 we obtain 25 
years as the time it will take for the interest to amount to the same 
as the principal, or, in other words, double the principal. 

At compound interest we obtain the number of years in which 
the interest will amount to the capital approximately by dividing -69 
by the rate of interest, and still more nearly by dividing -693 by the 

rate of interest and adding '35 to the result. Thus — ^^ -f -35 = 
13-86-^35=14-2 J. 



Decimals of One Year 

On p. 124 are given the decimals of i year, representing various 
numbers of weeks, months, and days. From what has been said on 
p. 7 it will readily be apparent how these figures are arrived at. 
There being 52 weeks in a year, 13 weeks, for example, is obviously 

^ of a year. To convert the fraction ^ into a decimal we divide 
52 52 

13 by 52 and find that it goes -25 times. We assume the year to contain 
exactly 52 weeks, exactly 12 months, and exactly 365 days, the con- 
sequence being that though the figures given are right for practical 
purposes they are not entirely accurate. There are more than 52 
weeks and more than 365 days in a year, while no calendar month is 

exactly -- of a year. 
12 

If we meet with the decimal of a year different from any 
given in the table, and desire to know how many weeks, or 
months, or days it corresponds to, we must multiply by 12 
to get the answer in months, multiply by 52 to get the answer 
m weeks, and multiply by 365 to get the answer in days. 

Decimals of £1 

On pp. 125-128 is given the decimal corresponding to every 
farthing in the £1. The first and last columns on each page give 

(21) 






!:;; 



INTRODUCTION 

the pence and farthings up to ii|^., while at the top of each of the 
other columns the shillings are stated to which the figures in the 
columns refer. Thus if we wish to know the decimal corresponding 
to 4^. 3^. we look in the column marked 4^. on the line marked 3^., 
and find that the required decimal is £ -21250. Again, if we want 
the decimal corresponding to 13J. l\d. we look on p. 127, column 
13J., line 7}^., and find the required decimal to be ;£-68o2i. To 
obtain these results we must first convert the farthings into the 
decimal of a penny, then the pence and decimals of a penny into the 
decimal of a shilling, finally the shillings and decimals of a 'shilling 
into the decimal of a pound. Thus in the example we have just 
taken of 135. ']\d. 



One farthing = 



4 



= -25 of a penny, 



7-25 pence = ^— ^ = '6042 of a shilling, 

136042 shillings = ^^^^^^=-6802 1 of a pound, 

which is the result given in the table. 

To find the number of shillings, pence, and farthings corre- 
sponding to a given decimal we have only to look for the decimal 
nearest to the one we are dealing with, which is easily found in the 
table, as the decimals come in regular order throughout. 

To calculate the shillings, pence, and farthings corresponding to 
a given decimal we have only to carry out the converse of the 
process just described, multiplying first by 20 to get the shillings and 
decimals of a shilling, then multiplying the decimal part of a shilling 
by 1 2 to get the pence, and muhiplying the decimal part of the penny 
by 4 to get the farthings. Thus : 



•68021 of a ;^ X20 
•6042 of a shilling X 12 
•25 of a penny x 4 



13*6042 shiUings 
7*25 pence 
I farthing 



It will be convenient to remember that \s, is -05 of a £, 2s. is 
•I of a^, and every even number of shillings is expressed by half 
the number with a decimal dot to the left of it. Thus 45. = ;£-2, 1 2s, 
= £'(i, and so on. In the same way an odd number of shillings is 
always represented by a decimal ending in 5, and is half its own 
amount. Thus 5^. = £'2^ of a ;£ ; 95. = ;£-45» and so on. 

The figures in the column headed o shillings on p. 125 may be 
conveniently studied, for it will be seen that the last four of them are 
repeated exactly in all the columns headed with an even number of 
shillings, while in the columns headed with an odd number of 



MORTALITY TABLES 

shillings the last three 'of them are repeated exactly, and the figure 
in the second decimal place is in every instance increased by 5. 
Familiarity with the figures in this first column, especially those 
relating to an exact number of pence, when combined with the rule 
just referred to relating to shillings, will enable any one with a little 
practice to know the number of shillings and pence represented by 
a given decimal as readily as if the shillings and pence were actually 
written down, and conversely the decimal corresponding to any 
number of shillings and pence will be at once known without any 
calculation being consciously made. 



MORTALITY TABLES 

On pp. 130-136 certain statistics are given concerning the 
duration of human life. On pp. 1 30-1 31 the expectation or 
average duration of life is stated according to various mortality 
tables. 

The first table mentioned is the Northampton, prepared by 
Dr. Price in 1 780. This table for many years after its publication 
was much used, and many calculations based upon it are retained in 
the present volume. It contains, however, a great many serious 
defects, and its use for transactions on a large scale as a guide to the 
duration of Life has long since been abandoned. 

The Carlisle Table, published in 18 15, was greatly superior to 
the Northampton, and may still be used with advantage in many 
transactions in which the duration of life is concerned. The 
Experiences of the Equitable Society and of Seventeen Offices, 
published in 1834 and 1843 respectively, deal with assured lives, 
but are of less importance in connection with the valuation of 
life interests of all kinds than either the Carlisle or the Actuaries' 
Healthy Males Table. The English Experience (No. 3) is a very 
valuable table, dealing with the mortality recorded by the Registrar- 
General, and is the most reliable for questions of mortality among 
the general population. The Actuaries' Healthy Males Table, 
published in 1869, is the most reliable record of assured lives, and is 
the result of the experience accumulated by a large number of life 
offices. It is the best record of mortality among this class of 
people — that is to say, among people who have been subjected to a 
medical examination before going under observation, but who have 
since lived the ordinary lives of middle-class English people. 

Another table of considerable importance in connection with 
annuity transactions is the Government Annuitants, in regard to 
which some information will be given later on. 

The fundamental facts to be learnt from a life table are the 

(23) 



II A' "- •>^pJfai 



INTRODUCTION 

number living at the beginning of each year tnd the number dying 
during the year. When this information is available it is easy to 
calculate the probable number out of every loo alive at the beginning 
of the year who will survive the year and who will die during the 
year ; the percentage surviving and dying in each year together adds 
up to ICG, as may be seen in columns 4 and 5 on pp. 134 and 135. 
The expectation of life given on pp. 130 and 131 shows the average 
duration of life among a large number of people, and is determined 
by dividing the total number of years that a given number of people 
will live by the given number of people under observation. Thus, if 
,we examine the table on p. 135, from age 90 we see that of 1,460 
living at age 90 

1,052 reach the age of 91 



723 


jj 


>* 


92 


469 


>) 


i> 


93 


274 


)s 


)) 


94 


135 


)J 


>» 


95 


49 


» 


M 


96 


9 


n 


)} 


97 


2,711 









Adding together the number who survive to the different ages, 
we find that the 1,460 people with which we commenced live 
between them 2,711 complete years ; and, dividing this number by 
1,460, we get an average of i'857 complete years as the duration of 
life of each of the 1,460 people whom we commenced to observe at 
the age 90. This, however, considers only the en/ire years that are 
survived ; lives that live to 91 years and 11 months are treated as if 
they only lived to 91. It is, however, much more likely that the 
deaths will be fairly evenly distributed throughout the year, and they 
may, therefore, be reckoned as happening in the middle of each year. 

In these figures, therefore, we are reckoning that each one of the 
lives under observation would live six months less than would 
actually be the case, and if we add this half-year to the 1*857 years, 
we arrive at 2*357, which is the average expectation of life given in 
the Hm column on p. 131. 

We sometimes hear of the Curtate (or cut short) expectation of 
life, which means the number of complete years of life which people 
of the given age may, on the average, expect to live ; the Curtate 
expectation of life at age 90 is the 1*857 years, which we obtained 
above, and it is always half a year less than the complete expecta-^ 
tion of life given on p. 131. 

The expectation of life cannot properly be used in calculations 

(24) 



VALUES OF ANNUITIES 

with which interest is concerned, for the reasons to be given here- 
after (p. 26) ; nor can we learn from the expectation anything about 
the probable duration of life of any individual. It is, however, a re- 
markable fact that, while the time at which any individual will die is 
uncertain in the extreme, the average duration of life among large 
numbers of people is very uniform. The expectation of life should 
also be distinguished from the Vie Probable, or probable lifetime. 
This means the number of years that have to elapse before exactly 
half the number of people alive at a given age have died. Thus 
from the table on p. 135 we find that 51,373 people are alive at age 
64. By age 75 we find that only half this number survives, the 
other half having died in the meantime. The Vie Probable at age 
64 is therefore the difference between 64 and 75, viz. 11 years. 



Mortality of Single Lives and Interest 

The tables on pp. 138-154 are concerned with single lives and 
interest. They give the values of annuities and the single and 
annual payments to secure J[^\ at death, together with the values of 
reversions. 

Values of Annuities 

The tables that are in many ways the most important are those 
which give the values of annuities to be received annually through- 
out the lifetime of the person of the age stated. In every case, 
unless specially mentioned as being otherwise, an annuity means an 
annual payment of ;^i, or of course ^i, or any other unit, the value 
being given in pounds if the annuity is;^i, in dollars if the annuity 
is ;Jii, and so on. Annuity values derive their importance not 
merely from the immediate use that may be made of the table, but 
also from the facility with which other benefits dependent upon the 
duration of life may be derived from them. It is therefore worth 
while to explain in some detail how the annuity values may be 
determined. If we know that i year hence we have to pay J[^\, 
reckoning interest at 3 %, we can tell from p. 66 that we must have 
;£"*97o874 in hand now in order to possess ^i in a year's time, 
while, according to the Carlisle Table on p. 136, we see thav out 
of 30 people alive at age 95 seven will die during the year, and that 
consequently there will be 23 people alive i year hence to receive 
£^\ each, assuming we have contracted with the 30 people to pay 
each of them ;^i per annum as long as they are alive. In order to 
make this first payment to our annuitants we must therefore have 23 
times ;^*97o874, viz. ;;^2 2*33oio2, and so on in succeeding years, 
as set out in the following table : — 

(25) 



i 



w 

I 



'S \ 



«!■ 



I 



INTRODUCTION 



C J 

Table Showing the Yalne of an Annuity of £1 per Annnm 
payable at the End of the Tear to each Survivor of 30 Perioni, Age 95 


Year 


Number living 
at End of Year 


Present Value of / 1 
due at End of Year 


Present Value of £i 
to each Survivor 


I 
2 

3 
4 

I 

9 


23 
18 

14 
II 

9 
7 
5 
3 

I 


£ 
•970874 
•942596 
•915142 
•888487 
•862608 

•837484 
•8 1 3091 

•789491 

•766417 


£ 
22^3301 

1 6 9667 

12-8120 

97734 

77635 
5-8624 

4-0655 

23685 

•7664 


Total 


• •• 


■ • • 


82 7085 


Total cost of 30 annuities, ;^82-7o85. 
Cost of I annuity, ;^82 -7085 -{- 30 = ;^2 -7 5695. 



From this we see that, assuming mortality to occur according to 
the Carlisle Table, we need to have ;£82-7o85 in hand now, 
and to be able to earn interest upon it at 3 % in order to pay 
an annuity to each of 30 people at present age 95. If this is the 
value of 30 annuities, the value of i annuity is ^2-75695, or, stated 
to the nearest third decimal, jQ^'TSl ^^ given in the 3 % column on 
p. 141. 

The advanced age of 95 was chosen as an illustration, in order 
to avoid the lengthy table required to illustrate the value for younger 
ages. It will be noticed that it is necessary to proceed year by year 
up to the end of the mortality table. It is not correct, as is some- 
times supposed, to take the average duration of life and then see the 
present value of ;£" i per annum for that number of years. Thus, 
acco^-ding to the Carlisle Table, the average duration of life at age 35 
is 31 years. If we take the present value of ;£'i per annum for 31 
years from the tables given on pp. 66-80, and compare them with 
the annuity values on p. 140, we have the following results :— 



Rate 
of Interest 


Value of Annuity according to 


Error 
in Excess 


Expectation 


Table, p. 140 


Per Cent. 
3 

4 

1 
1 


£ 
20 000 

17-588 

15593 
13-929 

12-532 
11*350 


£ 

18-433 
16-041 

14-127 

12-573 

1 1 -295 

10235 


£ 
1-567 

1-547 
1-466 

1-356 
1-237 

1-115 



(26) 



PAYMENTS TO SECURE jCi AX DEATH 

If interest had not to be considered, the value of an annuity 
could correctly be obtained from the average duration of life, since 
if, say, 100 people at age 35 live 3,100 years between them we must 
obviously have ;£"3,ioo to pay them j£i per annum during life. But 
when the accumulation of interest comes in we can no longer base 
our calculations upon the expectation of life, even with the use of an 
interest table, without getting, as shown above, erroneous results. 

In these tables no provision is made for any expenses con- 
nected with the granting of annuities, such as has to be provided in 
the case of life assurance companies who grant them. Although the 
word annuity is used throughout the tables, the tables of course 
apply to income derived from any source, whether ordinarily called 
an annuity or not. Thus, suppose we wish to ascertain the value of a 
life interest derived from trust funds, or from a lease dependent upon 
the duration of life, these tables of annuity values of course apply. 

Private individuals who use these tables for the purpose of dealing 
with annuities must remember that dealing with only a few lives is a 
very speculative transaction. A purchaser may buy a life interest 
to-day, and the life on whose duration the income depends may die 
to-morrow, and the bargain prove a bad one, or may live an abnor- 
mally long while, and the bargain prove a good one ; so that no tables 
can give any idea of the value of an annuity on only one life. They 
give correctly the average value of annuities on many lives, and 
where many lives are concerned are a reliable guide. This is a point 
that should always be borne in mind by people dealing in life interests 
of any kind on a small scale. 

On pp. 142 and 143 the values of annuities are given according 
to the Healthy Males Table published by the Institute of Actuaries. 
These are not the most suitable tables to use for determining the 
value of an income for life considered by itself, but they are the best 
tables for many other purposes, and the annuity values are very con- 
venient for calculating the values of other benefits. 

On pp. 144 and 145 annuity values are given according to the 
experience of Government annuitants. These tables are at present 
the most reliable guide to the average value of annuities. It is well 
known that annuitants live "long, and consequently tables that 
correctly record the mortality experience of annuitants are not 
usually appropriate for determining the value of assurance, and vice 
versa. Several very heavy losses have been made in times past by 
this now most obvious fact having been overlooked. 

Single and Annual Payments to secure £1 at Death 

On pp. 146- 15 1 the single and annual payments to secure £1 at 
death are tabulated. There is a very clo.se connection between these 

(27) 



fl 



ss 



! 



INTRODUCTION 

items and the values of annuities. Advantage is taken of this connec- 
tion to derive the values of assurances from those of annuities by means 
of Premium Conversion Tables, such as are given on pp. 185 and 
186, in describing which this connection is explained (p. 35). For 
the moment it will be sufficient to notice that the single payments to 
secure ;£^ i at death can be readily obtained from the annuity values, 
pp. 138-145, by means of conversion tables, and the annual payments 
to secure ^i at death can also be obtained from the same pages. 
For details see pp. 35-39. 

Value of Reversions 

If we wish to know the average value of the reversion to a sum of 
money on the death of a person of a given age we can at once obtain 
it by multiplying the single payment to secure ;£^i at death by the 
sum in question. If, however, we wish to know the value of a rever- 
sion to a perpetuity — that is to say, to a perpetual income such as may 
be derived from freehold property — it is convenient to proceed some- 
what differently. On p. 94 we have the present value of a perpetuity 
to' be entered upon at once, but if it is not to be entered upon until 
the death of a person of a given age it is obviously worth less than 
if we were to obtain possession at once. The difference between 
the present value of immediate and of deferred possession is the pre- 
sent value of the benefit the existing holder will receive from it ; in 
other words, the difference between the value of immediate and of 
deferred possession is the value of an annuity on the life of the 
present holder. Thus at 4 % the value of a perpetuity with immediate 
possession is ;;^25. The value of an annuity at age 50 according to 
the Carlisle Table is ;^ 12 '869, so that the value of a perpetuity to be 
entered upon at the death of a person of age 50, according to the 
Carlisle Table at 4 %, is 25*000 — 12*869= 1 2*1 31, which is the 
amount given on p. 154. Hence it appears that to obtain the present 
value of the reversion to a perpetuity at the death of a person of a 
given age we must deduct the value of an annuity during the life of 
that person from the value of a perpetuity to be entered upon im- 
mediately, as given on p. 94. 

The present value of reversions of this kind are given at con- 
siderable detail on pp. 152 and 153, according to the Government 
Experience Table, because this is on the whole the most reliable table 
for the purpose. The values according to other tables and for other 
ages may readily be obtained by the simple rule just stated. 



MORTALITY OF TWO LIVES AND INTEREST 



Two Lives and Interest 

The tables on pp. 156-181 deal with various benefits that are 
dependent upon the duration of one or both of two lives. In such 
cases it is necessary to distinguish carefully in what way the lives 
enter into the question. We sometimes have to deal with joint lives, 
in which case an annuity is payable so long as do/A lives continue 
and ceases at the end of either of them, or in the case of joint life 
assurance the sum is paid on the occurrence of the/rj/ death. 
Then we have benefits such as annuities or assurances dependent 
on the duration of the longer of the two lives ; that is to say, an 
annuity payable to the last survivor continues so long as either of 
the two people concerned is alive, or in the case of assurance the 
suni assured is paid at the death of the second of the two. Yet 
again we have Contingent Survivorship benefits, such as the assur- 
ance of a sum of money to be paid at the death of X, if Y is 
living when X dies, nothing being paid in the event of Y dying 
before X. 

Joint Life Benefits 

We will deal first with the values of annuities payable during the 
joint life of two persons— payable, that is to say, so long as both 
persons are alive, and ceasing when either of them dies. 

We have already explained on p. 26 how the value of an annuity 
can be calculated if we know the probable number out of every 100 
alive at the beginning of a year who will survive to the end of the 
year, and we must now explain how to ascertain this probability in 
regard to pairs of lives as distinguished from individual lives, with 
which we were formerly dealing. We may use in illustration the 
Healthy Males Mortality Table given on pp. 134 and 135, taking 
one life at age 30 and the other at age 60. The probability that a 
life aged 30 will survive one year is seen to be 99-2277 out of every 
100, and that of a life aged 60 is 97*0322 out of 100. If we multiply 
these two probabilities together, we obtain the probability of both 
persons surviving the year, which works out at 96*283 out of 100. 
We can deal with successive years in the same way, and so make a 
fresh Mortality Table for pairs of lives instead of for individuals. 
Such a table for ten year^ is given below for two lives aged 
respectively 30 and 60 at the time they came under observation ;— 



(28) 



(aol 



r 






"^^ 



INTRODUCTION 



Table Showing probable Duration of Pairs of Lives. Hm Table 



Younger Life 



Elder Life 



Age 



Probable 

Number out of 

every loo who 

survive the 

Year 



Age 



(l) 


(2) 


30 


99-2277 


31 


992083 


32 


99 1 895 


33 


991715 


34 


991496 


35 


99-1226 


36 


99*0891 


37 


990536 


38 


99 0220 


39 


98-9918 


40 





61 
62 

63 
64 

65 

66 

68 
69 

70 



Probable 

Number out of 

every 100 

who survive 

the Year 



(4) 

97 -0322 
96-7962 
96-5364 
96-2510 
959590 

95-6569 

953431 
95 -01 1 1 

94-6766 

94-2660 



Pairs of Lives 



Probable 

Number out of 

every 100 

who survive 

the Year 



(5) 
96-283 

96 030 

95754 
95 454 
95 143 

94 -'8 1 8 

94 '475 
94-112 

93751 
93316 



Number of 

Pairs living at 

Beginning of 

each Year 



(6) 
10,000 
9,628 
9,246 
8,853 
8,451 

8,040 
7.624 
7.203 
6,778 

6,355 
5»93o 



The probable number of individuals who will survive out of 
every hundred at each age is given in column 4 on pp. 134 and 
135, and by multiplying together the fractions obtained by putting 
these numbers as numerators and 100 as denominators we obtain the 
probability that a pair of lives of these ages will survive one year. 

The first column gives the age of the younger life and the third 
column the age of the elder life, and the details given in columns 
5 and 6 refer to pairs of lives of the ages given in columns i and 3. 
Columns 2 and 4 are copied from the mortality table on pp. 134 
and 135. In column 5 we have the probable number out of every 
100 pairs of lives who survive the year. This is obtained for ages 

30 and 60 by multiplying 99-2277 ^97:0322^ ^^^^^ equals 91^^-3 ^s 

100 100 ^ lOOOO 

the probability for each pair, or 96283 pairs per 100. The details 
for other years are obtained in the same way. The last column 
gives the number living at the beginning of each year out of every 
10,000 pairs alive at the commencement. This corresponds to 
column 2 of the mortality table on pp. 134 and 135. By multiply- 
ing the number living at one pair of ages by the probability of sur- 
viving one year we obtain the numbef living at the commencement 
of the next age. Thus : — * 

10000x9^3=9628. 



100 



9628 X 95:^3^9246. 



and so on throughout. 



100 



(30) 



Uv 



■V 



JOINT LIFE AND SURVIVORSHIP BENEFITS 

. If the above table were continued till one or other member of 
all the pairs of lives had ceased to exist, we could determine the 
value of joint life annuities in the same way as we calculated the 
values of annuities on single lives on p. 26. Joint life annuity 
values are given on pp. 156-165 according to the Northampton, 
Carlisle, Government Experience (1883), and Institute of Actuaries, 
Healthy Males Tables. For the most part they are given at every 
five years of age for both lives. To give them for every year of age 
would take up a great deal of room. They may, however, be found 
for every year of age, according to the Government Experience, in 
7oint Life Annuity Tables,' published by the Institute of Actuaries; 
according to the Healthy Males Table in the * Institute of Actuaries 
Life Tables;' and according to the Carlisle Table in 'Jones on 
Annuities.' 

The single payment to secure £1 at the cessation of the joint 
life— that is to say, at the death of either of two lives— is given 
according to the Northampton, Carlisle, and Healthy Males Tables 
on pp. 166-169. The figures in these tables may readily be found by 
means of conversion tables from the tables of joint life annuities, as 
already mentioned and as hereafter explained. By the use of these 
tables the annual payments during the joint continuance of two 
lives to secure £1 at the first death can also be obtained by 
inspection by the use of conversion tables. They are given according 
to the Institute of Actuaries Table on p. 170. 

Survivorship Benefits 

On pp. 1 71-173 are given the values of annuities during the 
continuance of either of two lives. These differ from the joint life 
tables just considered, inasmuch as joint life annuities are payable 
only so long as l^o^/i persons exist, and the last survivor annuities are 
payable so long as eif/ier of the two persons lives. If we have tables 
of joint life annuities and of single life annuities we can readily find 
the values of annuities payable during the continuance of either of 
two lives. 

If we undertake to pay £1 per annum to each of two lives we 
can tell the value of that undertaking from the single annuity values 
given on pp. 138-145. Suppose the lives to be 30 and 60, then 
the value of the annuity on the life aged 30 by the Carlisle Table 
at 3 % is ^19-556, and on the life aged 60 pf 10-491, the value 
of the two together being ;£"3oo47. To pay these annuities would 
mvolve paying £2 per annum so long as both persons were alive, 
and £1 per annum to the survivor of the two. But the annuities 
we are now considering, those given on p. 172, only require ^^^i per 
annum to be paid during the joint continuance of the two lives, and 

(31) 



f 



i 



INTRODUCTION 

j^\ per annum to the survivor of the two. The difference between 
these two arrangements is, therefore, £^\ per annum during their 
joint lives, and from the joint life annuity tables on p. 157 we know 
the value of this to be ^9*529. Hence we get the rule that to 
find the value of an annuity on the survivor of two lives we must 
take the value of an annuity on each of the single lives, and deduct 
from the sum of these two the value of an annuity on the two joint 
lives. Thus according to the Carlisle Table at 3 % the value of an 
annuity 



On a life age 50 is (p. 140) . . . . 
On a life age 70 is (p. 141) . . . . 

On the two single lives is . . . . 
On the joint lives is (p. 157) . 

During the continuance of either of the two 1 
lives is (p. 172) / 



14*303 

7123 

21*426 

6-338 
15-088 



In this way survivorship annuities for other ages and by other 
tables than those given on pp. 171-173 may readily be arrived at. 

The single payment to secure £^\ at the death of the last of two 
lives is given on pp. 174-176. These amounts, like so many others, 
may be at once obtained by means of premium conversion tables. 

The same remark applies to the annual payments to secure the 
same benefit, which are given on p. 177, it being noted that the 
annual payments have to be continued during the continuance of 
either of the two lives. 

Reversions to Perpetuities 

On p. 178 the values of the Reversion to a Perpetuity on the 
death of the first and on the death of the last of two lives are given. 
It has already been explained (p. 28) how the value of a reversion 
to a perpetuity on the death of a single life may be obtained. 
Where two lives are concerned the process is exactly the same. 
Thus at 4 % the value of a perpetuity to be entered upon imme- 
diately is (p. 94) £^2^ ; the value of an annuity during the joint 
continuance of two lives, each aged 60, according to the Healthy 
Males Table at 4 %, is j£6Tjg. Deducting this amount from the 
previous one we have (25ooo-6-779=r) ;^i8-22i, which is the 
amount given in the upper table on p. 178. 

Similarly the value of an annuity during the continuance of either 
of two lives, each age 60, is, according to the Healthy Males Table 
at 4% (p. 173), ;^i2i39. Deducting this from the value of a 
perpetuity to be entered upon immediately, we have (25000 — 
12*139=) 1 2 -86 1, which is the amount given in the lower table on 
p. 178. 

(32) 



REVERSIONARY ANNUITIES 



Reversionary Annuities 

be age 45 and his son to be age M lis^ll\T""t ''"" '° 
value of the annuity to be ent:f:d up ' by V In o" t ^7^"' 
death and to continue during the time that thl 1 . "'^'' ' 

amount given on n r^n oc ^u \ ; *S;^7 487, which is the 
or^ agel^afte" L'll^ ot Tged 4° ^" ^""""^ '"'-' ""^ "^^ 

is n2TitrJ!:r,et"£et^h?^^^^^ ""="'^"°" ^^^^ ^^ -^^ - 

the results ^ ^^ '^'"^' '^°'^ "^" « ^^^ samples of 

never come into the annu^ at Si 1„ ,t "'^"'' "°"''' 
- have the certainty that^^willt a. vVauhTrthT^'ThT' 
suppose we wish to ascertain the v:,ln. J ^^"^' 

living, we may ta.ethe age"? tt^t^ ^"SsSltt T. 

nominated at the death^fata"U:rAci:'H'^^ "'k '^ '° "^ 
Table at 3 o/„ the presenHa u^ of y. o hf ^'°*!.^"'"'^ 
death of a man aeed ^c U /,. t^ /-"^ ^ received at the 

annuity on a Hfe ajj^^i ^^^.^f > £g«5, and the value of an 

value of an annuit^ the' first paymfrf wWch L 'to br"", " "' 
year after purchase h„f if ic u . ^ ^^ "^ ^^^^ one 

of an annuity during the life of v a-r^rf ^^"6 Carlisle Table at 3% 
the death of^r aeed .c v .f ^t ^' "^^ " '° be nominated at 
annuity imme^diafe J at Ahl Z^'o^"S7'°''' '° ^^^ °" '"^ 
tion to illustrate the point hifnt tSiedthTfextT' ^'T"'^" 

"ves^a^drel^nXlnroTXetit^r^^^^^^^^ ''^ "" 
W how to calculate the values o'f aSil's rsucceLiru:::' " 

(33) 



''1 









I 



INTRODUCTION 

Contingent Assurances 

On pp. 180 and 181 we have the single payments to secure;^! at 
the death of x provided he dies before >'. This is a somewhat more 
comphcated matter to calculate than any that we have dealt with pre- 
viously. To obtain it we must take the single premium for joint life 
assurance on the two Hves,and add to it the value of an annuity on two 
joint lives, one a year younger than x, the other of the age oiy, 
divided by the probability of a life one year younger than x living 
one year. Then take the value of an annuity on two joint lives, one 
the age of x, the other one year younger than j, divided by the 
chance of a life one year younger than y living one year, subtract 
this result from the former result, and divide by 2. This process 
may be more clearly apprehended by the following formula and 
example : — 



Ai,= '/A„+^?^'-''' 



=:(A. 






Px-x P% 

v;hcre A;^ = the single premium for an assurance on the life f x 

provided y be then alive. 
A^ = the single premium for an assurance payable at the 

first death of ^ or ^. 
a^.y = the value of a joint hfe annuity on x and j'. 
p^ = the probability of a life age x dying within a year. 

As an example let ^=^30 and \>'=5o, and let us employ the 
Healthy Males Table with interest at 3 %. Then : 

A^ = A30 50 = (see p. 1 68) -6077 

<h=iiJL^ ^iiiio = JL£:514_7^ 12 6084 

A-i /a9 '992567 

By addition = 1 3"2 161 

A-. A, -984780 !l_ 

By subtraction = 0*2860 

Divided by 2 = oi43o=Aiy 

which is the amount given on p. 181. 

In the above example the values /,._, or p^ and /y_i or /^ are 
found on p. 134, and of A^-j, on p. 168. The values of «x-i.y ^"^^ 
«*;»-!> = ^3950 and r7^.^,, are not given in this book. 



ANNUITIES ON THREE LIVES 

Annuities on Three Lives 

On pp. 182 and 183 the values of annuities for the joint con- 

tmuance of three lives are given. Full tables for annuities on three 

ives would be very extensive, and it is therefore generally necessary 

to obtam them from the values of annuities on two joint lives bv 

some such method as the following :— 

Take the present value of the annuity on the joint lives of the 
two oldest and find at what age the present value of an annuity on 
a single life will be equal thereto; the value of an annuity on the 
joint lives of the youngest of the three lives and the life of the age 
just found will be approximately the value of the annuity on the 
three lives In general we shall be nearer the truth if we subtract 
^05 from the value just found. The two-life tables given in this book 
are not sufficiently full to enable the calculation of three-life 
annuities to be made in very many cases. 

On p. 184 is given the value of an annuity during the longest of 
three lives. The values are obtained by adding together the values 
of the annuities on each single life, and subtracting from the sum 
the value of the annuity on each pair of joint lives, then adding the 
value of the annuity on the three joint lives. In this table, as in the 
previous one, complete tables of annuities on two joint lives are 
necessary to enable these values to be calculated. 

Premium Conversion Tables 

Pages 185 and 186 contain short Premium Conversion Tables 
by means of which the single and annual premiums to secure /"i at 
death may be found by inspection. On p. ,42 we see that according 
to the Institute of Actuaries Table at 3 % the value of an annuity on 
a life aged 40 is ^17 176, and on p. 148 we find the single payment 
to secure ^i at cleath is ^-4706. This latter value may readily be 
found from the Single Premium Conversion Table on p. ,8.; Re- 
fernng to the 3 % column, we find that the single premium' corre- 
sponding to an annuity value of ^17 iS;^-47573. The difference in 
the single premium corresponding to the decimal part of the annuity 
value IS found from the lower table on p. 185, and must be subtracted 
trom the premium corresponding to the annuity value oi £11 
The difference corresponding to 



•I 

•07 
•006 
•0002 ' 



(34) 




•00291 

•6204 

•017 

•I 

•00513 



!i 



1-' 



(35) 



c 2 



INTRODUCTION 



f 



We thus have the single premium corresponding to an 

annuity of ;£" 1 7 .... ='47573 

Subtract difference . . . .' ='00513 

Single premium for annuity of £^i 7*1 762 = -47060 

which is the amount given on p. 148. 

The differences, as can be seen from the above example, vary 
with the position of the figures in them in relation to the decimal 
point. 

Thus at 3 % :— 

The difference for 'i is -00291 

for "oi it is -000291 

for 'ooi it is -0000291 

and so on. 

The explanation of this connection is very simple. 

The annuity value designated a gives the present value of ;^i per 
annum on the supposition that the first payment of the annuity has 
to be made one year hence, and that the last payment is to be 
made on the anniversary of the first which immediately precedes the 
death of the annuitant. If, however, one further annual payment is 
to be made after the death of the annuitant, and we know the value 
of an annuity on these conditions, the difference between the value 
of an annuity with the last payment before the death of the annuitant 
and that of an annuity * providing for one payment after death will 
give the value oi £^\ to be received at^ death. The value of an 
annuity providing for this one extra payment is obtained by taking 
the present value of i +« due one year hence, which may be ex- 
pressed by the formula z; (i -f fl), where z/is the value of ^i due one 
year hence. Clearly, after the first payment has been made on such 
an annuity as this, there still remains the same number of payments 
to make as under an ordinary annuity. Therefore, if we know the 
present value of the first payment of ^i which has to be made 
one year hence, and the present value of an ordinary annuity one 
year hence, we have the value of an annuity providing for one pay- 
ment after the death of the annuitant. 

Using the same example as before, we have :— 

» 

a = 17-1762 (see p. 142) 

\-\- a = 18-1762 

V = '97087 (see p. 123) 

z> (i +«) = 18-1762 X -97087 = 17-6468 
Deducts 17-1762 

V (i +a) — a = _*47^ 
N (36) 



PREMIUM CONVERSION TABLES 

This amount ;^-47o6 is the single premium to secure /"i at 
death given on p. 148. 

This table may be used to find the single premium for assurance 
on smgle lives, joint lives, the last survivor or survivors of any number 
of lives, and on successive lives ; but not for contingent assurances 

The s.ingle premium for the assurance of £1 at death may very 
easily be found from the annuity value by a quite simple calculation 
even when no Conversion Table is available. We have just seen 
that v{i-j-a)-a = A,or the single premium. Now v, which is the 
present value of ^i due i year hence, is equal to i -^, where d is 
t^e discount on i for i year. Hence we find that v (i-^a)-a 
-(I -d) (!+«)- «, which is the same as i - ^ (i + a). The value 
ot a is given on p. 123 for various rates of interest. Therefore the 
single premium is at once found by adding i to the value of the 
annuity, multiplying it by the rate of discount ^, and subtracting the 
result from unity. Thus, to refer again to the example given above 
1+^=18-1762, ^ = -02913 (p. 123). Therefore i-d(i^a) 

-I -•02913x18-1762 = I --5294= .4706, which is the value of 
the single premium previously found. 

Page 186 gives a table for finding the annual premium payable - 
throughout life for the assurance of ^i at death. The present value 
of all these annual payments is, of course, the same as the single 
premium to secure the same benefit, assuming the same Mortality 
Table and the same rate of interest to be employed in the calcula- 
tions. Inasmuch as the annual premiums to be paid for assurance 
commence when the assurance is effected, so that the first premium 
has to be paid immediately, the number of annual premiums that 
have to be paid is one more than the number of annuity payments 
on the same life, since the first ordinary annuity payment is made one 
year after the annuity is taken, and the last is made prior to the death 
of the annuitant. Hence the single premium is the present value of 
an annuity the amount of which is the annual premium to secure /^i 
at death plus the extra premium that has to be paid when the assur- 
ance is effected. Thus the annuity value plus i multiplied by the 
annual premium equals the single premium. That is to say, P(i + ^7) 
- A, where P is the annual premium, A the single premium, and a 
the annuity value. We may put this another way and say that the 
single premium divided by the annuity value plus i equals the 

annual premium or P = ^ . 

I +« 

We have just seen, however, that the single premium A can be 

expressed in terms of an annuity-value forA= i^d(i -{-a)- hence 

I + a I ^ a ' 

(37) 



'HI 



I 



t 'I 

I 



INTRODUCTION 



If, therefore, we wish to know the annual premium for the assur- 
ance of ;£"i at death on a life aged 40 according to the Actuaries 
Table at 3 % we have 

I + a= 181 76 (p. 142), 

-J — —^-^—~ = -05502, 
I +a 18176 ^^ 

— d= '05502 — '02913 = '02589, which is the annual pay- 



I 4- « 



ment during life to secure ;^i at death given on p. 150. 

If we make use of the Annual Premium Conversion Table on 
p. 186, we can only approximate to this result. The Conversion 
Table is only a short one and deals with the annuity value to the 
first decimal place. Looking on Hne * 17 — i7'9,' column 'i, we find 
that the annual premium corresponding to an annuity value of i7'i 
is '026 1, which is a larger amount than the true value. If we look 
on the same line in column '2 we find the annual premium corre- 
sponding to an annuity value of 17*2 is '0258, which is less than the 
true value. The annuity value being 17-176 is approximately ^ of 
the way between these two amounts, so that if we take f of their 
difference, which is '0003 x | equals -0002, and subtract it from 
•0261, we have -0259, which corresponds very nearly with the annual 
premium given on p. 150. 

In the Annual Premium Conversion Table we have no differences 
to deal with of the same kind as we have in the Single Premium 
Conversion Table. What we are concerned with in the Annual 
Premium Conversion Table is the variation in the rate of discount. 
If we want to know the annual premium to assure j£i at death on 
a life aged 40, according to the Hm Table, with interest at 4 % 
instead of at 3 %, as previously, we must take the 4 % annuity 
value from p. 142, where it is given as 15 135, find from p. 186 the 
annual premium corresponding to this annuity value, which is -0329, 
and subtract from it -0093 (difference p. 186), so obtaining -0236 as the 
annual premium at 4 %, which corresponds fairly well with the amount 
given on p. 150. If a closer approximation to the truth is required it 
can be obtained, as mentioned above, by adding i to the annuity value, 
dividing unity by this amount, and subtracting the rate of discount 
given on p. 123. Thus, to repeat the last example, we have the 
annuity value 15-1347, which with i added amounts to 161347. 
Dividing unity by this amount, we have -06198, and subtracting the 
rate of discount '03846 we obtain -02352, which is the exact amount 
given on p. 150. Repeating the calculation in connection with the 
symbols we have 



P= 



i+« 



-d=: 



16-1347 



I 



— -03846= 06 1 98— 03846 =-0235 2. 
(38) 



POST OFFICE ANNUITIES AND ASSURANCES 

Annual premiums, like single premiums, may be obtained from 
annuity values in this way in connection with single lives, joint lives, 
the last survivor or survivors of any number of lives, and successive 
lives. The premiums for contmgent assurances cannot be obtained 
in this way. 



Post Office Annuities and Assurances 

Hitherto we have been considering the values of annuities and 
other benefits on what may be called a theoretical basis. That is 
to say, we have been supposing deaths to occur in exact accordance 
with certain mortality tables, and interest to be earned at various 
specified rates. 

We have now to consider the terms on which annuities and 
other benefits can be obtained from various Government Depart- 
ments. Page 189 gives the cost of immediate life annuities of £1 
per annum when purchased through the Post Office. A distinction 
is made between the cost of annuities on male and female lives, and 
the annuities are payable by half-yeariy instalments on January 5 
and July 5, or April 5 and October 10, according to the date of 
purchase, the first half-yeariy instalment becoming due on the 
second quarteriy day of payment next following the day of purchase. 
The table gives the cost of an annuity of ;^i, and an annuity of a 
larger amount costs a larger sum in exact proportion. For instance, 
an annuity of ^10 a year would cost ten times the amount given in 
the table. 

The cost of deferred life annuities under which the purchase 
money will be returned on application or on the death of the 
nominee if an instalment of the annuity shall not have become 
due, is given on p. 190. The annuities are payable half-yeariy, the 
first payment of the annuity being made six months after the number 
of years they are deferred has expired. Thus the first payment 
under an annuity deferred 10 years will become due and payable on 
the second quarteriy day of payment next following the expiration 
of ten years. 

The Table of Annual Payments shows the amount of each 
annual payment that has to be made for a number of years exceeding 
by one the number of years the annuity is deferred, Thus if the 
annuity is deferred ten years, 1 1 payments have to be made ; if it is 
deferred twenty years, 2 1 payments have to be made, and so on. 

On p. 191 a corresponding table is given, showing the cost of 
deferred life annuities under which the purchase price is not return- 
able in the event of the life on which the annuity is granted ceasing 
before the first payment of the annuity becomes due. 

(39) 



I 



■>\\ 



« 



i^: 



i 



INTRODUCTION 

Pages 192- 194 give the premiums for life assurance effected through 
the Post Office. It will be noticed that the sum assured is sometimes 
payable at death and sometimes payable in various numbers of years 
after being effected or at death if previous. The annual premiums 
for life assurances given on p. 194 differ, in regard to assurances pay- 
able at a certain age, from the ordinary practice of life assurance 
companies. The great majority of life assurance offices, when they 
assure an amount payable at a specified age or at death if previous, 
only require as a maximum number of payments the difference 
between the age at entry and the age at maturity. Thus an endow- 
ment assurance effected by a man aged thirty, payable at age sixty 
or at death if previous, only calls for (60 — 30 =)3o annual payments 
in the eventof the assured surviving till the age of sixty, while Post 
Office assurance in such a case as this would require 31 annual 
premiums to be paid. 

Government annuities are also granted by the National Debt 
Office, and are made chargeable upon the Consolidated Fund of the 
United Kingdom. Further particulars in connection with these 
annuities are given at the bottom of the table on p. 195. 



i 



Annuities and Assurances Granted by Life Offices 

It is probable that any person wanting to purchase an annuity or 
to assure to the best advantage would go to a well-established life 
assurance company rather than to a Government department. He 
would obtain much better value for money by so doing, and the 
security offered by the best life offices is so ample and altogether 
beyond question that no advantage attaches to Government guarantee 
as compared with the guarantee of first-class life assurance companies. 
The rates given on p. 196 for annuities and assurances granted by 
British life offices are only the average rates. Many companies of 
the highest standing guarantee these benefits on terms much more 
favourable than the average. 

Details for each company may be obtained from various publica- 
tions, such as Whitaker's Almanack. They are also given, much 
more fully, in Bourne's ' Insurance Directory ' and Bourne's ' Assur- 
ance Manual.' 



r¥ 



INCOME TAX 

The Income Tax Tables on pp. 198-204 require little explana- 
tion. The amounts are arrived at by multiplying the income by the 
pence in the tax per pound, and dividing the result by 12 and 20 to 
obtain the answer in pounds. Thus the income tax on ;^i30 

(40) 



^v= 



LOGARITHMIC TABLES 

J", d £ s. a, 
at $d, = -^5 3 = 54 2 = 2 14 2 ; 

12 -r > 

at6</. = '3ox_6^6s = 3 S o? 



12 



of M^ 130 X 7 

at ^d. = _^— / = 75 10 = 3 15 10 ; 



12 



at 8^. = L3?^li = 86 8 = 4 6 8: 

12 ^ ' 

at 9^. = -3--^ = 97 6 = 417 6. 

12 T / 

If it is desired to find the income tax on other amounts than 
those quoted, may easily be done by addition. Thus the tax at 
1^' on ;^i,493 is 

€ £ s. d. 

on 1,490 (p. 202) 43 9 2 

on 3 (p. 198) 19 



on 1,493 



4310 II 



If the tax is desired at a rate not given in the tables, it can 

be obtained by addition or subtraction. Thus the tax on /'680 
at 11^. is 

£ £ s. d. 

on 680 at 6d. (p. 200) 17 00 

on 680 at ^ (p. 200) 14 3 4 

on 680 at 11^. 31 3 4 



m 



LOGARITHMIC TABLES 

On pp. 230-320 there are various logarithmic tables by means of 
which many calculations required to be made by users of this book 
can be performed with the greatest ease. These tables are fully 
explained on pp. 207-228, and with the explanation there ^ven the 
logarithmic tables may readily be employed by people previously 
unacquainted with logarithms. It cannot be too strongly urged 
upon everybody who has calculations to make that logarithms offer 
a very short and at the same time quite simple means of performing 
calculations that without their aid frequently involve long and tedious 
processes. 

EXAMPLES 

On pp. 42-48 a collection of examples is given showing some of 
the many purposes to which the tables in this book may be applied. 
These, in conjunction with the explanations already given, will, it is 
hoped, make the use of the tables perfectly clear, and at the same 
time show how many results not specifically tabulated may be 
arrived at 

(41) 



i'1 



\\- 






I 

i 






i i 



I 



EXAMPLES 
Amount of a Sum in Any Number of Years 

(i) Jund the amount of jQ^^'j at the end of '^^ years at 2^%. 

I in 35 years= 2*17879 
437 in 35 years=2-i7879X437=;g 952-i3i23 



or 



437=log 2-640481 
I in 35 years=log 0*338216 

437 in 35 years=log 2*978697= ^952*13 



(2) Required^ the amount of jQ62^ in 127 years at 4^ %, 

I in 100 years = 81*58852 

I in 27 „ = 3*28201 

I in 127 years= 81*58852x3*28201= 267*77434 

625 „ 127 „ =26777434x625 =^£ 167358-96250 



or 



625=log 2795880 
I in 127 years=log 0*01911629 X i27=log 2*427769 

625 in 127 ye^s=log 5*223649= ^167359 



(3) Find the amount of ^475 in 30 years at 2,^^=2*7 %. 

475=Iog 2*676694 
I in 30 years=log 0*01 157044 x 3o=log 0*3471 13 

475 in 30 years=log 3'0238o7=^io56-35 



or 



I in 30 years at 2*75 %= 2*25660 
I ., ., 2*5 %=2*09757 



II 



» 



Diflrerence=o*i5903-j-5 =0*03181 
I in 30 yrs.at 2-7 = 2*25660 — 003181 = 2*22479 
475 in 30 ytiars =2*22479 x 475 =^ 105678 approximately 

(42) 



See p 
60 



242 
277 
264 



73 
72 



250 
318 

232 



244 
319 

231 

64 
62 



EXAMPLES 

(4) Fiftd the rate of interest at which £$-^0 must be invested 
in order to amount to ;£3,ooo in So years. 

If 530 amounts to 3,000 

, „ „ 3>?op^ 

53° 
This is between 2 % and 2J %, but nearer 2 J- %. 



or 



3, ooo=log 3*477121 . 
53o=log 2*724276 
I in 80 years = log 0*752845 

I „ I year =log o*752845-j-8o=log 0*00941 1 = 1*0219 
The rate of interest therefore is 2-19 %. 



Present Value of a Sum to be Received 

in the Future 

(5) // is required to know the present value of jC^^S *<> ^<? 
received at the end of yj years, reckoning interest at 4 %. 

Present value of i in 37 years = '2343 

II II 913=23430 X 9i3=; £^2i3*9i59 



or 



91 3=log 2*960471 
I in 37 years=log o*-log o*630234=log 1*369766 

913 in 37 years=log 2*330237 ^213*92 



(6) Find the present value of £1^0 due in 30 years at 4 J %. 

j,.r r . , , 350 = l0g 2*544068 

r. V. of I m 30 yrs. =log o* — log 0-5 26650 

=log i' 47335Q 
Present value of 350 in 30 years=log 201 7418=;^ 104-1 



or 



Present value of i at 4 %= -30832 
11 11 I n a\ %= '26700 

Difference=-o4i32-r-4=-oro33 
Present value of i at 4^= •30832— ;o 1033 =29799 

i» >» 350= '29799 X 350- ^1043 approximately 



<7) At the end of 20 years an institution will enter into 
possession of a property which, it is agreed, will then be worth 

(43) 



Sup, 
86 

238 
246 

216 



70 

262 
291 

235 



240 

292 

230 

70 
72 



^ 



EXAMPLES 

;£"5,ooo. Meantime it receives no income^ but must spend ^ 
;^ioo upon the property at the end of 5 years ^ jQioo in 
10 y ears ^ and £^\oo in 1$ years. Find the present value 
of the property^ reckonifig interest at ^ %. 

Present value of 5,000 in 20 years=*55368 x 5000=2768*4 

100 „ 5 „ =86*261 



it 
» 

>9 



100 
100 



»» 



») 



10 
15 



»> 



11 



If 



= 74*409 
= 64*186 



expenditure =224*856 = 224*9 

property according tp conditions =;^2q43-5 



(8) Find the present value of jQiyOoo due at the end of 120 

years at 2\ %, 

P.V. of 1,000 due in 100 years =84*65 

» 84-65 „ 20 „ =8465 X -61027=^ 51^59 

or 

iooo=log 3*0 

P.V. of I in I2oyrs.=log o* — log 1*286864 

(year 12 log r" x 10) =log 2*713136 

Present value of 1,000 in 120 years =log i*7i3i36=;^5i-66 



Amount of j£i per Annum 

(9) Find the amount of jC^2tP^^ annum in 2^ years at 3^ %. 

Amount of ^^ i per annum in 27 years = jQ 4375906 
» ^93 = 4375906 X 93 = ^4069*59258 

or 

93 = log 1-968483 
Amount of i in 27 years = log 0-4033894 

„ I p. a. „ = log 1*237^785 

„ 93 p. a. in 27 years = log 3 "6095 51 = ^4069-59 



(10) Find the amount of^-jT^Sper annum in ^4 years at 2| %. 
£7S5 P- a. in 34 years at 2J ?^=log 4*6i7542i = ^4'45i-68 



or 



£1 per annum at 3 % = 57*73018 
£1 per annum at 2f% = 55*10023 

Difference = 2*62995 
(44) 



Seep. 
66 
66 
66 
66 



63 
62 



279 
247 



68 



262 

287 
224 
287 

243 



225 

66 
64 



EXAMPLES 

£1 p.a. at 2|+^ ciifr.=55-ioo23 + r3i497=S6*4iS2o 

^735 at 2j % =56*4152 X 735 = ^^41465 roughly. 

The error here is considerable. Taking half the difference 
between 2 J and 3 % to obtain 2 J % is only a means of 
roughly approximating to the correct amount. 



Present Value of Annuity 

(11) Find the present value of £4 7*25 per annum for 30 years 

<^t 5 .%• 
P.V. of ;^i per annum = 15*37245 

»> ;£47'25 per annum= 15*37245 X47*25=^72£34i 
or ^— ^ 

Log 11867434-log 1*674402 -log 2*861145=^ 726*35 



(12) Find the value of a lease yielding jQi^tl P^^ annum for 
27 years to make 3 % and to get back the principal by the 
end of the term. 

£1 p.a. for 27 years=^i8*32703 or 18*32703 yrs. purchase 

v^i37 », 11 = 18*32703x137= ^2510*8 
or 

i37=log 2*136721 
£1 p.a, for 27 years=log 1*263092 

^137 i> ,» =^ log 3*399813=^2510:8 



(13) Find the present value of £1 per annum for i^ years at 

37 %. 
Present value=log 1*40235 5 5 =^25^25^ 



(14) Jf leasehold property yielding a net annual income of 
£\oo a year for ^o years is bought for £2^000^ find the 
yield per cent. 

If ^100 per annum costs ^2,000,^1 per annum costs ^20. 

This is seen to be between 2 j and 3 % 
or 

£\ p.a. costs ;^2o=log 1*30103 

log o — log 1*30 1 03= log 2 69897 

2J %=log o— log 2*7oo69 = log li*2993i = 19*92 
This is very close to 20, and therefore the required rate is 
a trifle less than 2\ %. 

^ (45) 



Seep. 

74 



223 



66 



230 
283 

236 



224 



92 

234 
222 

282 



i 

■I 

i! 

i 



I 



I? 






^ ■ ' EXAMPLES 

Present Value of a Perpetuity 

(15) Jund the value of a perpetuity of JP^do a year ^ reckoning 

interest at 3I %. 

29*62963 X 60= 17777778 



(16) Find the value of a property yielding ^25 per annum 
for the next 15 years and £^\\o in perpetuity thereafter^ 
reckoning interest at ^%. 

Take the value of a perpetuity of j£iio per annum and 
deduct the value of (no — 25 ^)^85 per annum for 15 years. 

Perpetuity =33 x 1 10= 3666*666 
P.V. of ;^85 p. a. for 15 years=ir93794 x85= 1014725 

Value required = ;£^2 65 1 '94 1 
or 
P.V. of;^25 p. a. for 15 years=ii'93794X 25= 298*448 
P.V. of perpetuity ^no deferred 15 years 

= 21-39539x110= 2353*493 

Value required =/^265r94i 



(17) Find the value of the reversion to a perpetuity of jQ^()6 
per annum after 22 years at 2^%. 

Value of perpetuity of ^i at 2| %= 3^*09524 
P.V. of ;;^i p. a. for 22 years at 2j%=i6'7654i 
» ,» » 2I %= 16-34350 

Difference = '42191 
P.V. at 2 J % (=16-34350-1- -2 1095)= 16*55445 

Approximate P.V. of perpetuity of ;^i p. a. at 

2| % deferred 22 years= 21-54079 
Approximate P.V. of perpetuity of ;£^496 p. a. 

at 2| % deferred 22 years = 2 1 54079 x 496 =^10684 



>' 



or 

Value of perpetuity at 

2i %=38-0952 
P.V. of j£i p. a. for 
22 years at 2^ % 

=log 1-2188635 = 16-5525 

P.V. of perp. deferred 

22 years=2i*5427 = log 1*333300 
496=log 2*695482 
P.V. of perp. of ^496 
deferred 22 years at 

2| % =log 4-028782= ^x0685 

(46) 



Seep. 
94 



94 
66 



66 



97 



94 
62 

64 



94 

280 

234 
244 

231 



EXAMPLES 

Sinking Fund I 

(18) Find the sum to be set aside annually to amount to jCts^ 
in 30 years reckoning interest at 4 %. 

The sum to amount to ;^i= ^^'01783 

»» .» ;^75o='oi783 X 75o= ;^i3-3725 P- a. 

or 750 = log 2*875061 

Annuity 1 will buy = log 2-762154 

»>. 750 „ = log 1-637215= 43*373 
Deduct 4 % on 750 = -04 x 750 = 30000 

Annual sum to amount to ;;^75o in 30 years = ^13*373 



Annuity a Given Sum will Purchase 

(19) Find the annuity for 35 years that may be bought for 
;^i»573) reckoning interest at 3^ %. 

1573 =log 3*196729 
Annuity i will buy = log 2*698956 

». 1573 
or 



= log I -895685 = ^^78*6475 
20*00066 will buy an annuity of ;jg"i p. a. 



1573 will buy an annuity of l^JA = /■78*6474 

20*00066 -^— ™— 1™ 



Annuities and Assurances on Lives 

(20) Find the value of an annuity of £2^0 on the life of a male 
aged 45, according to the Government Experience Table at 
3%. 

Value of ^ I p. a. = £iy^S2 

»» ;^250 „ = 15*152 X 250 = ^3788 



(21) Find the value of £1,^00 to be received at the death of a 
male aged 50, according to the Healthy Males Table at 
3i%. 

•52023 X i5oo = ; »g78o*345 

(22) Find the annual payment to secure ^^1,500 at the death 
of a male aged 50, according to the Healthy Males Table at 
3i%. 

•03667 X 1500 = ^55-005 



^ 



(23) Find the value of the reversion to a perpetuity of £\oq 
per annum at the death of a male aged 60, according to the 
Government Experience Table at 3 %, and accordinz^o the 
Healthy Males Table at ^%. 

(47) 



Seep, 
112 

256 
291 

243 



232 
287 

256 

68 



144 



T48 



150 



EXAMPLES 



( 



' 



i 

i 



By Government Experience 22732X 100 = ;^2273'2 

By Healthy Males — 

Value of a perpetuity of 100 = • 3333*3 
100 p. a. for life = 102 36 



» 



n 



deferred perpetuity = ;^23097 



(24) Find value of annuity of ;^i35 so long as two female 
lives ^ aged 25 and 45, both continue to live. Government 
Table 3 %. 

14-650 X I35=; ^i97775 



(25) Find value of annuity of £^2^0 so long as either of two 
male livesy aged 30 and 50, continue to live. Healthy Males 
Table 3i %. 

197251 X 250 = ^4931-275 



(26) Find the single payment to secure ;^i,25o {a) at the death 
of the first and {8) at the death of the last of two male lives^ 
aged 45 and 60. Healthy Males Table 4 %. 

{a) At death of first '64328 x 1250 = ;^8o4i 

{b) „ „ last 3814 X 1250 =^4767^ 



Single and Annual Premiums by Conversion Tables 

(27) Find the single payment to secure ;^i,ooo at death of 
a person aged 43. Northampton Table 3 %. 

Annuity on life aged 43 = 14" 162 
Single payment for annuity of 14 =, '5631 1 



» 


»» 


>» 


»l 


»> 


» 


») 


)) 


>} 



•I =00291 
•06 =001748 
•002 = 000058 



•00472 



» 



)> 



„ I4I62 = -55839 

Single payment to secure 1,000 = ;655^ 39 



or 



1000 [i — 029126 (14-162 + i)] = ;^558-39i6 



(28) Find the annual payment to secure £1^000 at the death of 
a person aged 43. Carlisle Table 4 %. 

Annuity on life aged 43 = 14*505 
Annual premium for annuity of 14*5 = 0354 — 0093 = -0261 
)} » ;^i,ooo at death = ;^26-i. 

^^ (j^.-— ^ --03846^ = 64-50 -38-46 = ^26-04 

(48) 



1000 



Seep. 

94 
143 

28 



158 



173 



169 
176 



138 
18s 

'8s 
i8s 
185 

36 



37 



140 
186 



37 



• 1 

i 



INTEREST TABLES 



AMOUNT AND PRESENT VALUE 

OP 

ONE POUND 

AND OP 

ONE POUND PER ANNUM 

VALUES OF PERPETUITIES AND REVERSIONS 
NOMINAL AND EFFECTIVE RATES OF INTEREST 

AND OTHER TABLES 



For explanation see pp. 8-23 



4» 



B 



, 



1°/. 



INTEREST TABLES 





ONE FOUND 


ONE POUND ] 


PEB ANNUM 




Years 










Y^u'fl 




Amount 


Present Value 


Amount 


Present Value 


X 6VUV 


I 


I'OIOOO 


•99010 


i-ooooo 


0-99010 


I 


2 


I '02010 


•98030 


2'OIOOO 


1-97040 I 


2 


3 


I -03030 


•97059 


3-03010 


2-94099 1 


3 


4 


1*04060 


•96098 


4-06040 


3-90197 


4 


5 


1-05101 


•95147 


5-10101 


4-85343 


5 


6 


1-06152 


•94205 


6^1 5202 


579548 


6 


7 


I -07214 


•93272 j 


7-21354 


6-72819 


I 


8 


I -08286 


•92348 1 


8^28567 


7-65168 


9 


1-09369 


-91434 


9-36853 


8-56602 1 


9 


10 


1-10462 1 


•90529 


10-46221 


9^47 1 30 


10 


II 


I -1 1567 


•89632 


1 1 -56683 


10-36763 


II 


12 


I -12683 


•88745 . 


12-68250 


11-25508 


12 


13 


I -13809 


•87866 ' 


13-80933 


"2-13374 


13 


14 


I -14947 


•86996 


14-94742 


13-00370 


14 


15 


I -16097 


•86135 


16-09690 


13-86505 


15 


i6 


1-17258 


•85282 


17-25786 


14-71787 


16 


17 


1-18430 


•84438 


18-43044 


15-56225 


n 


i8 


1-19615 


•83602 


19-61475 


16-39827 


18 


19 


I -2081 1 


-82774 


20-81089 


17-22601 


19 


ao 


I -22019 


•81954 


22-01900 


18-04555 


20 


31 


I -23239 


•81 143 


2323919 


18-85698 


21 


22 


I •2447a 


•80340 


24-47159 


19-66038 


22 


23 


I -25716 


'79544 


25-71630 


20-45582 


23 


24 


1-26973 


•78757 


26-97346 


21-24339 


24 


25 


I -28243 


•77977 


28-24320 


22-02316 


25 


26 


I 29526 


•77205 


2952563 


22-79520 


26 


^ 


I -30821 


•76440 


30-82089 


2355961 


27 


28 


I -32129 


•75684 


32-12910 


24-31644 


28 


29 


1-33450 


74934 


33-45039 


25-06579 


29 


30 


I 34785 


•74192 


34-78489 


25-80771 


30 


31 


1-36133 


73458 


36^13274 


26-54229 


31 


32 


I -37494 


•72730 


37-49407 


27-26959 


32 


33 


I -38869 


■72010 


38-86901 


2798969 


33 


34 


I 40258 


•71297 


40-25770 


28^70267 


34 


35 


1-41660 


•70591 . 


41-66028 


29^40858 


35 


36 


1-43077 


•69892 


43-07688 


30^10750 


36 




I -44508 


69200 


44-50765 


307995J 


37 


38 


1-45953 


•68515 


45-95272 


31-48466 


38 


39 


I -47412 


•67837 


47-41225 


32-16303 


39 


40 


I -48886 


•67165 


48-88637 


32-83469 


40 


41 


I -50375 


•66500 


50-37524 


3349969 


i 41 


42 


I -51879 


•65842 


51-87899 


34-15811 


42 


43 


153398 


•65190 


53-39778 


34-81001 


43 


44 


1-54932 


•64545 


54-93176 


35-45545 


44 


45 


1-56481 


•63906 


56-48107 


3609451 


45 


46 


I 58046 


•63273 


5804588 


36-72724 


46 


47 


I 59626 


-62646 


59-62634 


3735370 


i^ 


48 


I -61223 


-62026 


61-22261 


37-97396 


49 


I -62835 


•61412 


62^83483 


38 58808 


49 


50 


I -64463 


•60804 


64-46318 


39-19612 


50 



For explanation see pp. 8- 13 



(50) 



■MriM 



INTEREST TABLES 



17« 



Tears 



ONE FOUND 



51 
52 
53 
54 
55 

56 
57 
58 

59 
60 

61 
62 

65 
66 

69 
70 

71 
72 
73 
74 
75 

76 

79 
80 

81 
82 

P 
84 

85 

86 

8: 



u 

89 

90 

91 
92 

93 
94 
95 

96 

97 
98 

99 
100 



Amount 



Present Value 



I -66108 
I ^67769 
I ^69447 
I-71141 
1-72852 

1-74581 
I -76327 
1-78090 
I -7987 1 
I -81670 

I -83486 
I -85321 
I -87 1 74 
I •89046 
1-90937 

I -92846 

I -94774 
I '96722 
I ^98689 
2^00676 

2^02683 
2^04710 
206757 
2^08825 

2^i09i3 

2-13022 
2-15152 
2-17304 

2-19477 
221672 

2-23888 
2^26127 
2 28388 
2^30672 
232979 

2-35309 
2 37662 
2 40038 

2-42439 
2-44863 

247312 

2-49785 
2-52283 

2 54806 
2-57354 

2-59927 
2-62527 
2-65152 
2 67803 
2-70481 



•60202 
•59606 
•59016 
•58431 
•57853 

•57280 

•56713 
-56151 

•55595 
-55045 

•54500 
•53960 
•53426 
•52897 

-52373 

•51855 

•51341 
•50833 

-50330 

•49831 

•49338 
•48850 

•48366 
•47887 

•47413 

•46944 
•46479 
-46019 

•45563 
•451 12 

•44665 
. -44223 
•43785 
•43352 
•42922 

•42497 
-42077 

-41660 

•41248 

•40839 

•40435 
-40034 

•39638 

•39246 

•38857 

•38472 
•38091 

•37714 
•37341 
•36971 



ONE POUND PER ANNUM 



Amount 



66^1078 1 
67^76889 
69-44658 

7i^i4io5 
72 •85246. 

74^58098 
76-32679 
78-09006 
79-87096 
81-66967 

83-48637 
85-32123 
87-17444 
89-04619 
90-93665 

92-84601 

94-77447 

96-72222 

98-68944 

100-67634 

102-68310 
104-70993 
106-75703 
108-82460 
1 10-91285 

113-02197 
115-15219 

117-30372 
119-47675 
121 -67152 

123-88824 
126-12712 
12838839 
1 30 '67227 
1 32 '97900 

135^30879 
137-66187 
140-03849 
142-43888 
144-86327 

147-31190 
149 "78502 
152^28287 
154-80570 

157-35375 

159-92729 
162-52656 
165-15183 
167-80335 
170-48138 



See also Tables on pp. xx-xxxi 



Present Value 

39-79814 
40-39419 

40-98435 

41-56866 

42-14719 

42-71999 
43^28712 
43-84863 

44-40459 
44-95504 

45 50004 
46-03964 

46-57390 
47-10287 
47-62661 

48-14516 
48-65857 
49-16690 
49-67020 
50-16851 

50-66190 

51-15039 
51-63405 

52-11292 

52-58705 

53-05649 
53-52127 

53-98146 

54-43709 
54-88821 

55-33486 

5577709 
56-21494 

56-64845 

57-07768 

57-50265 

57-92342 
58-34002 
58-75249 
59*16088 

5956523 

59-96557 
60-36195 

60-75441 

61-14298 

61-52770 
61-90862 
62 28576 
62^65917 
63^02888 



Years 



51 
52 

53 
54 
55 

56 
57 
58 

60 



61 

I 62 

65 
66 

67 
68 
69 
70 

71 
72 
73 
74 
75 

76 

79 
80 

81 
83 

5* 
85 

86 

u 

89 

90 

91 
92 

93 
94 
95 

96 

97 
98 

99 
100 



1 ■ 

I 



I ! 



(SI) 



B 3 



lk% 



INTEREST TABLES 



! 





ONE POUND 


ONE POUNB FEB ANNUM 




Years 

I 










Years 


Amount 


Present Value 


Amount 


Present Value 




I 01250 


•98765 


I'OOOOO 


0-98765 


I 


2 


I 02516 


•97546 


201250 


I -963 1 2 


2 


3 


I -03797 


•96342 


3-03766 


2-92653 


3 


4 


I "05095 


-95152 


4-07563 


3-87806 


4 


5 


I -06408 


• -93978 


5-12657 


4-81783 


5 


6 


I -07738 


•92817 


6-19065 


5-74601 


6 


7 


I 09085 


•91672 


7 -26804 


6-66273 


I 


8 


1*10449 


-90540 


8-35889 


7-56812 


9 


I -1 1829 


•89422 


9-46337 


8-46234 


9 


10 


I-13227 


•88318 


10-58167 


9-34553 


10 


II 


1-14642 


•87228 


1 1 -71394 


10-21780 


II 


12 


1-16075 


•861 5 1 


12-86036 


1 1 -0793 1 


12 


13 


1-17526 


•85087 


14-02112 


1 1 -93018 


»3 


M 


1 1-18995 


•84037 


15-19638 


12-77055 


M 


15 


1 I -20483 


•82999 


16-38633 


1360055 


15 


i6 


j 1-21989 


•81975 


17-59116 


14-42029 


16 


H 


1-23514 


•80963 


i8^8iio5 


15*22992 


\l 


i8 


I -25058 


•79963 


20^04619 


1602955 


19 


1-26621 


•78976 


21^29677 


16-81931 


19 


20 


I -28204 


•78001 


22-56298 


17-59932 


20 


21 


1-29806 


\ -77038 


23-84502 


18-36969 


21 


22 


1-31429 


•76087 


25 •14308 


19-13056 


22 


23 


I -33072 


•75147 


26^45737 


19-88204 


23 


34 


1-34735 


•74220 


27^78808 


20-62423 


24 


25 


I -36419 


•73303 


29-13544 


21-35727 


25 


26 


I -38125 


•72398 


30-49963 


22-08125 


26 


27 


I -39851 


-71505 


31^88087 


22 79630 


27 


28 


1-41599 


•70622 


33-27938 


23^50252 


28 


29 


1-43369 


•69750 


34-69538 


24*20002 


29 


30 


1-45161 


•68889 


36-12907 


24-88891 


30 


31 


I -46976 


•68038 


37-58068 


2556929 


31 


32 


I -48813 


-67198 


39-05044 


26-24127 


32 


33 


1-50673 


•66369 


40-53857 


26-90496 


33 


34 


1-52557 


-65549 


42-04530 


27-56046 


34 


35 


I -54464 


-64740 J 


43-57087 


28-20786 


35 


36 


I -56394 


-63941 


45-11551 


2884727 


36 


37 


1-58349 


-63152 ' 


4667945 


29-47878 




38 


1-60329 


•62372 


48-26294 


30-10250 


39 


I -62333 


•61602 


4988623 


30-71852 


39 


40 


I -64362 


•60841 1 


51-48956 


31 32693 


40 


41 


I -66416 


•60090 


53-13318 


31 92784 


41 


42 i 


I -68497 


-59348 


54-79734 


32-52132 


42 


43 ; 


1-70603 


•58616 i 


56-48231 


33-10748 


43 


44 


1-72735 


•57892 1 


58-18834 


3368640 


44 


45 


1-74895 


•57177 


59-91569 


34-25817 


45 


46 


1-77081 


•56471 


61 -66464 


34-82288 


46 


47 


I -79294 


•55774 


63-43545 


35-38062 


% 


48 


1-81535 


•55086 1 


65 22839 


3593148 


49 


1-83805 


•54406 1 


6704374 


36-47554 


49 


50 


1-86102 


•53734 ' 


68-88179 


37 01 288 


50 



For explanation see pp. 8- 13 



(52) 



INTEREST TABLES 



ir/< 



Years 



ONE POUND 



51 
52 

55 

54 
55 

56 
57 
58 



61 
62 

65 

66 

67 
68 

69 
70 

71 
72 

73 
74 
75 

76 

77 
78 

79 
80 

81 
82 
83 

^ 
85 

86 

87 

88 j 

89 I 
90 

91 
92 

93 
94 
95 

96 

97 
98 

99 
xoo 



Amount 



I I 88429 
I -90784 
1-93169 

I 95583 
I 98028 

2-00503 
2-03010 
205547 
208117 
2-10718 

2-13352 
2-16019 
2-18719 

2-21453 
2-24221 

2 27024 
2 29862 

2-32735 
2-35644 
2-38590 

241572 
2-44592 
2 47649 

2-50745 
2-53879 

2-57053 
2-60266 

2-63519 
266813 
2-70149 

273525 
2-76944 

2-80406 
2-83911 
2-87460 

2-91053 
2-94692 

2-98375 
3-02105 

3-05881 

3-09705 
3-13576 
.3-17496 
3-21464 

3-25483 

3-29551 
3-33671 
3-37842 
3-42065 

3-46340 



Present Value 

•53071 

•52415 
•51768 

-51 129 

-50498 

-49874 

-49259 
-48651 

'48050 
-47457 

•46871 
•46292 
•45721 
•45156 
-44599 

-44048 
-43504 
-42967 
-42437 
-41913 

•41395 
•40884 

•40380 

-39881 

•39389 

•38903 
•38422 

•37948 
•37479 
-37017 

-36560 
•36108 
•35663 
•35222 
•34787 

•34358 

•33934 

-33515 
•33101 

•32692 

•32289 
-31890 

-31496 
•3 1 108 
•30724 

-30344 
•29970 
-29600 
•29234 
•28873 



ONE POUND PEK ANNUM 

Present Value 



Amount 



See also Tables on pp. xx-xxxi 



70^74281 
72-62710 

74-53494 
76-46662 
78-42246 

80-40274 

8240777 

84-43787 

86-49334 
88-57451 

90-68169 
92-81521 

94-97540 
97-16259 

99-37713 

loi -61934 
103-88958 
106-18820 

108-51555 
110-87200 

113-25790 
1 15 67362 
118-11954 
120-59604 
123-10349 

125-64228 
128-21281 
130-81547 
133-45066 
136-11880 

138-82028 

141-55554 
144-32498 
147-12904 
149-96815 

152-84276 

155-75329 
158-70021 
161 -68396 
164-70501 

167-76382 
170-86087 
173-99663 

177-17159 
180-38623 

183-64106 
186-93658 
190-27328 
193-65170 
197-07234 



Years 



51 
52 

53 
54 
55 

56 
57 
58 

59 
60 

61 
62 

65 
66 



3754358 
3S06773 

38-58542 

3909671 
39-60169 

40-10043 
4059302 

41 07952 
41^56002 
42-03459 

42-50330 

42 96622 

43-42343 

43-87499 
44-32098 

44-76146 

45-19651 
45-62618 
46-05055 69 
46-46968 70 

46-88363 71 

4729247 72 

4769627 73 

48 09508 74 

48-48897 75 

48-87800 76 

49-26222 77 

49-64170 78 

50-01649 yn 

50-38666 io 

50-75225 81 

51-11334 82 
51-46996 83 
51-82219 84 

52-17006 8s 

52-51364 86 
52-85298 87 
53-18813 88 

53-51914 89 
53-84606 90 

54-16895 91 
54-48785 92 
54-80282 93 

55-11389 94 
55-42113 95 

55-72457 96 

56-02427 97 

5632026 I 98 

56-61261 99 

56-90134 ; 100 



(53) 






11°/ 




ONE P( 


INTEREST TABLES 








)UND 


ONE POUND PER ANNUM 




Years 










Tears 


Amount 


Present Value 


Amount 


Present Value 


I 


1-01500 


-98522 


I 00000 


098522 


I 


2 


I -03023 


•97066 


2^01500 


I -95588 


2 


3 


I -04568 


• -95632 


3-04523 


2 •91220 


3 


4 


I 06136 


-94218 


4 09090 


3^85438 


4 


5 


I -07728 


•92826 


5-15227 


4-78265 


5 


6 


I -09344 


•91454 


622955 


5-69719 


6 


7 


I -10984 


•90103 


7.32299 


6-59821 


I 


8 


1-12649 


•88771 


8^43284 


7-48593 


9 


I 14339 


•87459 


9-55933 


8-36052 


9 


10 


I -16054 


•86167 


10-70272 


9-22219 


10 


II 


I -17795 


•84893 


1 1 -86326 


IOO7II2 


II 


12 


I -19562 


•83639 


1304121 


10-90751 


12 


13 


I 21355 


•82403 


14-23683 


II-73153 


13 


14 


I -23176 


•81 185 


15-45038 


12-54338 


14 


IS 


I -25023 


•79985 


16-68214 


13-34323 


15 


i6 


I -26899 


-78803 


17-93237 


I4-I3126 


16 


\l 


I -28802 


•77639 


19-20136 


14-90765 


17 


1-30734 


-76491 


20-48938 


15-67256 


18 


19 


I 32695 


•75361 


21-79672 


16-42617 


19 


20 


I 34686 


-74247 


23-12367 


17-16864 


ao 

1 


21 


I -36706 


•73150 


2447052 


17-90014 


21 ! 


22 


1-38756 


-72069 


25-83758 


18-62083 


22 


23 


1-40838 


-71004 


27-22515 


19-33086 


23 


24 


I -42950 


-69954 


2863352 


20-03041 


24 


25 


1-45095 


•68921 


30 06302 


20-71961 


25 


26 


1-47271 


-67902 


31-51397 


21-39863 


26 


27 


I -49480 


-66899 


3298668 


22-06762 


U 


28 


1-51722 


•65910 


34-48148 


22*72672 


29 


1-53998 


-64936 


35-99870 


23-37608 


29 


30 


1-56308 


-63976 


37-53868 


24-01584 


30 


31 


I 58653 


-63031 


39-10176 


24-64615 


31 


32 


1-61032 


-62099 


40-68829 


25-26714 


32 


33 


1-63448 


-61 182 


42-29862 


25-87896 


33 


34 


1-65900 


•60277 


43-93309 


26-48173 


34 


35 


1-68388 


•59387 


4559209 


27-07560 


35 


36 


1-70914 


•58509 


47-27597 


27 66068 


36 




1-73478 


•57644 


48-98511 


28-23713 




38 


1-76080 


•56792 


50-71989 


28-80505 


38 


39 


I -78721 


•55953 


52-48068 


29-36458 


39 


40 


I -81402 


•55126 


54-26789 


29-91585 


40 


41 


1-84123 


•54312 


5608191 


30-45896 


41 


42 


I -86885 


•53509 


57-92314 


3099405 


42 


43 


I -89688 


•52718 


59-79199 


31-52123 


43 


44 


1-92533 


•51939 


61-68887 


32-04062 


44 


45 


I -95421 


•51171 


63-61420 


32^55234 


45 


46 


1-98353 


•50415 


65-56841 


33^05649 


46 


:? 


2-01328 


•49670 


67-55194 


33^55319 


47 


2-04348 


•48936 


69-56522 


34-04255 


48 


49 


2-07413 


•48213 


71-60870 


34-52468 


49 


s> 


2-10524 


•47500 


73-68283 


34-99969 


SO 



For explanation see pp. 8-13 



(54) 



INTEREST TABLES 



Ymn 



51 
52 

53 
54 
55 

56 
57 
58 

60 

61 
62 
63 

65 

66 

57 
68 

69 
70 

71 
72 
73 
74 
75 

76 

81 
82 

P 

85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 

U 

99 
100 



ir/o 



ONE POUND 



ONE POUND PEE ANRUK 



Amounfc 

2 •13682 
2^16887 
2-20141 

2-23443 
2-26794 

2 30196 

2-33649 

2-37154 
2 -407 1 1 

2-44322 

247987 
2-51707 
2-55482 

2-59314 
2 -63204 

2-67152 
2-7II60 
2-75227 

2-79355 
2^83546 

2-87799 
2-92116 
2-96498 
3-00945 

3^05459 

3'ioo4i 

3 •14692 
3-19412 
3-24203 
3-29066 

3-34002 
3-39012 
3-44097 
3-49259 
3-54498 

3-59815 
3-65213 
3-70691 
3-76251 
3-81895 

387623 

393438 

3-99339 
4*05329 

4-1 1409 

4-17580 
4-23844 
4-30202 
4^36655 
4*43205 



Present Value 



•46798 
•46107 
•45426 
•44754 
•44093 

-43441 

•42799 
•42167 

•41544 
-40930 

-40325 

•39729 
•39142 
•38563 
•37993 

•37432 

•36879 

•36334 

•35797 
•35268 

•34746 

•34233 
'33727 
•33229 

'3273^ 

-32254 

-31777 
•31308 
•3084s 
•30389 

-29940 

•29497 
•29062 

•28632 

•28209 

•27792 
•27381 
•26977 
•26578 
•26185 

•25798 

-25417 
•25041 

•24671 
•24307 

•23947 

•23594 
•23245 

•22901 

•22563 



See also Tables on pp. xx-xxxi 



Amount 



Present Value 



75'7SSo7 

77^92489 
80-09376 
82-29517 
84-52962 

86-79754 
89-09951 

91 -43600 

93-80754 

96-21465 

98-65787 
loi -13774 

103-65481 
106-20963 
108-80277 

III -43481 
114-10634 
i 116-81793 
1 19^57020 
122-36375 

125-19921 

128-07720 

130-99836 

133-96333 
136-97278 

140-02737 
143-12778 
146-27470 
149-46882 
152-71085 

156-00152 

159-34154 
162-73166 

166-17264 

169-66523 

173-21020 
176-80836 
180-46048 
184-16739 
187-92990 

191-74885 
195-62508 

199-55946 
203-55285 
207-60614 

211-72023 
215-89604 
220*13448 
224-43650 
228 -80304 



35-46767 
35-92874 
36-38300 
36-83054 

37-27147 

37-70588 

38-13387 

38-55554 
38-97097 

39-38027 

39-78352 
40-18080 
40-57222 
40-95785 
41-33779 

41-71211 
42-08089 

42-44423 
42*80220 

43-15487 

43*50234 

4384467 
44-18194 
44*51422 
44-84160 

45*16414 
45-48191 

45-79499 
46-10343 

46-40732 

46-70672 
47*00170 

47 '2923 1 
47^57863 
47^86072 

48-13864 
48-41246 
48-68222 
48-94800 
49-20985 

49-46784 
49-72201 

49-97242 
50-21913 

5046220 

50-70168 
50-93761 
51-17006 

51*39907 
5i^6247o 



Years 



51 
52 

53 

54 
55 

56 
57 
58 

61 
62 

63 

i 65 

i 66 

67 
68 

69 
70 

71 
72 

73 
74 
75 

76 

77 
78 

P 
80 

81 
82 

84 
85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 



u 

99 
100 



V] 



(55) 



ir/< 



INTEREST TABLES 



INTEREST TABLES 



Years 



I 

2 

3 

4 
5 

6 

I 

9 

10 

II 

12 

13 
14 
IS 

i6 

\l 

19 
20 

21 



ONE POUND 



23 

24 

25 
26 

29 

30 

31 
32 

33 
34 
35 

36 



39 
40 

41 
42 

43 
44 
45 

46 

47 
48 

49 
5P 



Amount 



1 01750 
I 03531 
I 05342 
1-07186 
1-09062 

I -10970 
I'I29I2 
1-14888 
I -16899 
1-18944 

I -21026 
I -23144 
I -25299 
I -27492 
I 29723 

1-31993 
I 34303 
I 36653 

I 39045 
1-41478 

1-43954 

I -46473 
I 49036 
1-51644 
I 54298 

I 56998 

1-59746 
I -62541 

1 65386 
I 68280 

I -71225 
I -74221 
1-77270 
I -80372 
1-83529 

I -86741 
1-90009 

1 -93334 
1-96717 

200160 

2 03663 
2 07227 
2-10853 

2-14543 
2-18298 

2-22118 
2-26005 
2 29960 

233984 
2-38079 



Present Value 

•98280 
•96590 
•94929 
•93296 
•9169I 

-901 14 
-88564 
-87041 
•85544 
•84073 

-82627 
-81206 
-79809 

•78436 
'770S7 

•75762 

-74459 
-73178 
-71919 
-70682 

-69467 
-68272 i 
•67098 i 
•65944 
•64810 I 

-63695 
•62599 

•61523 

-60465 

-59425 j 

-58403 
•57398 
•5641 1 

-55441 
-54487 

-53550 
-52629 

•51724 
•50834 

•49960 

-49IOI 
-48256 
-47426 
-4661 1 
•45809 

•45021 

•44247 
-43486 
-42738 
•42003 



ONE FOUND FEB ANNUM 



Amount 



I-OOOOO 
2-01750 
3-05281 
4-10623 
5-17809 

6-26871 

7-37841 

850753 
9-65641 

10-82540 

12-01484 
13*22510 
14-45654 

15-70953 
16-98445 

18-28168 
I9-60161 
20-94463 
22-31117 
23-70161 

25 11639 

26-55593 
28-02065 
29-51102 
31-02746 

32-57044 
34-14042 
35-73788 

37-36329 
3901715 

40-69995 
42-41220 

44-15441 
45-92712 

47 73084 

49-56613 

51-43354 
5333362 
55-26696 

57-23413 

59-23573 
61 -27236 

63-34462 

65-45315 
6759858 

6978156 
72 00274 
74-26278 
76-56238 
78-90222 



Present Value 




0-98280 
1 -94870 
2-89798 
383094 
474786 

5-64900 

653464 
7-40505 
8-26049 
9-10122 

992749 

iO'7395S 
1 1 53764 
12^32201 
13 09288 

13 85050 

14 59508 

15 32686 
16^04606 
16-75288 

17^44755 
1813027 
1880125 
19-46069 

20 10878 

20-74573 

21-37173 

21 98695 

22-59160 
2318585 

23-76988 
2434386 
24-90797 
25-46238 
26-00725 

26-54275 
27-06904 
27-58628 
28 09463 
28-59423 

2908524 
29-56780 
3004207 
3050817 
3096626 

31-41647 
31-85894 

32-29380 

32-72118 

3314121 



I 

2 

3 
4 
5 

6 

I 

9 
10 

II 
12 

13 
14 
15 

16 

17 
18 

19 
20 

21 
22 

23 
24 

25 
26 

29 
30 

31 
32 
33 
34 
35 

36 
^7 
38 

39 
40 

41 

42 

43 
44 
45 

46 
47 
48 

49 
50 



U% 



Years 



ONE FOUND 



51 
52 

53 
54 
55 

56 
57 
58 

& 

61 
62 

65 
66 

67 
68 

69 

70 

71 
72 

73 
74 
75 

76 

U 

81 

82 , 
83 

^ 
85 

86 
Si 



u 

89 

90 

91 
92 

93 
94 
95 

96 

U 

99 
100 



ONE FOUND FEB ANNUM 



Amount 

2-42245 
2-46485 
250798 
2-55187 

259653 
2-64197 
2-68820 

2-73524 
2-78311 
2-83182 

2-88137 
293180 
2-98310 

303531 
3-08843 

3 14247 
3 19747 
325342 
331036 
336829 

342723 
348721 
3^54824 
361033 

3-67351 

3-73780 
380321 
386977 

3 93749 
400639 

4-07650 

4-14784 
4*22043 

4 29429 
4-36944 

4-44590 

4-52371 
4 60287 

4-68342 

4-76538 

4-84877 

4^93363 
501997 

5^10782 

5 '19720 

5-28815 
538070 
5^47486 
5^57067 
5-66816 



Present Value 

-41280 
•40570 

'39S73 
•39187 
•38513 

•37851 
•37200 
•36560 

•35931 
•35313 

•34706 
•34109 
•33522 
•32946 
•32379 

• 

•31822 

•31275 
-30737 
•30208 
•29689 

•29178 
-28676 
•28183 
-27698 
-27222 

-26754 
•26294 
•25841 

•25397 
•24960 

•24531 
•24109 

•23694 

•23287 

•22886 

•22493 
-22106 
-21726 

•21352 
•20985 

-20624 
-20269 
-19920 
•19578 
•1924 1 

-18910 
•18585 
•18265 

•17951 
•17642 



Amount 



For explanation see pp. 8-13 



81 •28301 

83^70547 
86-17031 

88-67829 

91-23016 

93^82669 

96-46866 

9915686 

101*89210 

104*67522 

107*50703 
110-38841 
113-32020 
116*30331 
119-33861 

122*42704 

12556951 
128-76698 

132*02040 

13533076 

138-69905 
142 1 2628 
14561349 
149-16173 
15277206 

156-44557 
160-18336 
163-98657 
167-85634 
171-79382 

175^80022 
179^87672 
184-02456 
1 88 ^24499 

192-53928 

196-90872 
201 35462 
205-87833 
210*48120 
215-16462 

219-93000 
224*77877 
229*71240 

234-73237 
23984018 

245^03739 
250-32554 
25570624 
261-18110 
266-75177 



Present Value 



(56) 



See also Tables on pp. xx-xxxi 



33-55401 
33-95972 

34-35845 
34-75032 

35^13545 

35^51395 
35-88595 

36-25155 
36-61086 
3696399 

37*31104 
37-65213 

37-98735 
38-31681 

38-64060 

3895882 
39-27157 

39-57893 
39 '88102 
40*17790 

4046968 

40-75645 
41 03828 

41-31526 

41-58748 

41-85502 
42-11795 
42-37636 
42-63033 
42-87994 

4312524 
4336633 
4360328 
4383614 
4406501 

4428993 

44 5 1099 
44^72824 

44-94176 

45-15161 

45^35785 
45-56054 

45 75974 
45^95552 

46 14793 

46-33704 
4652288 
46-70554 
46-88505 
47-06147 



Tears 



51 
I 52 

53 
54 
55 

56 

59 
60 

61 
62 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 
77 
78 

79 
80 

81 
82 
83 

2^ 
85 

86 

8^ 



u 

89 

90 

91 
92 

93 
94 
95 

96 
97 
98 

99 
100 



1 



j 



(57) 



•2°/, 



!■ 1 



Years 



INTEREST TABLES 



ONE FOUND 



Amount 



I 


I -02000 


2 


I '04040 


3 


I 06121 


4 


I 08243 


5 


1*10408 


6 


1-12616 


2 


1-14869 


1-17166 


9 


I -19509 


zo 


I -21899 


xz 


124337 


Z3 


I 26824 


13 


I -29361 


14 


1-31948 


»S 


I 34587 


z6 


1 37279 


17 


I -40024 


z8 


1 '42825 


19 


I -45681 


20 


i 1-48595 


2X 


^ 1-51567 


22 


1-54598 


23 


1-57690 


24 


1-60844 


25 


I -64061 


26 


1-67342 


27 


1 70689 


28 


I -74102 


29 


1-77584 


30 


1 -811 36 


31 


1-84759 


32 


1 -88454 


33 


I 92223 


34 


I 96068 


35 


1-99989 


36 


2-03989 


37 


2-08068 


38 


2-12230 


39 


2-16474 


40 


2 -20803 


41 


2-25220 


42 


2-29724 


43 


2-34319 


44 


2-39005 


45 i 


2-43785 


46 


2-48661 


^l 


2-53634 


48 


2-58707 


49 


2-63881 


SO 


2-69159 



Present Value 



•98039 
-96117 
-94232 

•92385 
•90573 

•88797 
-87056 

•85349 
•83676 
•82035 

•80426 
•78849 

•77303 
-75788 

-74301 

•72845 
-71416 
•70016 

-68643 
•67297 

•65978 
•64684 
-63416 
-62172 

-60953 

•59758 
-58586 

•57437 
-5631 1 
-55207 

-54125 
•53063 
•52023 
-51003 
-50003 

49022 
-48061 
•471 19 

•46195 

•45289 

-44401 
•43530 
-42677 
-41840 
/4IO20 

-40215 
•39427 
•38654 
•37896 

•37153 



ONE FOUND FEE ANNUH 



Amount 



i-ooooo 

2 -02000 
3*06040 
412161 
5-20404 

6-30812 
7-43428 

8 58297 

975463 

10 94972 

1216872 
1341209 
14-68033 
15-97394 

1 7 29342 

1863928 
20 01 207 
21-41231 
22-84056 
24-29737 

25 78332 
27 -29898 
28*84496 
30 42 186 
32*03030 

33*67090 

3534432 
3705121 

3879223 
40*56808 

42-37944 
44-22703 

46-171-7 
48-033SO 

49*99447 

51-99436 
5403425 

56-11494 
58-23723 
60*40198 

62^61002 
64-86222 

67-15947 
69-50265 

71-89271 

74-33056 
76-81717 

79-35352 
81-94059 
84-57940 



L I 



Present Value 



•98039 
I -94156 
2-88388 

3-^773 
4-71346 

5-60143 
6-47199 

7-32548 
8-16224 
898258 

9-78685 
10-57534 

11-34837 
12-10625 
12-84926 

13-57771 
14-29187 
14-99203 
15 67846 
16*35143 

17*01121 
17-65805 
18*29220 
18*91393 
19-52346 

20*12104 

20 70690 
21-28127 

21 84438 
22*39646 

22*93770 

23-46833 
2398856 

24-49859 
24-99862 

25-48884 

25-96945 

26 -44064 
26-90259 
2735548 

27 79949 
28-23479 
2866156 
29-07996 
29-49016 

29-89231 
3028658 
30-67312 
31-05208 
3142361 



Tears 



Z 

3 

3 

4 
5 

6 

7 
8 

9 
10 

IX 
Z2 

13 

14 
15 

z6 

\l 

19 
20 

2Z 
22 

23 
24 
25 

26 

27 
28 

29 
30 

31 
32 

33 

34 
35 

36 

37 

38 

39 
40 

41 
42 

43 
44 
45 

46 

47 
48 

49 
SO 



Years 



For explanation see pp. 8- 13 



51 
52 
53 
54 
55 

56 
57 

IS 

61 
62 

65 
66 

$7 
68 

69 
70 

71 
72 
73 
74 
75 

76 

81 
82 

83 
84 

85 

86 

87 
88 

89 
90 

91 
92 

93 
94 
95 

96 
97 
98 

99 
100 



INTEREST TABLES 



2% 



ONE FOUND 



Amount 



2-74542 
2-80033 
2-85633 
2-91346 
2-97173 

3-03I17 
309179 

3-15362 
3-21670 
3-28103 

3^34665 
3^41358 
3-48186 

3-55149 
3-62252 

3-69497 
3-76887 

3-84425 

3-92114 

3-99956 

4-07955 
4-16114 

4-24436 



Present Value 



•36424 
•35710 
-35010 

•34323 
•33650 

•32991 

•32344 
-31710 
•31088 
-30478 

•29881 
•29295 
-28720 
•28157 
•27605 

•27064 
-26533 
•26013 

-25503 
•25003 

-24513 
-24032 

23561 



4-32925 


•23099 


4-41584 


•22646 


4-50415 


•22202 


4-59424 


•21766 


4-68612 


•21340 


4-77984 


•20921 


4-87544 


•20511 


4-97295 


•20109 


5-07241 


•19715 


5-17385 


-19328 


5-27733 


•18949 


5-38288 


•18577 


5-49054 


•18213 


5-60035 


•17856 


5^71235 


•17506 


5-82660 


•17163 


5-94313 


•16826 


6-06200 


•16496 


6-18324 


•16173 


6 30690 


•15856 


6-43304 


•15545 


6 56 I 70 


•15240 


6-69293 


•14941 


6-82679 


•14648 


696333 


•14361 


7-10259 


•14079 


7-24465 


•13803 



ONE FOUND FEE ANNUM 



Amount 



Present Value 



87^27098 
90-01640 
92-81673 

95^67307 
98-58653 

101 -55826 
104-58943 
107-68121 

no 83484 

11405154 
117-33257 

120-67922 
124-09280 

127-57466 
13I-I26I5 

134-74868 
138-44365 

142-21252 
146-05677 

149-97791 
153-97747 

158-05702 
162 21816 
166-46252 

170-79177 

175-20761 

I79-7II76 
184 30599 

188-99211 

193-77195 
198-64739 

203-62034 
208 69275 
213-86660 
219-14394 

224-52681 

23001735 
23561770 
241-33005 
247-15665 

253-09979 

259«i6i78 
265-34502 
271-65192 
278-08496 

28464666 

291-33959 
298-16638 
305-12971 
312-23230 



31 78785 

32-14495 
3249505 
32^83828 

33-17479 

33-50469 
33-82813 

34-14523 
34-45610 
34-76089 

3505969 
35-35264 
35-63984 
35-92141 
3619746 

36-46810 

36-73343 
36-99356 
37-24859 
37-49862 

37-74374 
37-98406 
38-21967 
38-45066 
38-67711 

38-89913 
39-11679 

39-33019 
39-53940 

39^74451 

39-94560 
40-14275 
40-33603 

40-52551 
40-71129 

40-89342 
41^07198 
41-24704 

41 41867 
41-58693 

41-75189 
41-91362 
42-07217 
42^22762 

42 38002 

4252943 
42-67591 

42^81952 

42^96032 

43-09835 



Years 



51 
52 

53 
54 
55 

S6 

P 



6z 
62 

64 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

79 
80 

8z 
82 

2^ 
84 

85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 
97 
98 

99 
100 



(58) 



See also Tables on pp. xx-xxxi 



m 



I 



(59) 






t 



^1 i 


fo 


INTEREST TABLES 

• 








ONE POUND 


ONE POUND PEB ANNUM 




Years 

1 










Years 


Amoiint 


Present Value 


Amount 


Present Value 


I 


I -02250 


-97800 


i-ooooo 


0-97800 


I 


2 


I 04551 


•95647 


2-02250 


I 93447 


3 


3 


1*06903 


•93543 


3-06801 


2-86990 


3 

4 


4 


f 09308 


-91484 


4-13704 


378474 


5 


I 11768 


•89471 


5-23012 


4-67945 


5 


6 


I 14283 


•87502 


6-34780 


5-55448 


6 


7 


1-16854 


•85577 


7-49062 


6-41025 


7 


8 


I 19483 


-83694 


8-65916 


7-24718 


8 


9 


1-22171 


•81852 


985399 


806571 


9 


lO 


I -24920 


-80051 


11-07571 


886622 


10 


II 


! 1-27731 


-78290 


12-32491 


9 649 11 


II 


12 


' I -30605 


-76567 


13-60222 


10-41478 


12 


13 


1*33544 


•74882 


14-90827 


11-16360 


13 


M 


1-36548 


•73234 


1624371 


11-89594 


14 


15 


1-39621 


•71623 


17-60919 


12-61217 


15 


i6 


I 42762 


•70047 


19-00540 


1331263 


16 


'2 


I -45974 


•68505 


20-43302 


13-99768 


17 


i8 


I -49259 


•66998 


21-89276 


14-66766 


18 


19 


1-52617 


•65523 


23-38535 


15-32290 


19 


20 


I -5605 1 


-64082 


24-91152 


15-96371 


20 


21 


1-59562 


-62672 


2647203 


1659043 


21 


22 


1-63152 


•61292 


28-06765 


17-20335 


22 


23 


I 66823 


•59944 


29-69917 


1 7 80279 


^ 


24 


1-70577 


•58625 


31 36740 


18^38904 


24 


25 


I -74415 


•57335 


3307317 


18 96238 


25 


26 


1 78339 


•56073 


34^81732 


19-52311 


26 


27 


I -82352 


•54839 


36-60071 


20-07150 


27 


28 


I -86454 


•53632 


38-42422 


20-60783 


28 


29 


1-90650 


•52452 


40-28877 


21 13235 


29 


30 


I -94939 


•51298 


42-19526 


21-64533 


30 


31 


I 99325 


•50169 


44-14466 


22-14702 


3< 


32 


2-03810 


•49065 


46-13791 


22-63767 


32 


33 


208396 


•47986 


48-17602 


23-11753 


33 


34 


2-13085 


•46930 


50-25998 


23-58683 


34 


35 


2-17879 


•45897 


52-39083 


24-04580 


35 


36 


2-22782 


•44887 


54-56962 


24-49467 


36 


37 


2-27794 


•43899 


56-79744 


24-93366 




38 


2-32920 


•42933 


59-07539 


25-36299 


08 


39 


2-38160 


-41989 


61-40457 


25-78288 


39 


40 


2-43519 


•41065 


63-78618 


26-19352 


40 


41 


2-48998 


-40161 


66-22137 


26-59513 


41 


42 


2-54601 


•39277 


68-71135 


26 98790 


42 


43 


2-60329 


•38413 


71 25735 


27-37203 


43 


44 


2-66i86 


•37568 


7386064 


27-74771 


44 


45 


2-72176 


•36741 


76-52251 


28-11512 


45 


46 


2-78300 


•35932 


7924426 


28-47444 ; 


46 


^2 


2-84561 


•35142 


82 02726 


28-82586 


47 


15 


2-90964 


•34369 


84-87287 


29-16955 


48 


i^ 1 


2-9751 1 


•33612 


87-78251 


29-50567 


49 


50 


304205 


•32873 


9075762 


2983440 


50 



for explanation see pp. 8-13 



^60) 



INTEREST TABLES 



21°/. 



Yean 



51 
52 

53 
54 
55 

56 



61 
62 

65 

66 

57 
68 

69 

70 

71 
72 
73 
74 
75 

76 

81 
82 

83 

86 

Si 

89 
90 

91 
92 
93 
94 
95 

96 
97 
98 

99 
100 



ONE POUND 



Amount 



Present Value 



3-1 1049 
3^i8o48 
3-25204 
3-32521 
3-40003 

3^47653 
3^55475 

363473 
3-71651 
3-80013 

3-88564 
397306 
4-06246 
4-15386 

424733 

4-34289 
4-44061 
4 54052 
4*64268 

4-74714 

4^85395 
4-96317 

5-07484 
5-18902 

5-30577 

542515 
5-54722 

5-67203 

579965 
593015 

6-06357 

6'20000 

6-33950 

6-48214 
6-62799 

6-77712 

6 92961 

7 08552 

7 -24495 
7-40796 

7-57464 
774507 
791933 
8-09752 

8 27971 

8-46600 
8 65649 
8-85126 
9-05041 
9-25405 



ONE POUND PEB ANNUM 



•32149 
•31442 
•30750 
-30073 
■29412 

•28764 
•28131 
•27512 
•26907 
•26315 

-25736 
-25169 
-24616 
•24074 

•23544 

•23026 
•22519 
•22024 

•21539 
•21065 

•20602 
•20148 
•19705 
•19271 
•18847 

•18433 
•18027 

•17630 

•17242 

•16863 

•16492 
•16129 

•15774 
•15427 

•15088 

-14756 

•14431 
•14113 

•13803 

•13499 

•13202 
•12911 
•12627 
•12349 

•12078 

•11812 

•11552 

•I 1298 
-1 1049 
-10806 



Amount 



9379966 

96-91016 

100-09064 

103-34267 

106-66788 

no '06791 

"3 54444 
117-09919 

120-73392 

124-45043 

128 25057 
132-13621 
136-10927 
14017173 

144-32559 

148-57292 
152-91581 

157-35642 
161 -89694 
166-53962 

171-28676 
1 76 1407 1 
181-10388 
186-17871 
191-36774 

196-67351 
202-09866 
207-64588 
213-31792 
21911757 

225-04771 
231-11129 
237 3 1 1 29 
243-65080 
250-13294 

256*76093 
263-53805 
270-46766 
277-55318 
284-79813 

292 -20608 
299-78072 

307-52579 
315-44512 
32354263 

331-82234 
340-28834 
348-94483 
357-79609 
366-84650 



Present Value 

30-15589 
30-47031 

30-77781 

31-07854 

31 37265 

31*66030 
31-94161 
32-21673 
32-48580 

32-74895 

33-00631 
33-25800 
3350416 
33 74490 
3398034 

34-21060 
34-43580 
3465604 

34-87143 
35-08208 

35-28810 

35^48959 
3568664 

35-87935 
3606783 

36-25215 
3643242 
36-60873 
36-78115 
36-94978 

37-11470 

37-27599 

37 43373 
37-58800 

3773888 

37-88643 
3803074 
38-17187 
38-30990 
38-44489 

38-57691 
38-70602 
3883230 

38-95579 
39-07657 

3919469 
39-31021 

39-42319 
3953368 

39-64174 



Years 



51 
52 

53 
54 
55 

56 

IS 

61 
62 

63 

65 

66 

u 

69 

70 

71 
72 

73 
74 
75 

76 

79 
80 

81 
82 

83 
84 
85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 

99 
100 



(I 



'■♦I 

I 



J 



See also Tables on pp. xx-xxxi 



(61) 



11 



2I7« 



INTEREST TABLES 



INTEREST TABLES 



2I°A 




I 

2 

3 
4 
5 

6 

7 
8 

9 

10 

II 

12 

13 

15 

i6 

17 
i8 

19 

20 

21 
22 

23 
24 

25 

26 

27 
28 

29 
30 

31 

32 

33 
34 
35 

36 
37 
38 

39 
40 

41 
42 
43 
44 
45 

46 

47 
48 

49 
50 



ONE POUND 



Amount 


Present Value 


I 'oascx) 


•97561 


I 05062 


•95181 


I -07689 


-92860 


1-10381 


•90595 


1-13141 


•88385 


I -15969 


•86230 


I -18869 


-84127 


1-21840 


-82075 


I -24886 


-80073 


I -28008 


•78120 


I -31209 


•76214 


I 34489 


•74356 


1-37851 


•72542 


1-41297 


•70773 


I -44830 


-69047 


1-48451 


-67363 


1-52162 


•65720 


1-55966 


-641 17 


I 59865 


62553 


I 63862 


-61027 


I -67958 


•59539 


I -72157 


-58086 


I -76461 


•56670 


1-80873 


•55288 


I 85394 


•53939 


1-90029 


-52623 


I 94780 


-51340 


I -99650 


-50088 


2 -04640 


•48866 


209757 


-47674 


2-15000 


•465 1 1 


2 20376 


•45377 



2-25885 

2-31532 
2-37321 

2-43254 
2-49335 

2-55568 
2-61957 

2 68506 

2-75219 
2-82100 
2-89152 
2-96381 
3-03790 

3^"385 
3-19169 

3-27149 
3-35328 

3*43711 



-44270 
•43191 
•42137 

-41 109 
-40107 
-39128 

•38174 
•37243 

•36335 
•35448 

•34584 
•33740 
•32917 

•32115 

•31331 
•30567 
-29822 
•29094 



ONE FOUND FEB ANNUM 



Amount 



I -00000 
2-02500 
3-07562 
4^15252 
5^25633 
6-38774 

7^54743 
8-73612 

995452 
1 1 -20338 

12-48347 

13-79555 
15-14044 
16-51895 

17-93193 

19-38022 
20-86473 
22-38635 
23-94601 
25-54466 

27-18327 
28-86286 
30-58443 
32-34904 
34-15776 

36-01171 
37-91200 
3985980 
41 85630 
43-90270 

46 -00027 
48-15028 

5035403 
52-61289 
54^92821 

57-30141 

59-73395 
62-22730 

64-78298 
67 40256 

70-08762 
72-83981 
75-66081 

78-55232 
81-51613 

84-55403 
87-66788 
90-85958 
94-13107 

97-48435 



Present Value 

•97561 
I -92742 
2-85602 
3-76197 
4-64583 
5-50812 

6-34939 
7-17014 

7-97087 

8-75206 

9-51421 
10-25776 
10-98318 
1 1 -69091 
12-38138 

13-05500 
13-71220 

14-35336 ■ 

14-97889 

15-58916 

16-18455 
16-76541 
17-33211 

17-88499 
18-42438 

18-95061 
1 9^4640 1 
19^96489 

2045355 
20-93029 

21-39540 
21-84918 
22-29188 
22 72379 
23-14516 

23-55625 
23-95732 
24-34860 

24-73034 
25-10277 

25-46612 
25-82061 
26-16645 
26-50385 
26-83302 

27-15417 

27-46748 

27-77315 
28-07137 

28-36231 



Years 



I 
2 

3 
4 
5 

6 

2 

9 
ID 

II 
12 

13 
14 
15 

16 

17 
18 

19 
20 

21 



23 

24 
25 

26 

29 
30 

31 
32 

33 

34 
35 

36 



39 
40 

41 
42 

43 
44 
45 

46 

47 
48 

49 
50 



Yeara 



ONE FOUND 



51 
52 

53 

M 
55 

56 



61 
62 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

81 
82 

83 

86 

!7 
88 

89 
90 

91 
92 
93 
94 
95 

96 

99 
100 



Amount 



3*52304 
3-61111 

3*70139 

379392 

. 3-88877 

398599 
4-08564 
4-18778 
4-29248 

4-39979 

4-50978 
4-62253 
4-73809 
485654 
4-97796 

5*10241 
5-22997 
5-36072 

5-49473 
5-63210 

5-77291 
5-91723 
6 065 16 
6-21679 
6-37221 

^•53151 
6^69480 
6-86217 

7-03372 
7-20957 

7-38981 

7-57455 
7-76392 
7-95801 
8-15696 

8-36089 
8-56991 
878416 
9-00376 
9-22886 

9-45958 
9-69607 

9*93847 
10-18693 

10-44160 

10-70264 
10-97021 
1 1 -24447 
11-52558 
II -81372 



Present Value 



ONE FOUND FEB ANNUM 



•28385 
•27692 
•27017 
*26358 

•25715 

•25088 
-24476 
•23879 
-23296 
-22728 

•22174 
-21633 
-21106 
•20591 
•20089 

•19599 
•19121 

•18654 

-18199 

*i7755 

-17322 
•16900 
-16488 
-16085 
•15693 

•15310 
•14937 

*H573 
-14217 

-13870 

-13532 
-13202 
•12880 
-12566 
-12259 

•11960 
•11669 
•11384 
•11106 
-10836 

-10571 
-10313 
•10062 
•09817 

-09577 

-09343 
-091 16 
-08893 
-08676 
-08465 



Amount 



100-92 146 
104-44449 

108-05561 
III-75700 
"5*55092 

119-43969 
123-42569 

127-51133 
131-69911 

135-99159 

140-39138 
144*901 16 

149-52369 
154-26179 

159-I1833 

164-09629 
1 69^1 9869 
174^42866 
179-78938 
1 85 -284 1 1 

190-91622 
196-68912 
202 -60635 
208-67151 
214-88829 

221-26050 
227-79201 
234-48681 
241-34898 
248-38271 

255-59228 
262 '98209 
270-55664 
278-32056 
286-27857 

294-43553 
302-79642 
311-36633 
320-15049 
329-15425 

338-38311 
347-84269 

357*53875 
367*47722 
377*66415 

388-10576 
398-80840 
409-77861 
421-02308 
432*54865 



Present Value 



28 •6461 6 
28-92308 
29-19325 
29*45683 
29-71398 

29-96486 
30-20962 
30-44841 
30-68137 
30-90866 

31-13040 

31*34673 
31-55778 
31*76369 
31-96458 

32-16056 

32-35177 
32-53831 
32 72030 
3289786 

33-07108 
33-24008 
33-40495 
33-56581 
33*72274 

33-87584 
34-02521 

3417094 

34-31311 
34*45182 

34-58714 
34-71916 

34-84796 
34*97362 
35-09621 

35-21582 
35*33251 
35*44635 
35*55741 
35*66577 

35-77148 
35-87462 

35-97523 
36-07340 
36-16917 

36-26261 
3635376 
36-44269 
36-52946 
36-61410 



Years 



51 
52 

53 

54 
55 

56 



59 
60 

61 
62 
63 

65 

66 

57 
68 

69 
70 

71 
72 
73 
74 
75 

76 

81 
82 

83 
84 
85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 
97 
98 

99 
100 



For explanation see pp. 8-13 



(62) 



bee also Tables on pp. xx-xxxi 



I 



(63) 



21°/ 



INTEREST TABLES 



Yean 



ONE POUND 



Amount 



I "02750 
105576 
I '08479 
I 1 1462 
I 14527 

I 17677 
1*20913 
1 24238 
1-27655 
1-31165 

I -34772 
I -38478 
I -42287 
I -46199 
I -50220 

1-54351 
1-58596 
I '62957 
I 67438 
I 72043 

1-76774 
I -81635 
I 86630 
1-91763 
I 97036 

2-02455 
2*08022 
2-13743 
2-19621 
2-25660 

2-31866 
2-38242 
2-44794 
2-51526 
2-58443 

2-65550 
2 72852 
2-80356 
2-88066 
2-95987 

3-04127 
3-I249I 
3*21084 
3*29914 
338986 

3-48309 
357887 
367729 
3-77842 
388232 



For explanation see pp; 8-13 



Present Value 

•97324 
-94719 
-92184 
•89717 

•87315 

•84978 
*82704 
*8o49i 

•78336 
-76240 

•74199 
•72213 

•70281 

•68400 

•66569 

•64787 

-63053 
*6i366 

•59723 
•58125 

•56569 

•55055 
-53582 
•52148 
-50752 

•49394 
•48072 

•46785 
•45533 
•44314 

•43128 

•41974 
•40851 

•39757 
•38693 

•37658 
•36650 
•35669 
-34714 
•33785 

•32881 
•32001 

•31 144 
•3031 1 
•29500 

•28710 
•27942 
-27194 
-26466 
•25758 



ONE POUND PEB ANNUM 



Amount 



I -00000 
2-02750 
3*08326 
4^i68o5 
5-28267 

6-42794 

7-60471 

8-81384 

10-05622 

11-33276 

12-64442 
13-99214 
15-37692 
16-79979 
18-26178 

19-76398 
21-30749 
22-89344 
24-52301 
26-19740 

27-91783 
29-68557 
31-50192 
33-36822 
35^28585 

37-25621 
39-28075 
41-36098 
43-49840 
45-69461 

47-95121 
50-26987 
52-65229 
55-10023 
57-61548 

60-19991 
62-85541 

65-58393 

68-38749 
71-26815 

74-22802 
77-26929 
80-39419 
83-60504 
86-90417 

90-29404 

93-77712 

9735600 

1 01 -03329 

104-81170 



(64) 



Present Value 



0-97324 
I -92042 
2-84226 

3*73943 
4-61258 

546237 
6-28941 
7-09431 
7-87768 
8 '64008 

9-38207 
10-10420 
10-80701 
11-49101 
12-15670 

12-80457 

13-43511 
14-04877 

14-64600 

15-22725 

15-79295 

16-34350 
16-87932 
17-40080 
17-90832 

18-40226 
1888297 
19-35083 
19-80616 
20-24930 

20-68059 
21-10033 
2i^5o883 
21^90641 

22 29334 

22-66992 
23-03642 

23 393 I I 
23-74025 

24-07810 

24-40691 
24-72692 
25-03837 

2534147 
25-63647 

2592357 
26 -20299 

26-47493 
26 -73959 

26-99717 



Years 



I 

2 

3 
4 
5 

6 

7 
8 

9 
10 

zx 
za 

13 
14 
15 

16 

\l 

19 
20 

21 
22 

23 

24 

25 

26 

27 
28 

29 
30 

31 
32 
33 
34 
35 

36 

39 
40 

41 

42 
43 

44 
45 

46 

49 
SO 



INTEREST TABLES 



2r/o 



Years 



ONE POUND 



Amount 



51 
52 

53 
54 
55 



71 
72 
73 
74 
75 

76 

79 
80 

8z 
82 
83 

85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 

96 

97 
98 

99 
100 



3-98909 
4-09879 
4-21150 
4-32732 
4 '44632 



56 


4-56859 


57 


4-69423 


58 


4-82332 


S 


4-95596 


5-09225 


61 


5-23229 


62 


5-37618 


63 


5-52402 


64 


5-67593 


65 


5-83202 


66 


5-99240 


67 


6-15719 


68 


6-32651 


69 


6 -50049 


70 


6 67926 



6*86294 

7-05167 

7-24559 
7-44484 

7 '64957 

7-85994 
8 07609 

8-29818 

8-52638 

8-76085 

9-00178 

9-24933 
9-50368 

976503 
10-03357 

10-30950 
10-59301 
10-88431 
1 1 -18363 
11-49118 

1 1 -80719 
12-13189 
12-46552 
12-80832 
13-16055 

13-52246 

13-89433 
14-27642 
14-66902 
15-07242 



Present Value 



ONE POUND PER ANNUM 



Amount 



•25068 

-24397 
•23744 
•23109 
-22491 

•21889 
-21303 
-20733 
•20178 
-19638 

-19112 
•18601 
-18103 
•17618 
•17147 

•16688 
•16241 
•15806 

-15383 
•14972 

•I4571 
•14181 

•13802 

-13432 

-13073 

•12723 
•12382 
•12051 
•II728 
•II414 

-III09 
•I0812 
•10522 
•1024 1 
-09967 

-09700 
•09440 
•09188 
-08942 
•08702 

•08469 
-08243 
-08022 
-07807 
-07598 

-07395 
-07197 

•07005 

-06817 

•06635 



108-69402 
1 12-6831 1 
I16-78189 
120-99340 
125-32071 

129-76703 

134-33563 
139-02986 

143-85318 
148-80914 

153-90139 
1 59^1 3368 
164-50986 
170-03388 
i75^7098i 

181 -54183 

187-53423 
193-69142 
200-01793 

206-51843 

213-19768 
220-06062 
227-11229 
234-35788 
241-80272 

249-45229 
257-31223 
265-38832 
273 68649 
282-21287 

290-97373 
299-97551 
309-22483 
318-72851 
328-49355 

338-52712 
34883662 
359-42962 
370-31394 
381-49757 

392-98876 
404-79595 

416-92783 

42939335 
442 '20167 

455-36221 
468 88467 
482 77900 
497-05542 

511-72445 



See also Tables on pp. xx-xxxi 



(6$) 



Present Value 



Years 



27-24785 
27-49183 
27-72927 
27-96036 
28-18527 

28-40415 
28-61718 
28-82451 
29-02628 
29-22266 

29-41378 

29^59979 
29-78082 

29^95700 

30^12846 

3029534 

30-45775 
3061582 

30-76965 

30-91937 

31 06508 
31-20689 

31 •34491 

31-47923 
31-60995 

31-73718 
31-86100 
31-98151 
32-09880 
32-21294 

32-32403 
32-43214 

32-53737 
32-63977 

32-73944 

32-83644 
32-93084 
33-02271 
33-11213 

33-19915 

33-28385 
33-36628 
3344650 

33-52457 
33-60056 

33-67451 
33-74648 
33-81652 
3388469 ! 
33-95104 i 



51 
52 

S3 

54 
55 

56 
57 
58 

60 

61 
62 
63 

65 

66 

57 
68 

69 
70 

71 
72 
73 
74 
75 

76 
77 
78 

79 
80 

81 
82 

83 

s* 

95 

86 
8^ 



u 

«9 
90 

91 
92 
93 
94 
95 

96 

97 
98 

99 
100 



II 



3°/' 



INTEREST TABLES 



For explanation see pp. 8- 1 3 



(66) 





ONE POUND 


ONE FOUND PES ANNUM 




Years 










Tears 


Amount 


Present Value 


Amount 


Present Value 


I 


1-03000 


•97087 


I -00000 


•97087 


I 


2 


1*06090 


-94260 


2*03000 


1*91347 


2 


3 


I -09273 


•91514 


3-09090 


2*82861 


3 


4 


1-12551 


•88849 


4-18363 


3^7i7io 


4 


5 


1-15927 


•86261 


5 •30914 


4-57971 


5 


6 


I -19405 


•83748 


6 -4684 1 


5-4I7I9 


6 


7 


I -22987 


-81309 


7-66246 


6-23028 


i 


8 


1 -26677 


-78941 


8*89234 


7-01969 


9 


1-30477 


•76642 


10*15911 


7-78611 


9 


10 


I '34392 


-74409 


1 1 -46388 


8*53020 


10 


II 


1-38423 


•72242 


12-80780 


9 25262 


II 


12 


I -42576 


-70138 


14-19203 


9*95400 


12 


13 


I -46853 


•68095 


15-61779 


10-63496 


13 


14 


I -51259 


-661 12 


17 08632 


1 1 29607 


M 


15 


1-55797 


•64186 


18-59891 


11-93794 


IS 


16 


I -60471 


-62317 


20-15688 


12-56110 


16 


^l 


I -65285 


•60502 


21-76159 


13-16612 


% 


18 


I -70243 


-58739 


23*41444 


13-75351 


19 


I -75351 


-57029 


25-11687 


14-32380 


19 


20 


I -8061 1 


-55368 


2687037 


14-87748 


20 


21 


I 86029 


•53755 


28*67649 


1 5 •41502' 


21 


22 


1-91610 


-52189 


30^53678 


15-93692 


22 


23 


1-97359 


•50669 


32^45288 


16-44361 


23 


24 


2-03279 


-49193 


34-42647 


16-93554 


24 


25 


2-09378 


-47761 


36*45926 


17-41315 


25 


26 


2-15659 


-46369 


38-55304 


17-87684 


26 


^ 


2*22129 


•45019 


40-70963 


18-32703 


27 


28 


2-28793 


-43708 


42 93092 


18-7641 1 


28 


29 


2-35657 


•42435 


45-21885 


19-18846 


29 


30 


2*42726 


•41 199 


47-57542 


19-60044 


30 


31 


2 50008 


. -39999 


50-00268 


20-00043 


31 


32 


257508 


•38834 


52-50276 


20-38877 


32 


33 


265234 


•37703 


55^07784 


2076579 


33 


34 


2-73191 


•36604 


57 •73018 


21-13184 


34 


35 


281386 


•35538 


60-46208 


21-48722 


35 


36 


2-89828 


•34503 


63^27594 


21 83225 


36 


37 


298523 


•33498 


66-17422 


22-16724 




38 


3-07478 


•32523 


69-15945 


22*49246 


38 


39 


3-16703 


•31575 


72-23423 


22 -80822 


39 


40 


3*26204 


•30656 


75*40126 


23*11477 


40 


41 ! 


3-35990 


•29763 


78*66330 


23*41240 


41 


42 i 


3-46070 


•28896 


82*02320 


23*70136 j 


42 


43 


3-56452 


•28054 i 


85-48389 


23*98190 


43 


44 


3-67145 


-27237 


89*04841 


24*25427 


44 


45 


3-78160 


•26444 


92-71986 


24-51871 


45 


46 


3-89504 


•25674 


96-50146 


24^77545 


46 


47 


4-01 190 


•24926 


100*39650 


25 -0247 1 


47 


48 


4-13225 


•24200 


104*40840 


25-26671 


48 


49 


4-25622 


•23495 


108 54065 


25-50166 


49 


50 


4-38391 , 


-2281 1 


112*79687 


25-72976 j 


50 



INTEREST TABLES 



3°/< 



Tears 



51 
52 

53 
54 
55 

56 

57 
58 



I 61 
62 

65 

66 

$7 
68 

69 
70 

71 

72 

73 
74 
75 

76 

77 
78 

81 
82 

83 
85 

86 

87 

88 

89 
90 



91 
92 

93 
94 
95 

96 
97 
98 

99 
100 



ONE POUND 



Amount 



4^51542 
4-65089 

4^79041 
4^93412 
5-08215 

5 •23461 
5^39165 
5 55340 

5 72000 
5^89160 

6*06835 

6 *25040 
6*43791 
6*63105 
682998 

7*03488 
7-24593 

7^46331 
7-68721 

7-91782 

8-15536 
8-40002 
8*65202 
8*91158 

9-17893 

945429 

9-73792 

10*03006 

10*33096 

10*64089 

10*96012 
1 1 ^28892 
1 1 *62759 
1 1 *97642 
12*33571 

12-70578 

13-08695 

13-47956 

13-88395 
14-30047 

14-72948 

15-17137 
15*62651 

16*09530 

16*57816 

17-07551 
^75^777 
18*11540 

18*65887 
19-21863 



Present Value 



-22146 
-2 1 501 
-20875 
-20267 
•19677 
•19104 

•18547 
•18007 

•17483 
•16973 

•16479 

•15999 

•15533 
-15081 

14641 

-I4215 
-13801 

•13399 
•13009 

•12630 

•12262 
•I 1905 
•II558 
•II22I 
•10895 

•10577 
•10269 
•09970 
•09680 
•09398 

•09124 
•08858 
•08600 
•08350 
•08107 

•07870 
•07641 
•07419 
•07203 
-06993 

•06789 
•06591 
•06399 
•06213 
•06032 

•05856 
•05686 
•05520 

-05359 
•05203 



ONE POUND PEE ANNUM 



Amount 



ii7^i8o77 
121-69620 
126-34708 

131 •13749 
136-07162 

141 -15377 
146-38838 
151 78003 

157^33343 
16305344 

168*94504 

1 75 •01339 
181*26379 

187*70171 
194^33276 

201*16274 
208*19762 

215^44355 
222*90686 

230*59406 

238 •SI 1 89 
246 -66724 
255-06726 
263-71928 
272*63086 

281*80978 
291 *26407 
301*00200 
311*03206 
321*36302 

332*00391 

342 96403 
354-25295 
365*88054 
37785695 

390*19266 
402 *89844 

415^98539 
42946495 
443-34890 

457^64937 
^72'Z7^^S 

487*55022 

503*17672 

519*27203 

535-85019 
552^92569 

570*51346 
588*62887 
607-28773 



Present Value 

25-95123 
26-16624 

26*37499 

26*57766 

. 26*77443 

26 96546 
27-15094 

27*33101 

27-50583 
2767556 

27*84035 
28*00034 
28*15567 
28^30648 
28^45289 

2859504 
28-73305 

28*86704 

28*99712 

29*12342 

29*24604 
29-36509 
29*48067 
29-59288 
29-70183 

29-80760 
29-91029 
30 00999 
30-10679 
30-20076 

30-29200 
30-38059 
30-46659 
30*55009 
3063115 

30-70986 

30 78627 
30*86045 
30*93248 
31*00241 

31^07030 
31-13621 
31*20021 

31 26234 
31-32266 

31-38122 
3 1 43808 
31-49328 
31-54687 
31-59891 



Years 



51 
52 

53 
54 
55 

56 
57 
58 

60 

61 
62 

65 
66 

% 

69 
70 

71 
72 

73 
74 
75 

76 

77 
78 

79 
80 

81 
82 
83 

85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 
97 
98 

99 
100 



1 






See also Tables on pp. xx-xxxi 

(67) 



c 2 






02 


10 


INTEREST TABLES 








ONE FOUND 


ONE POUND FEB ANNUM 




Years 










Years 


Amoiint 


Present Value 


Amount 


Present Vidue 


I 


I -03500 


-96618 


I -00000 


•96618 


I 


2 


1-07122 


•93351 


2-03500 


1-89969 


2 


3 


I -10872 


-90194 


3^io623 


2-80164 


3 


4 


1-14752 


-87144 


4-21494 


3 67308 


4 


5 


1-18769 


-84197 


5^36247 


4^51505 


5 


6 


I -22926 


•81350 


6-55015 


5^32855 


6 


7 


I -27228 


-78599 


7-77941 


6-11454 


7 


8 


1-31681 


•75941 


9 "05 1 69 


6-87396 


8 


9 


I -36290 


-73373 


10-36850 


7 60769 


9 


10 


I -41060 


•70892 


"•73I39 


8-31661 


10 


II 


I -45997 


-68495 


13-14199 


9-00155 


II 


12 


I -5 1 107 


•66178 


14-60196 


9-66333 


12 


13 


1-56396 


-63940 


16-11303 


10-30274 


13 


14 


I -61869 


•61778 


1767699 


10-92052 


14 


15 


1-67535 


-59689 


19-29568 


11-51741 


15 


i6 


173399 


-57671 


20-97103 


12-09412 


16 


'Z 


I -79467 


•55720 


22-70501 


12-65132 


17 


i8 


I 85749 


•53836 


24-49969 


13-18968 


18 


19 


I -92250 


-52016 


26-35718 


13-70984 


19 


20 


1-98979 


•50257 


28-27968 


14-21240 


20 


21 


2-05943 


-48557 


30^26947 


14-69797 


21 


22 


2-13151 


-46915 


32-3*2890 


15-16713 


22 


23 


2'206ll 


•45329 


34-46041 


15-62041 


23 


24 


2-28333 


•43796 


3666653 


1605837 


24 


25 


2-36324 


•42315 


^ 38 94986 


16-48152 


25 


26 


2-44596 


-40884 


41-31310 


16-89035 


26 


27 


253157 


-39501 


43^75906 


17-28537 


27 


28 


2-62017 


•38165 


46 29063 


17-66702 


28 


29 


2-71188 


•36875 


48-91080 


18-03577 


29 


30 


2 80679 


•35628 


51-62267 


18-39205 


30 


31 


2-90503 


•34423 


54-42947 


18-73628 


31 


32 


3-00671 


-33259 


57-33450 


1906887 


32 


33 


3-11194 


-32134 


60-34121 


19-39021 


33 


34 


3 22086 


•31048 


63-45315 


19-70068 


34 


35 


3 33359 


-29998 


66-67401 


20 00066 


35 


36 


3-45027 


■28983 


70-00760 


20-29049 


36 


37 


3-57103 


•28003 


73^45787 


20-57053 


37 


38 


3-69601 


•27056 


77-02889 


20-84109 


38 


39 


3-82537 


-2614I 


80-72490 


21-10250 


39 


40 


395926 


•25257 j 


84-55028 


2i^35507 


40 


41 


4-09783 


•24403 i 


88-50953 


21 59910 


41 


42 


4-24126 


•23578 


92-60737 


21-83488 


42 


43 


4-38970 


•22781 


9684863 


22 06269 


43 


44 


4*54334 


-22010 


loi 23833 


22 28279 


44 


45 


4-70236 


-21266 


105-78167 


22-49545 


45 


46 


4-86694 


•20547 


110-48403 1 


22 -70092 


46 


% 


5-03728 


-19852 


"535097 


2289944 


47 


5-21359 


-19181 


120-38826 


23-09125 


48 


49 


539606 


•18532 


125-60184 


23-27657 


49 


50 


5-58493 


-17905 


130-99791 


2345562 


50 



For explanation see pp. 8- 13 



(68) 



INTEREST TABLES 



02 /o 



Years 



ONE POUND 



Amount 



5^78040 
598271 
6-19211 
640883 
6-63314 

6-86530 
7^10559 
7-35428 
7 -61 168 
7-87809 

8-15382 
8-43921 
8-73458 
^ 904029 
9-35670 

9-68418 
10023 13 

10-37394 
1073703 

1 1 -1 1282 

1 1 -501 77 
11-90434 
12-32099 
12 75222 
13-19855 

13-66050 
14-13862 

14-63347 
15-14564 
1567574 

16-22439 
16-79224 

^7 '37997 
17-98827 

18-61786 

19-26948 

19-94391 
20 64 I 95 

21-36442 

22-11217 

22-88610 
23-68711 
24-51616 

25-37423 
26 -26233 

27-18151 

28-13286 
29-11751 

30-13662 

31-19141 



Present Value 



•17300 
•16714 
•16150 
•15603 
•15076 

•14566 

. '14073 
•13598 

•13138 
•12693 

-12264 
-1 1849 
-1 1449 
-1 1062 
-10688 

-10326 
-09977 
-09640 
-09314 
•08999 

08694 
-08400 
-081 16 
-07842 

-07S77 
-07320 

•07073 
•06834 

-06603 
•06379 
-06164 

-05955 
•05754 
•05559 
•05371 

-05190 

-05014 

-04845 

-04681 

•04522 

•04369 
-04222 

•04079 
•03941 
-03808 

•03679 
•03555 
•03434 
-03318 
-03206 



ONE POUND PER ANNUM 



See also Tables on pp. xx-xxxi 



Amount 



136-58283 
142-36324 

148-34595 
154-53805 

1 60 94689 
167 58003 

^74-44533 
181-55092 

188-90520 

196-51688 

204-39497 
212-54879 

22098800 

229-72258 

23876287 

248-11957 
257-80376 
267-82689 
278-20083 
288'g^7S6 

300^05069 

311-55244 
323-45680 

33577778 
34853001 

361^72856 
375-38906 
389-52768 
404 -161 15 
419-30678 

434-98252 
451-20691 
467-99915 

485-37912 

503-36739 

521-98525 

541-25474 
561-19865 

581-84060 

603-20503 

625-31720 
648 -20330 
671-89042 
696-40658 
721-78082 

748^04314 
775-22465 
803-35752 
832-47503 
862-61166 



Present Value 



23 62862 

23-79577 
23-95726 
24-11330 

24 -26405 

24-40971 

24-55045 

24 -68642 

24 -8 1 780 
24-94474 
25-06738 

25 •18587 
25-30036 
25-41097 

25-51785 

25 -621 1 1 
25 72088 

25 8 I 728 
25-91041 

26 ^00040 

26 08734 
26-17134 
26-25251 
26 33092 
26-40669 

26-47989 
26 55062 
26-61896 
26-68498 
26-74878 

26^8i04i 
26-86996 
26-92750 
26-98309 
27-03680 

27-08870 
27-13884 
27-18729 
27-23409 
27-27932 

27-32301 
27-36523 
27-40602 

27-44543 
27-48351 

27-52029 

27-55584 
27-59018 
27-62337 
2765543 



Years 



51 
52 

53 
54 
55 

56 
57 
58 

61 
62 

65 
66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

77 
78 

79 
80 



81 
82 

83 
84 
85 

86 
8: 



89 

90 

91 
92 

93 
94 
95 

96 

99 
100 



(69) 



4°/. 



INTEREST TABLES 





ONE POUNB 


Years 






Amonnt 


Present Value 


I 


I'04CKX) 


•96154 


2 


I -08160 


-92456 


3 


1-12486 


-88900 


4 


1-16986 


•85480 


5 


1-21665 


-82193 


6 


I -26532 


-79031 


7 


1-31593 


75992 


8 


I -36857 


-73069 


9 


I -42331 


-70259 


10 


I -48024 


-67556 


II 


1-53945 


•64958 


12 


I -60103 


-62460 


13 


I -66507 


•60057 


14 


1-73168 


-57748 


15 


1-80094 


•55526 


i6 


I -87298 


•53391 


'Z 


I -94:90 


-51337 


i8 


2-02582 


-49363 


19 


2-10685 


•47464 


20 


2-19112 


-45639 


21 


2-27877 


•43883 


22 


2-36992 


•42196 


23 


2 -46472 


•40573 


24 


2 56330 


-39012 


25 


266584 


-37512 


26 


277247 


-36069 


27 


2-88337 


-34682 


28 


2 99870 


-33348 


29 


3-11865 


-32065 


30 


3-24340 


-30832 


31 


3-37313 


-29646 


32 


3-50806 


-28506 


33 


3-64838 


-27409 


34 


379432 


•26355 


35 


3-94609 


•25342 


36 


4-10393 


-24367 


37 


4-26809 


•23430 


3« 


4-43881 


-22529 


39 


4-61637 


•21662 


40 


4-80102 


-20829 


41 


4-99306 


•20028 


42 


5-19278 


•19257 


43 


5-40050 


•18517 


44 


5-61652 


•17805 


45 


5 -841 18 


•17120 


46 


6-07482 


•16461 


% 


6-31782 


•15828 


6-57053 


•15219 


49 


6-83335 


•14634 


SO 


7-10668 


•1407 1 



ONE POUND PER ANNUM 



Amount 



I 00000 
2-04000 
3-12160 
4-24646 
5-41632 

6-63298 

7 -89829 

9-21423 

10-58280 

120061 1 

13-48635 
15-02581 

16-62684 

i8^29i9i 

20^02359 

21^82453 

23-69751 
25-64541 
27-67123 
29-77808 

31-96920 
34-24797 
36-61789 
39-08260 
41-64591 

44-31174 
47-08421 

49-96758 
52-96629 
56-08494 

59-32834 
62^70147 
66^20953 

69-85791 
7365222 

77-59831 
81 -70225 

85-97034 

90-40915 
95-02552 

9982654 
i04^8i96o 
iio^oi238 
ii5^4i288 
1 2 1 ^02939 

126-87057 

132-94539 
139-26321 

145-83373 
1 52 66708 



For explanation bee pp. 8-13 



Present Value 



-96154 
I 88609 

277509 

3 62990 

445182 

5^24214 
6 ^00205 

6^73275 
7-43533 
8-11090 

8-76048 

9-38507 
9-98565 
0-56312 
I -1 1839 

I 65230 
2^16567 
265930 
3-13394 
3-59033 

4^02916 
445112 
4-85684 
5-24696 

5 -62208 

5-98277 
6-32959 
6^66306 

6 ^98372 
7-29203 

7-58849 

7-87355 
8-14765 

8-41 120 

8-66461 

8-90828 
9-14258 
9-36787 
9-58449 
9-79277 

999305 
20-18563 
20-37080 
20-54884 
20 72004 

20^88465 
21^04294 
21-19513 
21-34147 
21-48219 



Yeara 



I 
2 

3 
4 
5 

6 

7 
8 

9 
10 

II 
12 

13 
14 
15 

16 

% 

19 
20 

21 
22 

23 

24 

25 

26 

27 
28 

29 
30 

31 
32 
33 
34 
35 

36 

37 
38 

39 
40 

41 
42 

43 
44 
45 

46 

% 

49 
50 



INTEREST TABLES 



4^/. 



Years 



ONE POUND 



51 
52 

53 
54 
55 

56 



[ 



61 

62 

65 
66 

% 

69 
70 

71 
72 
73 
74 
75 

76 

81 
82 

83 
84 
85 

86 

I? 

89 
90 

91 
92 
93 
94 
95 

96 
97 
98 

99 
100 



Amount 



Present Value 



7-39095 
7-68659 

7-99405 
8-31381 

8-64637 

8 99222 

9-35191 

9-72599 

10-11503 

1051963 

1 0^9404 1 
11-37803 
II -83315 
12-30648 
12-79874 

13-31068 
13-8431 1 
14-39684 
14-97271 
15-57162 

16-19448 
16-84226 

17^51595 
18-21659 

18-94525 

1970307 
20-49119 
21-31084 
22-16327 
23-04980 

23-97179 
24-93066 
25-92789 
26 -96500 
28 04360 

29-16535 
30-33196 

31-54524 
32-80705 

3411933 

35-48411 
36-90347 
38-37961 

39-91479 
41-51139 

43-17184 
44-89872 
46-69467 
48-56245 

50-50495 



•13530 
•13010 
•12509 
•12028 
•11566 

-11121 
-10693 
-10282 
-09886 
-09506 

-09140 
-08789 
-08451 
-08126 
-07813 

-07513 
-07224 

-06946 

-06679 

•06422 

-06175 

-05937 
•05709 

-05490 
-05278 

•05075 
-04880 
-04692 
-04512 
-04338 

•04172 
-0401 1 

•03857 
•03709 

-03566 

•03429 
-03297 

-03170 
•03048 
•02931 

•02818 
-02710 
•02606 
•02505 
•02409 

•02316 
-02227 
•02142 
•02059 
-01980 



ONE POUND PER ANNUM 



Amount 



159-77377 
167-16472 

174-85131 
182-84536 

191-15917 

199-80554 
208-79776 
218-14967 
227-87566 
237-99069 

248-51031 

259-45073 
270-82875 

282^66190 

294-96838 

307-76712 
321-07780 
334-92091 

349-31775 
364 -29046 

379-86208 
396-05656 
412-89892 
430-41478 
448-63137 

467 -57662 
487-27969 
507-77087 
529-08171 
551-24498 

574-29478 
598-26657 

623-19723 
649-12512 
676*09012 

704-13373 
733-29908 

763-63104 

795-17628 

827-98333 

862-10267 
897-58677 
934-49024 
972-86985 
IOI2 -78465 

1054-29603 
1097-46788 
1142-36659 
1 189-06125 
1237-62370 



(70) 



See also Tables on pp. xx-xxxi 



Present Value 



21-61749 

21-74758 
21-87268 
21-99296 
22-10861 

22-21982 
22-32675 
22-42957 
22-52843 
22 -62349 

22-71490 
22 -80278 
22-88729 
22 -96855 
23-04668 

23-I2181 
23-19405 
23-26351 
23-33030 
23-39452 

23-45627 
23-51564 

23-57273 
23-62763 

23 6804 I 

23-73116 
23-77996 
23-82689 
23-87201 

23-91539 

23-95711 
23-99722 

24-03579 

24 -07287 

24-10853 

24 •14282 

24-17579 
24-20749 

24-23797 
24 26728 

24-29546 
24 32256 
24 3486 I 

24-37367 
24-39776 

24^42092 
24-44319 
24-46461 
24-48520 
24-50500 



Years 



51 
52 

53 
54 
55 

56 

% 

59 
60 

61 
62 

63 

^ 
65 

66 

% 

69 
70 

71 
72 
73 
74 
75 

76 

79 
80 

81 
82 

83 

85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 
97 
98 

99 
100 



I 



I 



(71) 



4r/o 



INTEREST TABLES 



Years 



I 

2 

3 
4 
5 

6 

7 
8 

9 

10 

II 

12 

13 
14 
15 

i6 

17 
i8 

19 

20 

21 
22 

23 

24 

25 

26 

27 
28 

29 

30 

31 
32 
33 
34 
35 

36 
37 
38 

39 i 
40 

41 
42 

43 
44 
45 

46 
47 
48 
49 
50 



ONE FOUND 



Amount 



I "04500 
I -09203 
1-14117 
1-19252 
I -246 1 8 

I -30226 
1-36086 
1-42210 
1-48610 

1*55297 

I 62285 
1-69588' 
1*77220 
I -85194 

1 -93528 

2 02237 
2-II338 
2-20848 
2 30786 
2-41171 

2 -52024 
263365 
2-75217 
2-87601 
3-00543 

3-14068 
3-28201 
3-42970 

3-58404 
3-74532 

3-91386 
4-08998 
4-27403 
4-46636 
4-66735 

4-87738 

5 09686 

5 -32622 
5-56590 
5-81636 

6 078 10 
6-35161 

6-63744 
6-93612 
7-24825 

7-57442 
7-91527 

8-27145 
8-64367 

9-03264 



Present Value 



•95694 

•91573 
•87630 

-83856 

-80245 

-76790 

•73483 
-70319 
-67290 

•64393 

-61620 
•58966 
•56427 

•53997 
•51672 

•49447 
•47318 
-45280 

-43330 
-41464 

-39679 
•37970 

•36335 
•34770 

■33273 

•31840 
•30469 

•29157 
-27901 
-26700 

•25550 
-24450 
-23397 
•22390 
•21425 

•20503 
•19620 

-18775 
•17967 

-17193 

-16453 
•15744 
•15066 

•I4417 
•13796 

•13202 
•12634 
•12090 
•I 1569 
•IIO71 



ONE FOUND FEB ANNUM 



Amount 



I'OOOOO 
2 -04500 
3-13702 
427819 
5-47071 

6-71689 

8-01915 

9-38001 

10-80211 

12-28821 

13-84118 

15-46403 
17-15991 

18-93210 
20-78405 

22-71933 
24-74170 
26-85508 
2906356 
31-37142 

33-78314 
36-30338 

3^-93703 
41-68919 

44-56521 

47-57064 
50-71132 

53-99333 
57-42303 
61-00707 

64-75238 
68-66624 
72-75622 
77-03026 
81-49662 

86-16396 

91-04134 

' 96-13820 

loi -46442 
107-03032 

112-84668 
118-92479 
125-27640 

131 -91384 
138-84996 

1 46 0982 1 

153-67263 

161-58790 
169-85935 
178-50303 



For explanation see pp. 8-13 



(72) 



Present Value 



•95694 
I -87267 
2-74896 

3-58753 
4-38998 

5-15787 

5^8927o 
6-59589 
7-26879 
7-91272 

8-52892 

9-11858 

9-68285 

10-22283 

10-73955 

1 1 -23401 
II -70719 
12-15999 
12-59329 
13-00794 

13-40472 
13-78442 
14-14777 

14-49548 
14-82821 

15^14661 
15-45130 
15-74287 
1602189 
1628889 

16-54439 
16-78889 
17-02286 
17-24676 
17-46101 

17-66604 
17-86224 
18-04999 
18-22966 
18-40158 

18-56611 
18-72355 
18-87421 
19-01838 

19-15635 

19-28837 
19-41471 

19-53561 
19-65130 
19-76201 



Years 



I 

2 

3 
4 
5 

6 

I 

9 
10 

II 
12 

13 
14 
15 

16 

17 
18 

19 
20 

21 
22 

23 

24 
25 

26 

27 
28 

29 
30 

31 
32 
33 
34 
35 

36 
37 
38 

39 
40 

41 
42 

43 
44 
45 

46 

48 
49 
SO 



INTEREST TABLES 



4I°A 



Years 



51 
52 

53 
54 
55 

56 

57 
58 

^ 

61 
62 

64 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

81 
82 
83 
84 
«5 

86 

87 
88 

89 
90 



91 
92 

93 
94 
95 

96 

97 
98 

99 
100 



I- 



ONE FOUND 



Amount 



9-43910 

9-86386 

10-30774 

10-77159 

1 1 -2563 1 

1 1 -76284 
12-29217 
12-84532 

13-42336 
14-02741 

14-65864 
15-31828 
16^00760 
16-72794 
17-48070 

18-26733 
19-08936 
19-94838 

20 84606 

21 78413 

22^76442 

23^78882 

24-85931 

25-97798 
27 14699 

28^36861 
29^64520 

30-97923 

32-37329 
33-83009 

35-35245 
36-94331 
38-60576 

40-34302 
42-15845 

44-05558 
46-03808 
48-10980 
50-27474 
52-53710 

5490127 
57-37183 

5995356 
62-65147 

65-47079 

68-41697 

71-49574 

74-71305 
78-07514 

81-58852 



Present Value 



•10594 
•10138 
-09701 
-09284 
-08884 

-08501 
•08135 

•07785 
•07450 
-07129 

-06822 
•06528 
•06247 

•05978 
•05721 

-05474 

-05239 
-05013 

-04797 
•04590 

•04393 
-04204 

-04023 
-03849 
-03684 

•03525 

•03373 
-03228 

-03089 

•02956 

•02829 
•02707 
•02590 

-02479 
-02372 

-02270 
•02172 
-02079 
•01989 
-01903 

-0182I 

-01743 
•01668 

-01596 

-01527 

•01462 
•01399 
•01338 
-01 28 1 
•01226 



ONE FOUND FER ANNUM 



Amount 



187-53566 
196-97477 
20683863 

217-14637 
227^91796 

239-17427 
250-93711 
263^22928 
276-07459 

289-49795 

303-52536 
318-18400 
333-50228 
349-50988 
366-23783 

383-71853 
401 -98586 

421-07523 

441^02362 

461^86968 

483-65381 
506-41823 
530-20706 
555-06637 
581-04436 

608-19136 
. 636-55997 
666-20517 
697-18440 
729-55770 

763-38779 
798-74024 

835-68355 
874-28931 

914-63233 

956-79079 
1000-84637 
1046-88446 
1094-99426 
1 145 -26900 

1 197^8061 1 
1252^70738 
1310^07922 
1370^03278 
1432-68426 

1498-15505 
1566-57202 
163806777 
1712-78082 
1790-85595 



See also Tables on pp. xx-xxxi 



Present Value 



1986795 

19-96933 
20-06634 

2015918 

20-24802 

20-33303 
20-41438 

20-49224 

20-56673 

20-63802 

20-70624 
20^77152 
20-83399 
2089377 
20-95098 

21-00572 
21 -0581 1 
21-10824 
2I-I562I 
2I-;202II 

21-24604 
21-28808 
21-32830 
21-36680 
21-40363 

21^43888 
21^47262 
21^50490 

21-53579 
21-56534 

21-59363 
21-62070 

21-64660 
21-67139 
21-69511 

2I-71781 

21-73953 
21-76032 

21^78021 
21-79924 

21-81746 
21-83489 
21-85156 
21-86753 
21^88280 

21^89742 
2 1^91 140 
21 92479 
21-93760 
21-94985 



Years 



51 
52 

53 
54 
55 

56 

57 

58 

i9 



61 
62 

65 

66 

67 
68 

69 
70 

71 
72 

73 
74 
75 

76 
77 
78 

79 
80 

81 
82 

83 

^ 
85 

86 

87 
88 

89 
90 

91 
92 

93 
94 

95 

96 

99 

100 



|:f 



(73) 



5°/< 



INTEREST TABLES 



Years 



Z 
2 

3 
4 
5 

6 

7 
8 

9 

10 



INTEREST TABLES 



ONE POUND 



Amount 



I "05000 
1*10250 

1-15763 
1-21551 

I -27628 

I -34010 

1*40710 

1-47746 

I -55133 
I -62889 



II 


1-71034 


12 


1-79586 


13 


I -88565 


14 


I '97993 


IS 


2-07893 


16 


2-18287 


17 


2 -29202 


18 


2-40662 


19 


2-52695 


20 


265330 


21 


2-78596 


22 


2 92526 


23 


3-07152 


24 


3-22510 


25 


3-38635 


26 


3-55567 


27 


3-73346 


28 


3-92013 


29 


4*11614 


30 


4-32194 


31 


4-53804 


32 


4-76494 


.13 


5-00319 


34 


5-25335 


3.S 


5-51602 


36 


5-79182 


37 


6-08141 


38 


6-38548 


39 


670475 


40 


7-03999 


41 


7-39199 


42 


7-76159 


43 


8-14967 


44 


8-55715 


45 


8-98501 


46 


943426 


^l 


990597 


48 


10-40127 


49 


10-92133 


50 


1 1 -46740 



Present Value 



•95238 
-90703 
-86384 
*82270 

•78353 

*74622 

•71068 
•67684 

•64461 

-6I39I 

•58468 
-55684 

•53032 
•50507 

-48102 

-45811 
-43630 

•41552 

-39573 
•37689 

•35894 
-34185 

•32557 
•31007 

•29530 

•28124 
-26785 
-25509 
•24295 
•23138 

•22036 
-20987 

-19987 
•19035 

•I8I29 

•17266 
•16444 
•I 5661 

-I49I5 
•14205 

-13528 
•12884 
•12270 

•I 1686 

•III30 
•10600 

•10095 

■09614 
•09156 
•08720 



ONE POUND PEE ANNUM 



Amount 



I -00000 
2-05000 

3-15250 
4-31013 

5-52563 

6^8oi9i 
814201 

9-5491 1 
1 1 02656 

12*57789 

14^20679 

15-91713 
I7^7i298 

19-59863 

21^57856 

23-65749 
25-84037 
28 •13238 
30-53900 
33-06595 

35-71925 
38-50521 

41-43048 

44-50200 

47*72710 

51-11345 
54*66913 

58*40258 

62-32271 

66-43885 

70*76079 
75-29883 
80-06377 
85-06696 
90-32031 

95-83632 
loi -62814 
107-70955 
114-09502 
120-79977 

127-83976 

135-23175 
142^99334 
151-14301 

159-70016 

1 68 685 1 6 
1 78^1 1942 
1 88^02539 
198^42666 
209^34800 



For explanation see pp. 8-13 



Years 



Present Value 

•95238 

I -85941 
2*72325 

3-54595 
4-32948 

5*07569 

5-78637 
6*46321 
7*10782 

7*72173 

8*30641 
8-86325 

9*39357 

9*89864 

10^37966 

1083777 
11-27407 . 
1 1 -68959 
12-08532 
12-46221 

12-82115 
13-16300 
13*48857 
13-79864 
14-09394 

14-37518 

14-64303 
14-89813 

15-14107 

15-37245 

15-59281 
15-80268 
16-00255 
16-19290 
16-37419 

16-54685 
i6^7ii29 
1686789 
1 7^01704 
1715909 

17-29437 
1 7^4232 1 

17-54591 
17-66277 

17-77407 

17-88007 
17-98101 
18-07716 
18-16872 
18-2J592 



5°/o 



I 

2 

3 
4 
5 

6 

7 
8 

9 
10 

II 
12 

13 
14 
15 

16 

17 
18 

19 
20 

21 
22 

23 

24 

25 
26 

27 
28 

29 
30 

31 
32 
33 

3^ 

36 
37 
38 

39 

40 

41 
42 
43 
44 
45 

46 

47 
48 

49 
50 



(74) 



Years 



SI 
52 
S3 

54 
55 

S6 

57 

59 
60 

61 
62 
63 

65 
66 

57 
68 

69 
70 

71 
72 
73 
74 
75 

-76 
77 
78 



81 
82 

83 

2^ 
85 

86 

87 
88 

89 
90 

91 
92 

93 
94 
95 

96 
97 
98 

99 
100 



ONE POUND 



Amount 



12-04077 
12-64281 

13-27495 
13-93870 
14-63563 

15-36741 
16-13578 
16*94257 

17-78970 
i8^679i9 

19-61315 
20-59380 
2i^62349 
22-70467 
23-83990 

25-03190 
26-28349 
27*59766 

28*97755 
30-42643 

31-94775 

33-54513 
35-22239 

36^98351 
3883269 

40-77432 
42-81304 

44-95369 
47-20137 

49-56144 

52-03951 
54^64149 

57-37356 
60-24224 

63-25435 

66^41707 

69-73792 
73-22482 
76-88606 
80-73037 

84 76688 
89-00523 

93 45549 

98-12826 

103-03468 

108-18641 

113-59573 
119-27552 
125*23929 
131 50126 



Present Value 



•08305 
•07910 

•07533 
•07174 
•06833 

•06507 
•06197 
•05902 
•05621 
*o5354 

•05099 
•04856 
•04625 
•04404 

*0419S 

*03995 
-03805 

•03623 

-03451 
•03287 

•03130 
•02981 
•02839 
•02704 

*o257S 

*o2453 
•02336 

*02225 

•021 19 
•02018 

*OI922 
•01830 
-01743 

*oi66o 
•01581 

•01506 

*oi434 
•01366 
•01301 
•01239 

•01 180 
•01 124 
•01070 
•01019 
•00971 

•00924 
•00880 
•00838 
•00798 
•00760 



ONE POUND PEE ANNUM 



Amount 



220-81540 
232-85617 

245*49897 
258-77392 
272-71262 

287-34825 
302-71566 
318-85144 
335-79402 
353-58372 

372-26290 
391-87605 
412-46985 
434*09334 
456-79801 

480-63791 
505-66981 
531-95330 
559-55096 
588-52851 

618-95494 
650-90268 

684-44782 

719-67021 

756-65372 

795-48640 
836*26072 

879-07376 
924*02745 
971*22882 

1020*79026 
1072^82978 
1127-47126 
1 184^84483 
1245^08707 

1 308^34 142 

1374-75849 
1444^49642 

1517*72124 

1594-60730 

1675-33767 
1760*10455 

1 849 •10978 
1942*56527 
204069353 

2 143^7282 1 
2251*91462 

2365-51035 
2484*78586 

2610*02516 



Present Value 



18*33898 
18*41807 
18-49340 
18-56514 
1^-63347 

18-69854 
18-76052 
18-81954 

18-87575 
18-92929 

18-98027 
19-02883 
19-07508 
19-11912 
19-16107 

19-20102 
19-23907 
19-27530 
19-30981 
19^34268 

19*37398 

19-40379 
I9^432i8 

19-45922 

19-48497 

19-50949 
19-53285 
19*55510 
19-57628 

19-59646 

19^6 1 568 

19-63398 
I9^65i4i 
19-66801 
19-68382 

19-69887 
19-71321 
19-72687 

19-73987 
19-75226 

19-76406 

19-77529 

19-78599 
19-79618 
19*80589 

19-81513 
19*82394 
1983232 
19-84030 
19-84791 



Yean 



SI 

52 

S3 
54 
SS 

56 

57 

58 



61 
62 

66 



69 

70 

71 
72 
73 
74 
75 

76 

77 
78 

79 
80 

81 
82 

83 

84 
85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 

97 
98 

99 
100 



See also Tables on pp. xx-xxxi 



(75) 



II 



6% 



INTEBEST TABLES 



INTEREST TABLES 



Years 



I 

2 

3 

4 
5 

6 

7 
8 

9 

10 

II 

12 

13 
14 
IS 

i6 

17 
x8 

19 

20 

21 
22 

23 
24 
25 

26 

27 
28 

29 
30 

31 
32 

33 
34 

35 

36 

37 
38 

39 

40 i 

41 ! 

42 

43 

44 

45 

46 

47 
48 

49 

so 



ONE FOUND 



ONE POUND PER ANNUM 



Amount 



I '06000 
I "12360 
I'I9I02 
I 26248 
I 33823 

1*41852 

1-50363 

» 59385 
1-68948 

179085 

1 -89830 

2 01220 
2 13293 
2-26090 
2-39656 

2-54035 
2-69277 

2-85434 
3-02560 
3-20714 

3-39956 
3-60354 

3-81975 
4-04893 
4-29187 

4-54938 
4-82235 

5-11169 

5-41839 

5-74349 

6 -088 10 

6-45339 
6 84059 

7-25103 

7-68609 

8-14725 
8*63609 
9-15425 
9-70351 
10-28572 

10-90286 

11-55703 
12-25045 
12-98548 
13-76461 

14-59049 
15-46592 

16-39387 
17-37750 
18*42015 



Present Value 



•94340 

*890oo 
-83962 
•79209 
-74726 

-70496 
-66506 
-62741 
•59190 

•55839 

•52679 

•49697 
•46884 
-44230 
•,41727 

•39365 
•37136 
-35034 

•33051 
•31180 

•29416 
•27751 
•26180 
•24698 
-23300 

-21981 
•20737 

•19563 
-18456 
•17411 

•16425 

•15496 
•14619 

-13791 
•13011 

•12274 

•11579 
•10924 

•10306 

•09722 

•09172 
•08653 
•08163 
•07701 
07265 

•06854 
•06466 
•06100 

•05755 
-05429 



Tears 



Amount 



1 •00000 

2 06000 
3-18360 
4-37462 
563709 

6-97532 

8*39384 

989747 

11*49132 

13-18079 

14-97164 
16-86994 
18*88214 
21-01507 

23-27597 

25-67253 
28*21288 

3090565 
33-75999 
36-78559 

39-99273 
43-39229 
46-99583 

50^8i558 
54-86451 

59-15638 
63-70577 
68*52811 
73-63980 
79-05819 

84^80168 

90-88978 

97-34316 

104-18375 

111-43478 

1 19-12087 
127-26812 
135*90421 
145-05846 

I54^76i97 
165-04768 

I 75^95054 
187-50758 
199-75803 
212-74351 

226-50812 
241 09861 

256-56453 
272-95841 

290-33590 



For explanation see pp. 8-13 



Present Value 



•94340 
1-83339 
2*67301 

3-46511 
421236 

4-91732 
5-58238 
6^20979 
6*80169 
7-36009 

7*88687 

8-38384 
8*85268 

9-29498 
9*71225 

10-10590 
10-47726 
10-82760 
II-15812 
1 1 -46992 

1 1 -76408 
12*04158 
12-30338 
12-55036 
12-78336 

13-00317 
13-21053 
13-40616 
13-59072 
13^76483 

13-92909 
14-08404 
14-23023 
14-36814 
14-49825 

14*62099 
14-73678 
14-84602 

14-94907 
15*04630 

15-13802 
15-22454 

i5'3o6i7 
I5^383i8 
15-45583 

15-52437 
15-58903 
15*65003 

15-70757 
15-76186 



I 

2 

3 

4 
5 

6 

7 
8 

9 
10 

II 
12 

13 
14 
15 

16 

17 
18 

19 
20 

21 
22 

23 
24 
25 

26 

29 
30 

31 
32 
33 
34 
35 

36 
37 
38 
39 
40 

41 
42 

43 
44 
45 

46 

47 
48 

49 
SO 



(76) 




e^A 



ONE POUND 



ONE POUND PER ANNUM 



Amount 



Present Value 



Amount 



I9^52536 
20-69689 
21-93870 
23-25502 
24-65032 

26-12934 

27-69710 

29-35893 
31-12046 

32-98769 

3496695 
37-06497 
39-28887 
41-64620 
44-14497 

46-79367 
49-60129 

52-57737 
55-73201 

59^07593 

62 -62049 
66-37772 
70-36038 
74*58200 
79-05692 

83-80034 
88-82836 
94-15806 
99-80754 

105-79599 

12-14375 

18-87238 

126-00472 

f 33 -56500 

[41-57890 

[50-07364 
[59-07806 
[68-72274 
[78-74010 
[89-46451 

200-83238 
212-88232 
225-65526 

239-19458 
253-54625 

268-75903 
284-88457 
301 -97765 
320-09631 
339-30208 



-05122 
-04832 

•04558 
-04300 

•04057 

-03827 
•03610 
•03406 
•63213 
•03031 

•02860 
•02698 

•02545 
•02401 

•02265 

•02137 
•02016 
'01902 
•01794 
•01693 

•01597 
•01507 
•0142 1 
•01341 
•01265 

•01 193 

•01 126 
•01062 
•01002 
•00945 

•00892 
•00841 
•00794 

•00749 
•00706 

-00666 
-00629 

-00593 
•00559 
-00528 

-00498 
-00470 
•00443 
-00418 
•00394 

•00372 
•00351 
•00331 
-00312 
•00295 



308-75606 
328-28142 

348-97831 
370-91701 
394^17203 

418-82235 
444-95169 
472-64879 
502-00772 
533-12818 

566-11587 
6oi^o8282 

638-14779 
677-43666 

719-08286 

763-22783 
810-02150 
859-62279 
912-20016 
967-93217 

1027 -008 10 
1089-62859 
1 1 56 -00630 
1226-36668 
1300-94868 

1380-00560 
1463-80594 
1552-63429 
1646-79235 

1746-59989 

1852-39588 

1964-53964 
2083-41202 
2209-41674 

2342-98174 

2484-56065 
2634 63428 
2793-71234 
2962-33508 

3 141 -07519 

3330-53970 
3531-37208 

3744-25441 
3969-90967 
4209-10425 

4462-65050 

4731-40953 
5016 -2941 1 

5318-27175 

5638-36806 



Present Value 



Years 



15-81308 
15-86139 
15-90697 
15-94998 
15-99054 

1 6 0288 1 
16*06492 
16-09898 
16-13111 
16-16143 

16-19003 
16-21701 
16-24246 
16-26647 
16-28912 

16-31049 
16-33065 
16-34967 
16-36792 
16-38454 

16-40051 
16-41 158 
16-42979 
16-44320 
16-45585 

16-46778 

16-47904 
16-48966 
16-49968 
16-50913 

16-51805 
16-52646 

16-53440 
16-54188 
16-54895 

16-55561 
16-56190 
16-56783 

16-57342 
16-57870 

16-58368 
16*58838 
16-59281 
16-59699 
16-60093 

16-60465 
16-60816 
16-61 147 
16-61460 
16*61755 



See afso Tables on pp. xx-xxxl 



51 
52 

53 
54 
55 

56 
57 
58 
59 
60 

61 
62 

63 

^ 
65 

66 

67 
68 

69 
70 

71 

72 

73 
74 
75 

76 
77 
78 

79 
80 

81 
82 

83 
84 
85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 

97 
98 

99 

100 



111 



(77> 



7°/o 



INTEREST TABLES 



INTEREST TABLES 



1 



Years 



I 
2 

3 
4 
5 

6 

7 
8 

9 

10 

II 

12 

13 
14 
15 

i6 

\l 

19 

20 

21 
22 

23 

24 

25 

26 

27 
28 

29 
30 

31 
32 

33 
34 
35 

36 

39 
40 

41 
42 
43 
44 
45 

46 

47 
48 

49 
50 



ONE POUND 



Amount 



I-07CXX) 
1-14490 
I 22504 
1-31080 
I -40255 

I -50073 
I -60578 
1-71819 

1 -83846 
I -967 1 5 

2-10485 
2-25219 

2 -40985 

2-57853 
2-75903 

2-95216 
3-15882 

3*37993 
3'6i653 

3-86968 

4-14056 
4-43040 

474053 
5-07237 
5-42743 

5-80735 
6-21387 

6-64884 

7 -1 1426 

7-61226 

8-14511 
8-71527 

9-32534 
9 -978 1 1 

10-67658 

1 1 -42394 
12-22362 

13-07927 
13-99482 

14-97446 

16-02267 
17-14426 

18-34435 
19-62846 

21-00245 

22-47262 
24-04571 
2572891 

27-52993 
29-45703 



Present Value 

•93458 

-87344 
•81630 
-76290 
-71299 

-66634 
-62275 
-58201 

•54393 
•50835 

•47509 
-44401 

-41496 
•38782 

•36245 

33^73 
-31657 
-29586 
-27651 
-25842 

-24151 
•22571 
•21095 

•19715 
•18425 

-17220 
-16093 
•15040 
•14056 
•13137 

-12277 
-1 1474 
•10723 
•10022 
■09366 

•08754 
•08181 
•07646 
•07146 
•06678 

•06241 
-05833 

•05451 
•05095 

•04761 

•04450 

•04159 
•03887 

•03632 
•03395 



For explanation see pp. 8-13 



ONE FOUND PER ANNUM 



Amount 



I'OOOOO 

2^07000 
3 •21490 

4^43994 
5-75074 

7-15329 
8-65402 

10-25980 
11-97799 
13-81645 

15-78360 

17-88845 
20-14064 
22-55049 
25-12902 

27-88805 
30-84022 

3399903 
37-37896 

40-99549 

44-86518 
49-00574 

53-43614 
58-17667 

63-24904 

68-67647 
74-48382 
80-69769 

87-34653 
94-46079 

102-07304 
iio^2i8i5 

118-93343 
1 28^25876 

138^23688 

148-91346 
160-33740 
172-56102 
185-64029 
199-6351 1 

214-60957 
230-63224 
247-77650 
266-12085 

285-74931 

306-75176 
329-22439 
353-27009 
378-99900 
406-52893 



(78) • 



Present Value 

•93458 

1 -80802 

2 -62432 
3-38721 
4-10020 

4-76654 

5^38929 
5-97130 

651523 
7-02358 

7-49867 
7-94269 

8-35765 

8-74547 
9-10791 

9-44665 

9-76322 

10-05909 

10-33560 

10-59401 

10-83553 
11-06124 

II^272I9 

1 1 -46933 
1 1 -65358 

1 1^82578 

ir98^7i 
I2^i37ii 
12^27767 
12^40904 

12*53181 
12-64656 

12-75379 
12-85401 

12^94767 

1 3 0352 1 
13-11702 

13-19347 
13-26493 

13-33171 
13-39412 

13-45245 
13-50696 

13-55791 
13-60552 

13-65002 
13-69161 

13-73047 
13-76680 

13^80075 



Years 



I 

2 

3 

'4 
5 

6 

7 
8 

9 
10 

II 
12 

13 
14 

15 

16 

17 
18 

19 
20 

21 
22 

23 
24 
25 

26 

29 
30 

31 
32 

33 

34 
35 

36 



39 
40 

41 
42 

43 
44 
45 

46 

% 

49 
SO 




7°/o 



51 
52 

S3 
54 
5S 

56 
57 



61 
62 

65 
66 

u 

69 

70 

71 
72 

73 

74 
75 

76 
77 
78 

^ 

81 
82 

83 
84 

85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 

97 

98 

99 

100 



ONE POUND 



ONE POUND PEE ANNUM 



Amount 



31*51902 

3372535 
36^08612 

38^6i2i5 
4i^3i5oo 

44-20705 

47-30155 
50-61265 

54-15554 
57^94644 

62-00267 
66-34286 
70-98686 

75^95594 
81-27285 

86-96195 

93-04929 

99^56274 

106-53213 

113-98938 

121-96864 
130-50644 
139-64189 
149-41682 
159-87600 

171-06732 
183-04203 

195-85498 
209-56483 

224-23437 

239-93077 
256-72592 
274-69674 

293^92551 
314-50029 

336-51531 
360-07139 

385-27638 
412-24573 
441-10293 

471*98014 
50501875 
540-37006 
578-19596 
618-66968 

661 -97656 
708-31492 
757-89696 

810-94975 
867-71623 



Present Value 



•03173 
•02965 
•02771 
•02590 
•02420 

•02262 
•02 1 14 
•01976 
•01847 
•01726 

•OI613 
-01507 
-01409 
•01317 
•01230 

•01 150 
•01075 
•01004 
•00939 
•00877 

•00820 
•00766 
•00716 
•00669 
•00625 

•00585 
•00546 
•005 1 1 
•00477 
•00446 

•00417 
•00390 
•00364 
•00340 
•00318 

•00297 
•00278 
•00260 
•00243 
•00227 

•00212 
•00198 
•00185 
•00173 
•00162 

•001 5 1 
•OOI41 
-00132 
•00123 

-001 15 



See also Tables on pp. xx-xxxf 



Amount 



435-98595 
467-50497 

501 -23032 

537-31644 
575*92859 

617-24359 
661 45065 
708-75219 

759^36484 
813-52038 

87 1^4668 1 

933-46949 
999-81235 

1070^79922 

1 146-75516 

1228-02802 
1 3 14 -98998 
1408-03928 
1507^60203 
1614-13417 

I728'i2357 
1 850^09222 
1980^59867 
2 1 20^24058 
2269^65742 

2429-53344 
26oo^6oo78 
2783^64283 

2979-49783 
3 1 89^06268 

34 1 3^29707 
3653 22786 

3909-95381 
4184-65058 
4478-57612 

4793^07645 
5129-59180 
548966323 
5874-93965 
6287-18543 

6728-28841 
7200-26859 
7705 -28740 

8245-65751 
8823-85354 

9442-52329 
10104-49992 
10812-81491 
11570-71196 
12381 -66179 



(79) 



Present Value 



13-83247 
13-86212 
13-88984 

13-91573 
13-93994 

13-96256 

13-98370 
14-00346 
14-02192 
14 03918 

14-05531 
14-07038 
14-08447 
14-09764 
14-10994 

I4-I2144 

I4-13219 
14-14223 

14-15162 

14-16039 

14-16859 
14-17625 
I4-18341 
I4-19010 
14-19636 

14-20220 
14-20767 
14-21277 
14-21755 
14-22201 

14-22617 
14-23007 
14-23371 
I4-23711 
14-24029 

1424326 
14*24604 
14^24863 
14-25106 

14-25333 

14-25545 
14-25743 
14-25928 

14-26101 
14-26262 

14-26413 
14-26555 
14-26686 
14-26810 
14-26925 



Years 



51 
52 

53 
54 
55 

56 
57 
58 

59 
60 

61 
62 

65 
66 



69 

I 70 

71 
72 

74 
I 75 

i y6 

77 
78 

79 
80 

81 

82 

83 

85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 
97 
98 

99 
100 



8°/. 



INTEREST TABLES 



Interest tables 



For explanation see pp. 8-13 



(80) 





ONE POITNO 


ONE POUND FEB ANNUM 




Years 










Years 

• 


Amount 


Present Value 


Amount 


Present Value 


I 


I -08000 


•92593 


I'OOOOO 


•92593 


I 


2 


1-16640 


•85734 


2^08000 


I -78326 


2 


3 


I -25971 


•79383 


3-24640 


2-57710 


3 


4 


1-36049 


•73503 


4*50611 


3'3i2i3 


4 
5 


5 


1-46933 


•68058 


5-86660 


3-99271 


6 


I -58687 


•63017 


! 7*33593 


4-62288 


6 


I 


I -71382 


•58349 


8-92280 


5-20637 


7 


1-85093 


•54027 


1 10-63663 


5-74664 


8 


9 


1-99900 


•50025 


i 12-48756 


6-24689 


9 
10 


10 


2-15892 

i 


•46319 


14-48656 


6-71008 


II 


2-33164 


•42888 


16-64549 


7-13896 


II 


12 


2-51817 


•397 1 1 


18-97713 


7-53608 


12 


13 


2-71962 


■36770 


21^49530 


790378 


13 


14 


2-93719 


•34046 


24-21492 


8-24424 


'4 


16 


3-17217 


•31524 


27-15211 


8-55948 


15 


16 


3-42594 


-29189 


30^32428 


3-85137 


16 


^l 


3-70002 


•27027 


3375023 


9-I2I64 


17 


18 


3-99602 


•25025 


37-45024 


9-37189 


il 


»9 


4-31570 


•23171 


41^44626 


9-60360 


19 


20 


4-66096 


•21455 


45-76196 


9-81815 


20 


21 


5-03383 


•19866 


50-42292 


10-01680 


21 


22 


5-43654 


•18394 


55^45676 


10-20074 


22 


23 


5-87146 


•17032 


60-89330 


10-37106 


23 


24 


6-341 18 


•15770 


66-76476 


10-52876 


24 


25 


6-84848 


•14602 


73^10594 


10-67478 


25 


26 


7-39635 


•13520 


7995442 


10-80998 


26 


27 


7-98806 


•I2519 


87-35077 


io^9.35i6 


27 


28 


8-62711 


-11591 


95^33883 


11-05108 


28 


29 


9-31727 


•10733 


103-96593 


11-15841 


29 


30 


10-06266 


-09938 


1 13-28321 


11-25778 


30 


31 


10-86767 


-09202 


123-34587 


11-34980 


31 


32 


11-73708 


•08520 


1 34^2 1 354 


11-43500 


32 


33 


12-67605 


•07889 


145-95062 


II -51389 


33 


34 


13-69013 


•07305 


158-62667 


1 1 58693 


34 


35 


14-78534 


•06763 


172-31680 


11-65457 


35 


36 


15-96817 


-06262 


187-10215 


11-71719 


36 


37 


17-24563 


•05799 


203 -07032 


1 1 -77518 


%0 


38 


18-62528 


•05369 


220-31595 


1 1 82887 


2S 


39 


20-11530 


-04971 


238-94122 


11-87858 


39 


40 


21-72452 


-Q4603 


259-05652 


1 1 -92461 


40 


41 


23-46248 


•04262 


280-78104 


11-96723 


41 


42 


25-33948 


•03946 


304-24352 


12-00670 


42 


43 


27-36664 


•03654 


329-58301 


12-04324 


43 


44 


29-55597 


•03383 


35694965 


12-07707 


44 


45 


31-92045 


•03133 


386 50562 


12-10840 


45 


46 


34-47409 


-02901 j 


418-42607 


12-13741 


46 


47 


37-23201 


-02686 


452-90015 


12-16427 


47 


48 


40-21057 


•02487 


490-13216 


12-18914 


48 


49 


43-42742 


•02303 


530-34274 


12-21216 


49 


50 


46-90161 


•02132 


573-77016 


12-23348 


5^ 



87< 



Years 



SI 

52 

53 
54 
55 

56 
60 

61 
62 

64 

65 

66 

$7 
68 

69 
70 

71 
72 
73 

74 
75 

76 
77 
78 

79 
80 

81 
82 

84 

85 

86 

87 
88 

89 
90 

91 { 
92 

93 I 

94 I 
95 

96 

97 
98 

99 
too 



ONE POUND 



Amount 



5065374 
54-70604 
59-08252 
63-80913 
68-91386 

74-42696 
80-38112 
86-81161 

93-75654 
101-25706 

109-35763 
118-10624 

127-55474 
137-75912 

148-77985 

160-68223 
I73^5368i 
187-41976 
202-41334 
218-60641 

236-09492 
254-98251 

275-38111 
297-41160 
321-20453 

346 90089 
374-65296 
404-62520 
43699522 
471-95483 

509-71122 
550-48812 

594-52717 
642 '08934 

693-45649 

748^93301 
808-84765 

873^55546 

943^43990 

1018-91509 

100-42830 
188-46256 

283-53956 
386-22273 
497-12055 

616-89019 

746-24141 

885 -94072 

2036-81598 

2199-76126 



Present Value 



-01974 
•01828 
-01693 
-01567 
•OI451 

-01344 
-01244 

-01 152 

-01067 

•00988 

-00914 
-00847 
•00784 
•00726 
•00672 

•00622 
-00576 

•00534 
-00494 

•00457 

•00424 
-00392 
•00363 
•00336 
•003 1 1 

•00288 
•00267 
•00247 
00229 
•00212 

-00196 
-00182 
-00168 
•00156 
-00144 

•00134 
•00124 
•00114 
•00106 
•00098 

•00091 
•00084 
•00078 
•00072 
•00067 

•00062 
-00057 
-00053 
•00049 
•00045 



ONE POUND PER ANNUM 



Amount 



620^67177 

671-32551 
726^03x55 

785-11408 

848-92320 

917-83706 

992 -26402 

1072 645 14 

1 1 59 -45676 
1253-21330 

1354-47036 
1463^82799 
1 58 1 -93423 
1709-48897 
1847-24808 

1996-02793 
2156-71016 
2330^24698 
2517^66673 
2720-08007 

293868648 

3174-78140 
3429-76391 
3705-14502 
4002-55662 

4323-76115 
4670-66205 

5045-31501 
5449-94021 
5886-93543 

6358-89026 
6868-60148 
7419-08960 
8013 -61677 
8655-70611 

9349-16260 
10098-09561 
10906-94326 
11780-49872 
12723-93862 

13742-85370 
14843-28200 
16031-74456 

17315^28413 
18701-50686 

20198-62740 
21815-51760 
23561-75900 
25447-69972 
27484-51570 



See also Tables on pp. xx-xxxi 



Present Value 



12-25323 
12-27151 
12-28843 
12-30410 
I2-31861 

12-33205 
12-34449 
12-35601 
12-36668 

12-37655 

12-38570 
12-39416 
12-40200 
12-40926 
12-41598 

12-42221 
12-42797 

1243330 
12-43824 
12-44282 

12-44705 
12-45098 
12-45461 
1245797 
12-46108 

12-46397 
12-46664 
12-46911 
12-47139 

12-47351 

12-47548. 

12-47729 

12-47897 

12-48053 

12-48197 

12-48331 

12-48455 
12-48569 

12-48675 
12-48773 

12-48864 
12-48948 
12-49026 
12-49098 
1249165 

12-49227 
12-49284 

12-49337 
12-49386 

12-49432 



Years 



51 
52 

53 
54 
55 

56 

57 
58 

60 
6i 

62 

64 
6s 

66 
67 
68 
69 
70 

71 
72 

73 
74 
75 

76 

77 
78 

79 
80 

81 
82 

83 

^ 
85 

86 

87 
88 

89 
90 

91 
92 

93 
94 
95 

96 

97 
98 

99 
100 



11 

1 



I 



(81) 



'h 



9°/o 



INTEREST TABLES 



For explanation see pp. 8-13 





ONE POUND 


ONE FOUND 


PER ANNUM 




Years 










Years 


Amount 


Present Value 


Amonnt 


Present Value 


I 


1*09000 


•91743 


i-ooooo 


-91743 


I 


2 


I -18810 


-84168 


2^09000 


I -7591 1 


2 


3 


I 29503 


•77218 


327810 


2 53 I 29 


3 


4 


1-41158 


•70843 


4^573i3 


3-23972 


4 


S 


1-53862 


•64993 


5-98471 


3-88965 


5 


6 


1-67710 


•59627 


7-52333 


4-48592 


6 


7 


I -82804 


•54703 


920043 


5-03295 


7 


8 


I -99256 


-50187 


1 1 ^02847 


5^53482 


8 


9 


2-17189 


•46043 


1 3^02104 


5-99525 


9 


10 


2-36736 


-422/I I 


I5^i9293 


6 4 I 766 


10 


II 


2-58043 


•38753 


17-56029 


6-80519 


II 


12 


2-81266 


•35553 


20 •14072 


7-16073 


12 


13 


3-06580 


•32618 


22^95338 


7*48690 


13 


14 


3'34i>3 


•29925 


26 01919 


7-78615 


14 


IS 


3-64248 


•27454 


29 36092 


8-06069 


1 

15 


16 


3-97031 


-25187 


33-00340 


8 •31356 


16 


'2 


4-32763 


•23107 


36-97370 


8-54363 


17 


18 


4-71712 


-21 199 


41-30134 


8-75563 


18 


19 


5-14166 


-19449 


46^01846 


8-95011 


19 


20 


5-60441 


•17843 


5i^i6oi2 


9-12855 


20 


21 


6-io88i 


•16370 


56-76453 


9-29224 


21 


22 


6-65860 


•I5OI8 


62-87334 


9-44243 


22 


23 


T^n^i 


■1377^ 


69-53914 


9-58021 


23 


24 


7-91108 


•12640 


76 7898 I 


970661 


24 


25 


8-62308 


•I 1597 


84^70090 


9^82258 


25 


26 


9-39916 


•10639 


93-32398 


9-92897 


26 


s 


10-24508 


•09761 


I02^723i3 


1002658 


27 


11-16714 


•08955 


1 12^96822 


io^ir6i3 


28 


29 


12-17218 


•08215 


124-13536 


io^i9828 


20 


30 


13-26768 


•07537 


136-30754 


1027365 


30 


31 


14-46177 


•06915 


149-57522 


10^34280 


31 


32 


15-76333 


•06344 


16403699 


10^40624 


32 


33 


17-18203 


•05820 


179-80032 


10^46444 - 


33 


34 


1 8 72841 , 


•05339 


196-98234 


10-51784 


34 


35 


20-41397 


•04899 


215-71075 


10^56682 


35 


36 


22-25123 


•04494 


236 • 1 2472 


• 1061176 


36 


37 


24-25384 


•04123 


258-37595 


10-65299 


37 


38 


26-43668 


•03783 


282^62978 


10-69082 


38 


39 


28-81598 


•03470 


30906646 


10-72552 


39 


40 


31-40942 


-03184 


337-88245 


10-75736 


40 


41 


lA-izdz-j 


•02921 


369^29187 


io^78657 


41 


42 


37-3^753 


•02680 


403-52813 


10-81337 


42 


43 


40-67611 


•02458 


440^84566 


1083795 


43 


44 


44-33696 


•02255 


481-52177 


10-86051 


44 
45 


45 


48-32729 


•02069 


525-85873 


10-88120 


46 


52-67674 


•01898 


574^18602 


10-90018 


46 

47 


^ 


57-41765 


•01742 


626^86276 


10-91760 


62-58524 


•01598 


684 •28041 


10-93358 


48 


49 


68-21791 


-01466 


74686565 


10-94823 


49 


SO 


74-35752 


•01345 


81508356 


10-96168 


50 



INTEREST TABLES 



9°A 



I 



t 



(82} 



Years 



51 
52 

53 
54 
55 

56 
57 
58 
59 
60 

61 

62 

65 
66 

$7 
68 

69 
70 

71 
72 

73 

74 
75 

76 

79 
80 

81 
82 

P 

85 
86 

U 

89 
90 

91 
92 
93 
94 
95 

96 

u 

99 
100 



ONE POUND 



Amount 



81-04970 

88-34417 
9629514 

104-96171 

114*40826 

1 24^70501 
135^92846 
1 48 •I 6202 
161-49660 
176-03129 

191*87411 
209-14278 
227-96563 
248-48253 
270-84596 

295*22210 
321-79209 

350-75338 
382-32118 
416-73009 

454-23579 
495*11702 

539-67755 
588-24853 

641-19089 

698-89807 
761-79890 
830-36080 
90509327 
986-55167 

1075-34132 
1172*12204 
1277 -61302 

1392-59819 
1517 •-93203 

1654^5459 1 
1803*45504 

1965*76600 

2142-68494 

2335^52658 

2545^72397 
2774^839x3 

3024-57465 
3296-78637 

3593-49715 

3916*91189 
4269*43396 
4653-68302 

5072*51449 
5529*04079 



Present Value 



•01234 
*OII32 

•01038 

-00953 
•00874 

•00802 
•00736 

•00675 

•00619 
•00568 

•00521 
•00478 

•00439 

•00402 

•00369 
•00339 

-00311 
*oo285 
•00262 
•00240 

•00220 
•00202 
•00185 
•00170 
•00156 

•00143 
•00131 
•00120 
•001 10 
•ooioi 

*ooo93 
•00085 
-00078 
•00072 
•00066 

•00060 
•00055 
•00051 
•00047 
-00043 

•00039 
*ooo36 
•00033 
•00030 
•00028 

*00026 

•00023 

•00021 
•00020 

*oooi8 



ONE POUND PEE ANNUM 



Amount 



889*44108 

970*49077 

1 058^83494 

ii55'i3oo9 
1260-09180 

1374*50006 
1499-20506 
1635-13352 
1783-29553 
1944-79213 

2120-82342 
2312-69753 
2521-84031 
2749-80594 
2998^28847 

3269^13444 

3564-35654 
3886^14862 
4236*90200 
46i9^223i8 

5035-95327 
5490-18906 
5985-30608 
6524-98362 
7ii3*232i5 

7754^42304 

8453*32112 

9215-12002 

10045-48082 

10950-57409 

1 1937-12576 
13012-46708 
I4i84^589ii 
1 5462^202 1 3 
16854^80033 

18372^73236 
20027-27827 
21830*73331 
23796*49931 
25939-18425 

28274*71083 
•30820*43481 

33595*27394 
36619*84859 

39916*63497 

43510-13211 
47427-04400 
51696*47796 
56350*16098 
61422*67547 



Present Value 



10-97402 

10-98534 

10-99573 
1 1 -00525 

1 1 -01399 

1 1 -02201 
1 1 -02937 
11-03612 
iro423i 
1 1 ^04799 



Years 



51 
52 
53 
54 
55 

56 
57 
58 

59 
60 



6ee also Tables on pp. xx-zzxi 



1 1 -05320 


1 61 


1 1 -05798 


1 62 


1 1 06237 


63 


1 1 -06640 


64 


1 1 -07009 


65 


1 1 -07347 


66 


1 1 -07658 


67 


11-07943 


68 


1 1 -08205 


69 


1 1 -08445 


70 


11-08665 


71 


1 1 ^08867 


72 


1 1 09052 


73 


1 1 -09222 


74 


11-09378 


75 


1 1 09521 


76 


1 1 -09653 


^ 


1 1 -09773 


1 1 09883 


79 


• 1 1 -09985 


80 


11-10078 


81 


11*10163 


82 


11-10241 


83 


11-10313 


84 


1 1 -10379 


85 


ii^i044o 


86 


IIT0495 


87 


II -10546 


88 


II -10593 


89 


11-10635 


90 


11-106/5 


91 


11-10711 


92 


11-10744 


93 


II -10774 


94 


II -10802 


95 


11-10827 


96 


11 -10851 


U 


ii^io872 


11-10892 


99 


11-10910 


100 



1i 



t^ 



i r 

t 

) 



' ' I 



I « 



(83) 



D2 



107< 



INTEKEST TABLES 





ONE POUND 


ONE POUND 


PEE ANNUM 


1 1 

1 


Tears 










.j Tears 


1 Amount 


Present Value 


Amount 


Present Value 


I 


I-IOCXK) 


•90909 


I^OOOOO 


•90909 


I 


2 


I-2IOOO 


-82645 


2^10000 


1-73554 


2 


3 


1-33100 


•75131 


3-31000 


2^48685 


3 


4 


1-46410 


-68301 


4-64100 


3-16987 


4 


5 


I -6105 1 


-62092 


6-10510 


3^79079 


5 


6 


I 77156 


•56447 


7-71561 


4^35526 


6 


7 


I -94872 


-51316 


9-48717 


4^86842 


7 


8 


2-14359 


-46651 


11-43589 


5*33493 


8 


' 9 


2-35795 


-42410 


13^57948 


1 5-75902 


9 


' 10 


2-59374 


•38554 


1 5^93742 


1 6^14457 


10 


II 


2-85312 


-35049 


18-53117 


j 6^49506 


II 


12 


3-13843 


•31863 


21-38428 


! 6^81369 


12 


1 ^3 


3-45227 


•28966 


24-52271 


1 7-10336 


13 


4 


3-79750 


•26333 


27-97498 


7*36669 


1 14 


1 ■ 

IS 


4-17725 


I -23939 


31-77248 


7^60608 


IS 


i6 


4*59497 


-21763 


35*94973 


7-82371 


16 


17 


5-05447 


-19784 


40^54470 


8-02155 


17 


i8 


5-55992 


-17986 


45-59917 


8-20141 


18 


19 


6-11591 


•16351 


51-15909 


8^36492 


19 


20 


6-72750 


-14864 


57-27500 


8-51356 


20 


21 


7-40025 


-13513 


64^00250 


864869 


21 


22 


8-14027 


-12285 


71-40275 


8-77154 


22 


23 


8-95430 


-II168 


79-54302 


8-88322 


23 


24 


9-84973 


-IOI53 


88-49733 


8*98474 


24 


2S 


10-83471 


-09230 


98-34706 


9*07704 


2S 


26 


11-91818 


-08391 


109-18177 


916095 


26 


27 


13-10999 


-07628 


i2i^o9994 


9-23722 


27 


28 


14-42099 


-06934 


134-20994 


9-30657 


28 


29 


15-86309 


•06304 


148-63093 


9*36961 


29 


30 


17-44940 


-05731 


164-49402 


9-42691 


30 


31 


19-19434 


•05210 


i8r94342 


9-47901 


31 


32 


21-11378 1 


-04736 


201-13777 


9-52638 


32 


33 


23-22515 


-04306 


222-25154 


9-56943 


33 


34 


25-54767 


-03914 


245-47670 


9-60857 


34 


35 


28-10244 


•03558 


27^02437 


964416 


35 


36 


30 9 I 268 


-03235 


299 •1268 1 


9-67651 


36 


37 


3400395 


-02941 


330-03949 


9-70592 


37 


38 


37-40434 


•02673 


364-04343 


9-73265 


38 


39 


41-14478 


-02430 


401-44778 


9-75696 


39 


40 


45-25926 


-02209 


442-59256 


9-77905 


40 


41 


49-78518 


-02009 


487-85181 


. 9-79914 


41 


42 


54-76370 


-01826 


537-63699 


9^81740 


42 


43 


60-24007 


•01660 


592 -40069 


9^83400 


43 


44 


66-26408 


-01509 


652-64076 


9-84909 


44 


4S 


72-89048 


-01372 j 


7i8^90484 


9^86281 


45 i 


46 


80-17953 ' 


-01247 


791-79532 


9-87528 


46 ! 


47 


88-19749 


•01 134 


871-97485 


9^88662 


47 1 


48 


97-01723 


•0103 1 


960-17234 


9-89693 


48 


49 


106-71896 


•00937 1 


1057-18957 


9-90630 1 


49 


5° 


117-39085 ; 


•00852 


1163-90853 


9-91481 1 


SO 



INTEEEST TABLES 



» 



Years 



51 
52 

S3 

54 
55 

56 
57 

59 
60 

61 
62 
63 

65 

66 
67 
68 
69 
70 

71 
72 
73 
74 
75 

76 



For explanation see pp. 8-13 



80 

81 
82 

83 

85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 

97 
98 

99 
100 



10°A 



ONE POUND 



Amount 



i Present Value 



129-12994 
142 -04293 
156-24723 
171 -87195 
189-05914 

207 -96506 
228-76156 
251-63772 
276^80149 
304-48164 

334-92980 
368-42278 
405-26506 
445-79157 
490-37073 

539-40780 

593*34858 
652-68344 
717-95178 
789-74696 

868-72165 

955-59382 

105 1 -15320 

1 156-26852 

1271-89537 

1 399 •08491 

1538-99340 
1692*89274 
1862-18201 
2048 -4002 1 

2253-24024 
2478-56426 
2726-42069 
2999-06275 
3298-96903 

3628-86593 
3991-75253 

4390*92778 
4830-02056 
5313-02261 

5844-32487 
6428-75736 
7071-63310 
7778-79641 
8556-67605 

9412-34365 
10353*57802 
1 1388-93582 
12527-82940 
13780-61234 



•00774 
•00704 
•00640 
•00582 
•00529 

•00481 
•00437 
•00397 
•00361 
•00328 

•00299 
•00271 
•00247 
•00224 
•00204 

•00185 
•00169 
•00153 
•00139 
•00127 

•001 15 
•00105 
•00095 
•00086 
•00079 

•00071 
•00065 
•00059 
•00054 
■00049 

•00044 
-00040 
•00037 
•00033 
•00030 

-00028 
-00025 
-00023 
•00021 
•00019 

•00017 
•00016 
•00014 
•00013 
•00012 

-0001 1 
•oooio 
•00009 
-00008 
-00007 



ONE POUND PEE ANNUM 



Amount 



1 28 1 -29938 
I4IO-42932 
1552-47225 
1 708 -7 1948 
1880-59x42 

2069-65057 
2277-61562 
2506-37719 
2758-01490 
3034-81640 

3339*29803 
3674^22784 
4042^65062 
4447^91568 

4893*70725 

5384*07798 
5923*48578 
6516^83435 
7169-51779 
7887-46957 



8677 

9545 
1 050 1 

11552 

12708 

13980 

15379 
16918 

18611 

20474 

22522 

24775 
27254 
29980 
32979 

36278 
39907 

43899 
48290 

53120 



-21652 
-93818 

•53199 
•68519 

95371 

•84909 

'93399 

92739 
82013 

00215 

-40236 
•64260 
•20686 

•62754 
-69030 

65932 
52526 

27778 
20556 
22612 



58433 
64277 

70706 

77777 
85556 

941 13 
103525 
1 13879 
125268 
137796 



•24873 
•57360 

•33096 
-96406 
-76046 

•43651 
•78016 
-35818 
-29400 
-12340 



Present Value 

9*92256 
9-92960 
9*93600 
9-94182 

9 947 I I 

9-95191 

9*95629 
9 -96026 
9-96387 
9-96716 

9-97014 
9-97286 

9-97532 
9-97757 
9-97961 

9-98146 
9-98315 
9-98468 
9-98607 

9^98734 
9-98849 
9^98954 
9-99049 

9-99135 
9-99214 

9-99285 

9-99350 
9-99409 

9^99463 
9-99512 

9-99556 
9-99597 
999633 
9-99667 

9-99697 

9^99724 

9^99749 
9 '997 7 2 

9^99793 
9-99812 




9-99829 

9-99844 

9-99859 
999871 

9-99883 

9-99894 
9-99903 
9-99912 
9-99920 

9-99927 



51 
52 
53 
54 
55 

56 
57 
58 

59 
60 

61 
62 

65 
66 

68 

69 
70 

71 
72 
73 
74 
75 

76 

77 
78 

79 
80 

81 
82 

83 
84 

85 

86 

87 
88 

89 
90 



91 
92 
93 
94 
95 

96 

97 
98 

99 
100 



(84) 



See also Tables on pp. xx-xxxi. For 15% see p. xl 

(85) 



Years 



10 
20 

30 
40 

50 

60 
70 
80 

90 
100 



10 
20 

30 
40 

SO 

60 
70 

80 
90 

100 



10 

20 

30 
40 

50 

60 
70 
80 
90 
100 



INTEREST TABLES 



AMOUNT OF ONE POUND AT END OF YEAB 



0/ 



^o 



1-10462 
1-22019 

1-34785 
I -48886 
I 64463 

1-81670 
2-00676 
2-21672 
244863 
2-70481 



U 



% 



1-13227 
I -28204 
1-45161 
I -64362 
I -86102 

2-10718 
2-38590 
2-70149 
3-05881 
3 '46340 



U% 



1-16054 
I -34686 
I -56308 
I -81402 
2-10524 

2-44322 
2-83546 
3-29066 

3-81895 
4-43205 



-3 0/ 
L4 /o 



1-18944 

1-41478 
I -68280 
2-00160 
2-38079 

2-83182 
3 36829 
4-00639 

476538 
5-66816 




I -21899 

1-48595 
1-81136 

2 -20803 

2-69159 

3-28103 
3-99956 
4-87544 
5-94313 
7-24465 



I -24920 
I -56051 

I -94939 
2-43519 
3-04205 

3-80013 

4-74714 

5-93015 
7-40796 

9-25405 



1-28008 
1-63862 
209757 
2-68506 
3-43711 

4-39979 
5-63210 
7-20957 
9 22886 
11-81372 



1-31165 

1 -72043 

2 -25660 

295987 
3-88232 

5-09225 

6-67926 

876085 

1 1 -491 18 

15-07242 



3% 



3i% 



I -34392 
I -8061 1 
2-42726 
3-26204 

4-38391 

5 89160 

7-91782 

10-64089 

14-30047 

19-21863 



1-37689 
I -89584 
2-61037 
3-59420 
4-94884 

6-8,1402 

9-38219 

12-91828 

17-78711 

24-49097 



3X 0/ 
2^ /o 



I -41060 
I -98979 
2-80679 
3-95926 
5-58493 

7-87809 
1 1 -1 1282 

15-67574 
22-11217 

31-19141 



31 



0/ 



''O 



1-44504 
2-08815 

3-01747 
4-36038 
6-30094 

9-10513 

13-15732 

19-01290 

27-47448 
39-70183 



For explanation see pp. 8-13 



(86) 



Years 



10 
20 

30 

40 
50 

60 
90 

100 



10 

20 

30 
40 

so 

60 
90 

100 



10 
20 

30 
40 

50 

60 
70 
80 
90 

100 



'? 



\ 



INTEREST TABLES 





AMOUNT OF ONE POUND AT END 


OF TEAR 




Years 


4% 


*4 TO 


4i% 


4f % 


Years 


10 


I -48024 


I-51621 


1-55297 


1 

1-59052 


10 


20 


2-19112 


2-29891 


2-41171 


2-52977 


20 


30 


3-24340 


3-48564 


3-74532 


4-02366 


30 


40 


4-80102 


5-28497 


5-81636 


639972 


40 


SO 


7-10668 


8-01315 


9-03264 


10-17892 


SO 


60 


10-51963 


12-14965 


14-02741 


16-18982 


60 


ss 


15-57162 


18-42148 


21-78413 


25-75030 


70 


23-04980 


27-93091 


33-83009 


40-95647 


80 


90 


34-11933 


42-34925 


52-53710 


65-14226 


90 


100 


50 ■50495 


64-21055 


81-58852 


103-61036 


100 
10 




5% 


5i% 


6% 


6i% 


zo 


I 62889 


I -70814 


1-79085 


I -87714 


20 


265330 


2-91776 


3-20714 


352365 


20 


30 


4-32194 


4-98395 


5-74349 


6-61437 


30 


40 


7-03999 


8-51331 


10-28572 


12-41607 


40 


50 


1 1 -46740 


14-54196 


18-42015 


23-30668 


SO 


60 


18-67919 


24-83977 


32-98769 


43-74984 


60 


z° 


3042643 


4242992 


59-07593 


82-12446 


£ 


80 


49-56144 


72-47643 


105-79599 


154-15891 


90 


80-73037 


123-80021 ! 


189-46451 


289-37746 


90 


100 


131-50126 


211-46864 


339-30208 


543-20127 


100 
10 




7% 


8% 


9% 


10% 


10 


I -96715 


2-15892 


2-36736 


2-59374 


20 


3-86968 


4-66096 


5-60441 


672750 


ao 


30 


7-61226 


10-06266 


1326768 


17-44940 


30 


40 


14-97446 


21-72452 


31-40942 


45-25926 


40 


50 


29-45703 


46-90161 


74-35752 


117-39085 


SO 


60 


57-94644 


101-25706 


176-03129 


304-48164 


60 


70 


113-98938 


218-60641 


416-73009 


789-74696 1 


70 


80 


224-23437 


471-95483 


986-55167 


2048-40021 


80 


90 


441-10293 


IO18-91509 


2335-52658 


53 1 3 -0226 1 


90 


100 


867-71623 


2199-76126 


5529-04079 


13780*61234 


100 



ii 



M 



(87) 



I 



INTEBEST TABLES 



THE PEESENT VALUE OF ONE POUND DUE AT END OF YEAE 



Years 



10 
20 

30 
40 

50 

60 

70 

80 

90 

100 



10 
20 
30 
40 

50 

60 
70 
80 
90 
100 



10 

20 

30 
40 

SO 

60 

70 
80 
90 

100 



1 



0/ 



^o 



•90529 
•81954 
74192 
•67165 
•60804 

•55045 
•49831 

•451 12 

•40839 
•36971 



li"- 



o 



•88318 

•78001 

•68889 

•60841 

•53734 

•47457 

•4I9I3 
•37017 

•32692 

'28873 



0/ 



^o 



•82035 
•67297 

•55207 
•45289 

•37153 

•30478 
•25003 

•20511 

•16826 
•13803 



2i% 



•80051 
•64082 
•51298 
•41065 
•32873 

•26315 
•21065 
•16863 

•13499 
•10806 



3% 



•74409 
•55368 
•41 199 
•30656 
•2281 1 

•16973 
•12630 
•09398 
•06993 
•05203 



3i 



Ox 



^O 



•72627 

•52747 
•38309 
•27823 
•20207 

•14676 
•10658 
•07741 
•05622 
•04083 



For explanation see pp. 8- 13 



2 



0/ 



'X) 



li% 



•86167 

•74247 
•63976 

•55126 
•47500 

•40930 
•35268 

•30389 
•26185 

•22563 



•84073 
•70682 

•59425 
•49960 
•42003 

•35313 
•29689 

•24960 

•20985 

•17642 



2* 



% 



•78120 
•61027 

•47674 

•37243 
•29094 

•22728 

•17755 
•13870 
•10836 
•08465 



If % 



•76240 
•58125 
•44314 
•33785 
•25758 

•19638 
•14972 
•II414 
•08702 
•06635 



3i% 



31 



0/ 

/o 



•70892 

•50257 
•35628 

•25257 
•17905 



•69202 

•47889 

•33140 
•22934 
•I587I 



•12693 


•10983 


•08999 


•07600 


•06379 1 


•05260 


•04522 ' 


•03640 


•03206 


•02519 



Years 



10 
20 
30 
40 
50 

60 
70 
80 
90 
100 



10 
20 

30 
40 

50 

60 
70 
80 

90 
100 



10 
20 
30 
40 

SO 

60 

70 
80 
90 

100 



(88) 



INTEREST TABLES 



THE PEESENT VALUE OF ONE POUND DUE AT END OF YEAE 



~^ 



Years 



10 

ao 

30 
40 

SO 
€0 

90 
100 



zo 
ao 

30 
40 
SO 

60 

90 
100 



zo 
ao 

30 
40 

SO 

60 

70 
80 

90 
100 



0/ 



^o 



•67556 
•45639 

•30832 
•20829 

•1407 1 

•09506 
•06422 

•04338 
•02931 

•01980 



5% 



•61391 
•37689 

•23138 
•14205 
08720 

•05354 
•03287 

•02018 

•01239 

•00760 



.7% 



•50835 
•25842 

•13137 
•06678 

•03395 

•01726 
•00877 
•00446 
•00227 

•CGI 15 



For 15% see p. xl 



4i% 



•65954 

•43499 
•28689 

•18922 
■12479 

•08231 
•05428 
•03580 
•02361 

•01557 



'2 /O 



•58543 
•34273 

•20064 
•I 1746 
•06877 

•04026 

•02357 

•01380 
•00808 
•00473 



8% 



•46319 

•21455 
•09938 
•04603 

•02132 



Tta /o 



•64393 
•41464 

•26700 

•17193 

•11071 

•07 1 29 
•04590 
•02956 
•01903 
•01226 



6% 



•55839 
•31 180 
•17411 
•09722 
•05429 

•03031 
•01693 
•00945 
•00528 
•00295 



9% 



•42241 

•17843 
•07537 
•03184 

•01345 



•00988 


•00568 


•00457 


•00240 


•00212 j 


•ooioi 


•00098 


•00043 


•00045 


■00018 



4-^ 0/ 
4 /O 



•62872 
•39529 

•24853 
•15626 

•09824 

•06177 
•03883 
•02442 

•01535 
•00965 



6i9 



O 






•53273 
•28380 

•15119 

•08054 

•04291 

•02286 
•OI218 
•00649 
•00346 
•00184 




•38554 
•14864 

•05731 
•02209 

•00852 

•00328 
•00127 
•00049 
•00019 
•00007 



Years 



ZO 

ao 

30 
40 

SO 

60 
70 
80 
90 
zoo 



zo 
ao 
30 

40 
SO 

60 

70 
80 

90 
zoo 



zo 
ao 

30 

40 

SO 

60 
70 
80 
90 
100 



(89) 






Years 



10 



30 

SO 

60 
90 

100 



ID 
20 
30 
40 

50 

60 

70 

80 

90 

100 



10 
20 

30 
40 

50 

60 
70 
80 
90 
100 



INTEREST TABLES 



THE AMOUNT OF ONE POUND PEB ANNUM 



1% 



u 



0/ 



^o 



10-46221 
22-01900 

3478489 
48-88637 
64-46318 

81-66967 
100-67634 

121 -67152- 

144-86327 

170-48138 



10-58167 
22 -56298 
36-12907 
51-48956 
68-88179 

88-57451 
110-87200 
136-11880 
164-70501 
197-07234 



0/ 



^o 



10-94972 

24-29737 

40-56808 
60-40198 

84-57940 

1 14-05154 

149-97791 

I9377I95 
247-15665 

312-23230 



2i 



0/ 



^o 



11-07571 
24-91152 
42-19526 

63-78618 
90-75762 

124-45043 
166-53962 

219-11757 
28479813 

366-84650 



0/ 



''O 



1 1 46388 

26-87037 

47-57542 

75-40126 
112-79687 

16305344 
230-59406 

321-36302 
443 -34890 
607-28773 



31 



Q 



O 



11-59675 
27-56424 
49-54980 
79-82158 
121-50263 

178-89303 

257-91354 
366-71643 

516-52651 

722-79916 



For explanation see pp. 8-13 



1^^ 



O/ 



2 /o 



1 0/ 

2 /O 



1 1 -20338 
25-54466 
43-90270 
67-40256 

97-48435 

135-99159 
1 85 -284 1 1 

248-38271 

329-15425 

432-54865 



3i 



% 



11-73139 
28-27968 

5 1 -62267 
84-55028 
130-99791 

196-51688 
288-93786 
419-30678 
603-20503 
862-61166 



(90) 



14 70 



10-70272 
23-12367 
37-53868 
54-26789 
73-68283 

96-21465 
122-36375 
152-71085 
187-92990 
228-80304 



10-82540 
23-70161 
39-01715 

57-23413 
78-90222 

104-67522 
135-33076 
171-79382 
215-16462 
266-75177 



2i% 



11-33276 
26-19740 
45-69461 
71-26815 
104-81170 

148-80914 
206-51843 
282-21287 
381-49757 

511-72445 



31% 



11-86784 
29-01739 

53-79924 
89-61010 

141-35837 

216-13690 

324-19515 
480-34408 

705-98614 

1032-04883 



Years 



10 
20 

30 
40 

50 
60 

90 
100 



10 
20 

30 
40 

50 
60 

90 
100 



10 
20 

30 
40 

50 

60 
70 
80 
90 
100 



Years 



10 
20 

30 
40 

50 

60 

70 

80 

90 

ZOO 



10 
20 

30 

40 

SO 

60 

70 
80 

90 

100 



10 
20 

30 
40 

50 
60 

90 

100 



INTEREST TABLES 






THE AMOUNT OF ONE POUND PEE ANNUM 



4% 


4i% 


12-0061 1 


12-14622 


29-77808 


30-56250 


56-08494 


58-48553 


95-02552 


100-82283 ' 


152-66708 


165-01525 


237-99069 


262-34474 


364-29046 ' 


409-9171 1 


551-24498 


633-66848 ' 


82798333 


972-92354 


1237-62370 


1487-30697 



5% 



12-57789 

33-06595 

66-43885 

120-79977 

209-34800 

353-58372 

588-52851 

971-22882 

1594-60730 

2610-02516 



54 



O/ 



2 /O 



12-87535 
34-86832 

72-43548 

136-60561 
246-21748 

433-45037 
753-27120 

1299*57139 

2232-73IOI 
3826-70246 



7% 



13-81645 

40-99549 

94-46079 

199-6351 1 

406-52893 

. 813-52038 
1614-13417 
3189-06268 
6287-18543 

12381-66179 



8% 



14-48656 

4576196 

113-28321 

259-05652 

573-77016 

1253-21330 

2720-08007 

5886-93543 

12723-93862 

27484-51570 



41 a 



2 /O 



12-28821 

31-37142 

61-00707 

107-03032 

178-50303 

289-49795 
461-86968 

729-55770 
1 145 -26900 
1790-85595 



6 0/ 



13-18079 

36-78559 
79-05819 

154-76197 
290-33590 

533-12818 

967-93217 

1746-59989 
3I4I -07519 

5638-36806 



0/ 



't) 



15-19293 

51-16012 

136-30754 
337-88245 

815-08356 

1 944 792 1 3 
4619-22318 

10950-57409 
25939-18425 
61422-67547 



(91) 



H% 



12-43209 
32-20563 

63-65594 
113-67841 

193-24036 

319-78559 
521-05885 

841-18887 

1350-36345 
2160-21801 



ii% 



13-49442 

38-82531 

86-37486 

175-63192 

343-17967 

657-68984 
1248-06867 
2356 29087 
4436 57630 
8341-55802 



10 



0/ 



^o 



15-93742 
57-27500 

164-49402 

442-59256 
1 163-90853 

3034-81640 

7887-46957 

204^4-00215 

53I20-226I2 

1 37796 -1 2340 



Years 



10 
20 

30 
40 

50 

60 
70 
80 

90 
100 



10 

20 

30 
40 

50 

60 

70 
80 

90 
100 



10 

20 

30 
40 

50 

60 
70 
80 
90 

zoo 



li 



( 



INTEREST TABLES 



THE PEESENT VALUE OF OWE POUND PEE ANNUM DUE AT 






END OF TEAE 






Years 


1% 


li% 


u% 


11% 


Years 


10 


9-47130 


9-34553 


9-22219 


9-10122 


10 


20 


18-04555 


17-59932 


17-16864 


16-75288 


20 


30 


25-80771 


24-88891 


24-01584 


23-18585 


30 


40 


32-83469 


31-32693 


29-91585 


28-59423 


40 


50 


39-19612 


37-01288 


34-99969 


33-14121 


SO 


6o 


44-95504 


42-03459 


39-38027 


36-96399 


60 


i;^ 


50-16851 


46-46968 


43-15487 


40-17790 


70 


54-88821 


50-38666 


46-40732 


42-87994 


80 


90 


59-16088 


53-84606 


49-20985 


45-15161 


90 


zoo 

10 


63-02888 


56-90134 


51-62470 


47-06147 


100 


2% 


2i% 


2\% 


21% 




8-98258 


8-86622 


8-75206 


8-64008 


10 


ao 


16-35143 


15-96371 


15-58916 


15-22725 


20 


30 


22-39646 


21-64533 


20-93029 


20-24930 


30 


40 


27-35548 


26-19352 


25-10277 


24-07810 


40 


SO 


31-42361 


29-83440 


28-36231 


26-99717 


50 


60 


34-76089 


32-74895 


30-90866 


29-22266 


60 


70 


37-49862 


35-08208 


32-89786 


30-91937 


70 


80 


39-74451 


36-94978 


34-45182 


32-21294 


80 


90 


41-58693 


38-44489 


35-66577 


33-19915 


90 


100 
10 


43-09835 


39-64174 


36-61410 


33-95104 


100 


3% 


3i% 


3i% 


3f % 




8-53020 


8-42240 


8-31661 


8-21279 


10 


20 


14-87748 


14-53935 


14-21240 


13-89620 


20 


30 


19-60044 


18-98192 


18-39205 


17-82925 


30 


40 


23-11477 


22-20843 


21-35507 


20-55099 


40 


SO 


25 72976 


24-55176 


23-45562 


22-43449 


SO 


6o 


27-67556 


26-25366 


24-94474 


23-73792 


60 


70 


29-12342 


27-48970 


26 -00040 


2463991 


2 


8o 


30-20076 


28-38740 


26-74878 


25-26411 


90 


31-00241 


29*03937 


27-27932 


25-69607 


90 


100 . 


31-59891 


29-51288 


27-65543 


25-99499 


100 



For explanation see pp. 8-13 



(92) 



INTEREST TABLES 



THE PEESENT VALUE OF ONE POUND PEE ANNUM DUE AT 

END OF YEAE 



Years 



10 
20 

30 

40 

SO 

60 
70 
80 
90 
100 



10 
20 

30 
40 

SO 

60 
70 
80 
90 
100 



10 
20 

30 
40 

SO 

60 
70 
80 

90 
zoo 



0/ 



'^ 



8-1 1090 

1 3 59033 
17-29203 

19-79277 

21-48219 

22-62349 

23-39452 

23-91539 
24-26728 

24-50500 



u /o 



7-72173 

12-46221 

15-37245 
17-15909 

18-25592 

18-92929 

19-34268 
19-59646 

19-75226 

19-84791 



7% 



702358 
10-59401 

1 2 -40904 

I3-3317I 
13-80075 

14-03918 
14-16039 
14-22201 

14-25333 
14-26925 



4i% 



8-01089 

1 3 -29437 
16-77902 
19-07727 
20-59306 

21-59278 
22-25213 
22 -68700 
22-97381 
23-16297 



4i% 



7-91272 
13-00794 
16-28889 
18-40158 
19-76201 

20-63802 
21 -2021 1 

21-56534 
21-79924 
21-94985 



5* 



O/ 



^O 



O/ 



^o 



7-53763 
1 1 -95038 

14-53375 

16-04612 

16-93152 

17-44985 
17-75330 

17-93095 
18-03495 

18-09584 



I6-I6I43 

16-38454 
16-50913 

16-57870 
16-61755 



8 



o> 



^o 



9 



^o 



6-71008 

9-81815 

11-25778 

1 1 -92461 

12-23348 

12-37655 
1 2 -44282 

12-47351 
12-48773 

12-49432 



6-41766 

9-12855 

10-27365 

10-75736 

10-96168 

11-04799 
1 1 -08445 
1 1 -09985 
1 1 -10635 
11-10910 



See also Tables pp. xx-xxxi. For 15% see p. xl 



(93) 



41 



0/ 



''O 



7-81635 
12-73067 
15-82042 
17-76302 

18-98437 
19-75227 

20-23506 

20-53861 
20-72945 

20-84944 



6i 



Oy 



2 /O 



7-36009 


7-18883 


1 1 -46992 


1 1 01851 


13-76483 


13-05868 


15-04630 


14-14553 


15-76186 


14-72452 



15-03297 
15-19728 
15-28482 

15-33145 
15-35629 



10 



0/ 



^o 



6-14457 
8-51356 
9-42691 
9-77905 
9-91481 

9-96716 

9-98734 
9-99512 
9 998 I 2 

9-99927 



Years 



10 
20 

30 
40 

SO 

60 
70 
80 
90 
100 



10 
20 

30 
40 

50 

60 

70 

80 

90 

100 



10 
20 

30 
40 

50 

60 
70 
80 
90 

100 



I I 



!i 



i 



INTEREST TABLES 



THE PBESENT 


VALUE OF A PERPETUITY OF £1 PER ANKUM 


At per Cent. 


£ 


At 


percent. 




£ 




£ ». 


d. 




• 


£ «. 


d. 




1 or 2 


6 


800-00000 


5f or 


5 2 


6 


19-51220 


i , 


. 5 





400-00000 


5t » 


5 5 





19-04762 


i . 


. 7 


6 


266-66667 


^ 51 » 


5 7 


6 


18-60465 


5 . 


, 10 





200-00000 


Sk n 


5 10 





18-18182 


.^' 


, 12 


6 


160-00000 


s\ „ 


5 12 


6 


1777778 


f > 


, 15 


■ 


133-33333 


5^ M 


5 15 





17-39130 


i . 


» 17 


6 


114-28571 


Ss '» 


5 17 


6 


17-02128 


I , 


, I 





100-00000 




6 





16-66667 


Ik , 


, I 2 


6 


88-88889 


6^ „ 


6 2 


6 


16-32653 


H , 


' I 5 





80-00000 


6i „ 


6 5 





16-00000 


It' 

*2 > 


. I 7 


6 


72-72727 


6§ „ 


6 7 


6* 


15-68627 


, I 10 





66-66667 


6| „ 


6 10 





15-38462 


I# , 


, I 12 


6 


61-53846 


6g „ 


6 12 


6 


15*09434 


H , 


' I 15 





57-14286 


6f „ 


6 15 





14-81481 


li » 


. I 17 


6 


53-33333 


6|» 


6 17 


6 


14-54545 


2 , 


, 2 





50 -00000 


7 » 


7 





14*28571 


2h , 


, 2 2 


6 


47-05882 


7* » 


7 2 


6 


1403509 


2i , 


. 2 s 





44-44444 


1 7i >. 


7 5 





13-79310 


2f , 


, 2 7 


6 


42-10526 


i n ,, 


7 7 


6 


13-55932 


2^- » 


, 2 10 





40-00000 

■ 


7i » 


7 10 





13*33333 


2^ , 


, 2 12 


6 


38-09524 


7^ ,, 


7 12 


6 


13-11475 


2i , 


. 2 15 





36-36364 


71 ., 


7 IS 





12-90323 


H » 


, 2 17 


6 


34-78261 


71 ., 


7 17 


6 


12-69841 


3 » 


> 3 





33*33333 


8 „ 


8 





12-50000 


3^ , 


» 3 2 


6 


32 00000 


8* „ 


8 2 


6 


12-30769 


3i » 


> 3 5 





30-76923 


8i „ 


8 5 





12-12121 


3^ , 


» 3 7 


6 


29-62963 


8f „ 


8 7 


6 


1 1 -94030 


3^ » 


, 3 10 





28-57143 


81 „ 


8 10 





1 1 -7647 1 


31 . 


, 3 12 


6 


27 5862 1 


8f „ 


8 12 


6 


1 1 "59420 


3f , 


. 3 15 





26-66667 


8f „ 


8 15 





11-42857 


3i , 


» 3 17 


6 


\ 25 80645 


8| „ 


817 


6 


11-26761 


4 > 


, 4 





25-00000 


9 » 


9 





ii-iiiii 


4^, 


, 4 2 


6 


24-24242 


9^ ,, 


9 2 


6 


10-95890 


4t , 


> 4 5 





23-52941 


9i M 


9 5 





io-8io8i 


4i , 


. 4 7 


6 


22-85714 


-9f » 


9 7 


6 


10-66667 


4^ » 


> 4 10 





22-22222 


9h „ 


9 10 





10*53632 


4^ , 


, 4 12 


6 


21-62162 


9^ » 


9 12 


6 


10-38961 


4f , 


. 4 15 





21-05263 


91 n 


9 15 





10-25641 


Ai . 


' 4 17 


6 


20-51282 


9i » 


9 17 


6 


10-12658 


5 » 


» 5 





20-00000 


10 „ 


10 





lo-ooooo 



For explanation see p. 1 3 



(94) 



INTEBEST TABLES 



THE PRESENT VALUE OF THE REVERSION OF A PERPETUITY OF £1 



Years 
Deferred 



1% 



I 

2 
3 
4 
5 

6 

7 
8 

9 
10 

II 
12 
13 
14 
15 

16 

\l 

19 
20 

21 
22 

23 
24 

25 

26 

27 
28 

29 

30 

31 
32 
33 
34 
35 

36 



39 
40 

41 
42 
43 
44 
45 

46 

47 
48 
49 
SO 



99-00990 
98 02960 
97-05901 
96-09893 
95-14657 

94*20452 
93*27181 
92-34832 

91*43398 
9052870 

8963237 
88-74492 
87-86626 
86-99630 
86-13495 

85-28213 

84-43775 
83-60173 

82-77399 

81-95445 

81-14302 
80-33962 
79-54418 
78-75661 
77*97684 

77-20480 
76-44039 
75*68356 

74*93421 
74-19229 

73*45771 
72-73041 

72-01031 

71-29733 
70-59142 

69-89250 
69-20049 

68-51534 
67-83697 
67-16531 

66-50031 
65-84189 
65 18999 

64-54455 
63-90549 

63-27276 
62-64630 
62-02604 
61-41192 
60-80388 



u 



Oy 



'X) 



li 



Oy 



^O 



.f% 



Years 
Deferred 



79-01235 
78-03688 

77-07347 
76-12194 
75-18217 

74-25399 
73-33727 
72-43188 

71*53766 
7065447 

69-78220 
68-92069 
68-06982 
67-22945 

66-39945 

65*57971 
64-77008 

63*97045 
63-18069 

62-40068 

61-63031 
60-86944 
60-11796 
59-37577 
58-64273 

57*91875 
57-20370 

56-49748 
55*79998 
55*i"09 

54*43071 
53-75^73 
53-09504 
52-43954 
51-79214 

51-15273 
50-52122 

49-89750 
49-28148 
4867307 

48-07216 
47-47868 
46-89252 
46-31360 
45-74183 

45-17712 

44-61938 
44-06852 

43-52446 
42-98712 



65-68145 
64-71079 

63-75447 
62-81229 
61-88402 

60-96948 
60-06846 
59-18074 
58-30615 
57-44448 

56*59555 
55*75916 

54*93514 
54*12329 
53*32344 

52-53541 
51-75902 
50-99411 
50-24050 

49*49803 

48-76653 

48-04584 

47-33581 
46-63626 

45-94706 

45-26804 
44-59905 
43-93995 
43*29059 
42-65083 

42 -02052 

41-39953 
40-78771 
40-18494 
39-59107 

39*00599 

38-42954 
37-86162 

37-30209 

36-75082 

36-20771 
35-67262 

35*14544 
34-62605 

34*11433 

33*61018 
33*11348 
32-62412 
32-14199 
31-66698 



56-16006 
55*19416 
54-24488 

53-31192 
52-39500 

51*49386 
50-60822 

49*73781 
48-88237 
48-04164 

47-21537 
46-40331 
45-60522 
44-82085 
44-04998 

43-29236 
42-54778 
41*81600 
41-09680 
40-38998 

39-69531 
3901259 
38-34161 
37-68217 
37-03408 

36*39713 
35*77"3 
35*15591 
34*55126 

33-95701 

33-37298 
32-79900 

32-23489 
31-68048 

31-13561 

30-60011 
30-07382 

29-55658 
29-04823 
28-54863 

28-05762 
27-57506 
27-10079 
26-63469 
26-17660 

25-72639 
25-28392 
24-84906 
24-42168 
24-00165 



z 
2 

3 

4 
5 

6 

7 
8 

9 
10 

II 
12 

13 
14 
IS 

16 

17 
18 

19 
20 

21 
22 

23 
24 

25 

26 

27 
28 

29 
30 

31 
32 
33 
34 
35 

36 
37 
38 

39 
40 

41 
42 

43 
44 
45 

46 

4 

49 

50 



For explanation see pp. 13, 14. See also Tables on pp. xxxii-xxxix 

(95) 



INTEREST TABLES 



For explanation see pp. 13, 14 



(96) 



THE PEE8ENT VALUE OF THE BEVEE8I0N OF A PERPETUITY OF £1 


Years 
Deferred 


9 0/ 

^ /o 


2i% 


2i% 


21% 


Years 
Deferred 

I 


I 


49-01961 


43-46644 


39-02439 


35-39040 


2 


48-05844 


42-50997 


38-07258 


34-44322 


2 


3 


47-II6I2 


41-57454 


37*14398 


33-52138 


3 


4 


46-19227 


40-65970 


36-23803 


32-62421 


4 


5 


45-28654 


39-76499 


35-35417 


31-75106 


■ 

5 


6 


44-39857 


38-88996 


34-49188 


30-90127 


6 


7 


43-52801 


38-03419 


33-65061 


30-07423 


I 


8 


42-67452 


37-19726 


32-82986 


29-26933 


9 


41-83776 


36-37873 


32-02913 


28-48596 


9 


10 


41-01742 


35-57822 


31-24794 


27-72356 


10 


II 


40-21315 


34-79533 


30-48579 


26-98157 


II 


12 


3942466 


34-02966 


29-74224 


26-25944 


12 


13 


38-65163 


33-28084 


29-01682 


25 55663 


13 


14 


37-89375 


32-54850 


28-30909 


24-87263 


14 


15 


37-15074 


31-83227 


27-61862 


24 20694 


15 


16 


36-42229 


31-13181 


26-94500 


23-55907 


16 


^1 


3570813 


30-44676 


26-28780 


22-92853 


17 


18 


35-00797 


29-77678 


25-64664 


22-31487 


18 


19 


34-32154 


29-12154 


25-021 II 


21-71764 


• 19 


20 


33-64857 


28-48073 


24-41084 


21 13639 


20 


21 


32-98879 


27-85401 


23-81545 


20-57069 


21 


22 


32-34195 


27-24109 


23-23459 


20-02014 


22 


23 


31*70780 


26-64165 


22-66789 


19-48432 


23 


24 


31-08607 


26-05540 


22-11501 


18-96284 


24 


25 


30-47654 


25-48206 


21-57562 


18-45532 


25 


26 


29-87896 


24-92133 


21-04939 


17-96138 


26 


27 


29-29310 


24-37294 


20-53599 


17-48067 


27 


28 


28-71873 


23-83661 


20-03511 


17-01281 


38 


29 


28-15562 


23-31209 


19-54645 


16-55748 


29 


30 


27-60354 


22-79911 


19-06971 


16-11434 


30 


31 


27-06230 


22-29742 


18 60460 


15-68305 


31 


32 


26-53167 


21-80677 


18-15082 


15-26331 


32 


33 


26-01144 


21-32691 


17-70812 


14-85481 


33 


34 


25-50141 


20-85761 


17-27621 


14-45723 


34 


35 


25-00138 


20-39864 


16-85484 


14-07030 


35 


36 


24-51116 


19-94977 


16-44375 


13-69372 


36 


% 


24-03055 
23-55936 


19-51078 
19-08145 


16-04268 
15-65140 


13-32722 
12-97053 




39 


2309741 


18-66156 


15-26966 


12-62339 


39 


40 


22-64452 


18-25092 


14-89723 


12-28554 


40 


41 


22-20051 


17-84931 


14-53388 


1 1 -95673 


41 


42 


21-76521 


17-45654 


14-17939 


11-63672 


42 


43 


21-33844 


1 7 0724 1 


13-83355 


11-32527 


43 


44 


20-92004 


16-69673 


13-49615 


11-02217 


44 


45 


20-50984 


16-32932 


13-16698 


10-72717 


■ T 

45 


46 


20-10769 


15-97000 


12-84583 


10*44007 


46 


^2 


19-71342 


15-61858 


12-53252 


10-16065 


47 


48 


19-32688 


15-27489 


12-22685 


9-88871 


48 


49 


18-94792 


14-93877 


1 1 -92863 


9-62405 


49 


50 


18-57639 


14-61004 


1 1 -63769 


936647 


SO 



INTEREST TABLES 



Years 
Deferred 



THE PEESENT VALUE OF THE BEVEESION OF A PERPETUITY OF £1 



I 

2 

3 
4 
5 

6 

I 

9 
10 

II 
12 

13 
14 
15 

16 

17 
18 

19 
20 

21 
22 

23 
24 
25 

26 

27 
28 

29 
30 

31 
3^ 
33 
34 
35 

36 

37 
38 

39 
40 

41 
42 
43 
44 
45 

46 

% 

49 
50 



3% 



32*36246 
31*41986 
30*50472 
29*61623 
28*75362 

27*91614 
27*10305 
26 3 I 364 
25*54722 
24*80313 

24*08071 

23-37933 
22*69737 

22-03726 

21-39539 

20*77223 
20*16721 
19*57982 
19-00953 

18*45585 

17*91831 
17*39641 
16*88972 
16*39779 
15*92018 

15-45649 
15*00630 

14*56922 

14*14487 

13-73289 

13-33290 
12*94456 
12*56754 
12*20149 
11-84611 

11*50108 
11*16609 
10-84087 
10-52511 
10-21856 

9-92093 
9-63197 

9-35143 
9-07906 

8-81462 

8-55788 
8-30862 
806662 

7*83167 
7-60357 



31 0/ 
4. /o 



29*80071 
28*86267 
27*95416 
27*07425 
26*22203 

25-39664 

24-59723 
23*82298 

23*07311 

22*34683 

21-64342 
20-96215 
20-30233 
19-66327 

19-04433 

18-44487 
17-86428 
17*30197 

16*75735 
16*22988 

15-71902 
15*22423 

14*74501 
14*28089 

13-83137 

13*39600 

12*97433 
12-56594 

12-17040 

11-78731 

11*41628 
1 1 -05693 
10-70889 
10-37181 
10-04534 

9-72914 
9-42289 
9*12629 
8-83902 
8-56080 

8*29133 
8*03034 

7'77757 
7*53276 
7*29565 

7*06600 
684359 
6*62817 
6*41954 
6*21747 



31 0/ 
2 /o 



3f% 



See also Tables on pp. xxxii-xxxix 



27*60525 
26*67174 
25*76979 
24*89835 
24*05638 

23*24288 
22*45689 
21-69747 
20*96374 
20*25482 

19*56988 
18*90810 
18*26869 
17-65091 
1705402 

16*47731 
15*92011 

15*38175 
14*86159 

14*33903 

13*87346 
13*40430 
12*95102 
12*51306 
12*08991 

11*68108 
1 1 *286o6 
10*90441 
10*53566 
10*17938 

9*83515 
9*50256 
9*18122 
8-87075 
8-57077 

8*28094 
8*00090 

7*73034 
7*46893 
7*21636 

6*97233 

6-73655 
6*50874 

6*28864 

6*07598 

5*87051 
5*67199 
5-48018 
5-29486 
5*11581 



25-70281 
24-77380 
23-87836 
23-01529 
22-18341 

21*38160 
20 60877 
9-86387 

9-14590 
8*45388 

7-78687 
7-14398 
6-52431 
5-92705 

5-35137 

4-79650 
4-26169 
3-74621 

3-24936 
2-77047 

2-30888 
1*86398 
I -43516 
1*02185 
0*62347 

0*23948 
9*86938 
9*51266 
9*16883 
8-83742 

8*51800 

8-2I012 

7-91337 
7-62734 

7-35166 

7-08593 
682982 
6*58296 
6-34502 

6-1 1568 

5-89463 

5-68157 
5-47621 
5*27828 
5*08750 

4-90361 
4*72637 

4*55554 
4*39088 

4*23218 



Years 
Deferred 



(97) 



I 
2 

3 

4 
5 

6 

7 
8 

9 
10 

II 
12 
13 
14 
15 

16 

18 

19 

20 

21 
22 

2Z 

24 
25 

26 

27 
28 
29 

30 

31 
32 

33 
34 
35 

36 

37 
38 

39 
40 

41 
42 

43 
44 
45 

46 

47 
48 

49 
E 



■'I 






if 



INTEREST TABLES 



THE PRESENT VALUE OF THE REVERSION OF A PERPETUITY OF £1 



Years 
Deferred 



I 
2 

3 
4 
5 

6 



9 

10 

iz 

12 

13 
14 
15 

i6 

17 
i8 

19 

20 

21 
22 

23 

24 

25 

26 

27 
28 

29 

30 

31 
32 
33 
34 
35 

36 
37 
38 

39 
40 

41 
42 

43 
44 
45 

46 

47 
48 

49 
50 



O/ 



^o 



24-03846 
23-11391 
22*22491 
21-37010 
20-54818 

19-75786 
18-99795 
18-26725 
17-56467 
16-88910 

16-23952 
15-61493 

15*01435 
14-43688 
13-88161 

13-34770 
12-83433 
12-34070 
1 1 -86606 
1 1 -40967 

10-97084 
10-54888 
10-14316 

9-75304 
9-37792 

9-01723 
8-67041 

8-33694 
8-01628 

7-70797 

7-41151 
7-12645 

6-85235 
6-58880 
6-33539 
6-09172 

5-85742 
5-63213 

5-41551 
5-20723 

5-00695 

4-81437 
4-62920 

4-451 16 

4-27996 

4-II535 
3-95706 
3-80487 

3-65853 
3-51781 



4^ 



2 



% 



21 '26528 

20-34955 
19-47326 
18-63469 
17-83224 

17-06435 
16-32952 
15-62633 

14-95343 
14-30950 

13-69330 
13-10364 

12-53937 

1 1 -99939 
1 1 -48267 

10-98821 

10-51503 

10-06223 

9-62893 

9-21428 

8-81750 
8-43780 
8-07445 
7*72674 
7-39401 

7-07561 
6-77092 

6-47935 
6-20033 

5-93333 

5-67783 

5-43333 
5-19936 
4-97546 
4-76121 

4-55618 

4-35998 
4-17223 
3-99256 
3 -82064 

3-65611 
3-49867 
3-34801 
3-20384 
3-06587 

2-93385 
2 -8075 1 

2-68661 

2-57092 

2-46021 



O/ 



^o 



19-04762 
18-14059 

17-27675 
16-45405 

15-67052 
14-92431 

14-21363 

13-53679 

12-89218 
12-27827 

11-69359 
1 1 -13675 

10-60643 
IO-IOI36 

9-62034 

9-16223 

8-72593 

8-3I04I 

7-91468 

7-53779 

7-17885 
6-83700 
6-51143 
6-20136 
5-90606 

5-62482 

5-35697 
5-10187 

4-85893 
4*62755 

4-40719 
4-19732 

3-99745 
3-80710 
3-62581 

3-45315 
3-28871 

3-13211 

2-98296 

2-84091 

2-70563 
2-57679 
2-45409 
2-33723 
2-22593 

2-11993 
2-01899 
I -92284 
I -83128 
I -74408 



For explanation see pp. 



a 



o 



13. 14- See also Tables on pp. 
(98) 



15-72327 
14-83328 
13-99366 
13-20156 

12-45431 

11-74935 
1 1 -08429 

10-45688 

9-86498 

9-30658 

8-77980 
8-28283 

7-81399 
7-37169 

6-95442 

6-56077 
6-18941 
5-83907 

5-50855 
5-19675 

4*90259 
4-62509 

4-36329 
4-11631 

3-88331 
3-66350 

3-45614 
3-26051 

3-07595 
2-90184 

2*73758 
2-58263 

2*43644 
2-29853 

2-16842 

2-04567 
I -92989 
I -82067 
1-71760 
I -62037 

I -52865 
I -44213 
I -36050 
I -28349 
1-21084 

1-14230 
I -07764 
I -01664 

•95910 I 

-90481 

xxxii-xxxix 



Years 
Deferred 



I 
2 

3 
4 
5 

6 

7 
8 

9 
10 

II 
12 

13 
14 
15 

16 

19 

20 

21 

22 

2Z 
24 

25 

26 



29 
30 

31 
32 

33 
34 
35 

36 
37 
38 

39 
40 

41 
42 
43 
44 
45 

46 

4 

49 

50 



INTEREST TABLES 



Tie Present Value of the Perpetuity of One Year's Rent or Fine, Payable for 
Renewing Estates at Various Intervals and Rates of Interest 



YEARS' PURCHASE 


Years 


Q 0/ 
/o 


4% 

12-2549 
8-0089 
5-8872 

4-6157 
3-7690 

3-1652 
2-0823 
1-3667 

-8395 
-7820 
-2631 


5% 

9-7561 

6-3439 
4-6401 

3-6195 
2-9403 

2-4564 

1-5901 

I -0205 

•6049 

•5599 
•1656 


6% 


8% 


10% 

— 

4-7619 
3021 1 

2-1547 
1-6380 
1-2961 

I -0541 
-6275 

•3575 
-1746 

•1562 

-0226 


Years 


2 

3 
4 

1 

7 
10 

14 
20 

21 

40 


16-4204 

10-7839 

7-9675 

6-2786 

5-1533 

4-3503 
2-9076 
1-9509 
I -2405 
I -1624 
-4421 


8-0906 

5-2350 
3-8098 
2-9566 
2-3894 

1-9856 
1-2646 

•7931 
•4531 
•4167 
•1077 


6-0096 

3-8504 
2-7740 

2-1307 
1 7039 

1-4009 
-8629 
•5162 
-2731 

-2479 
-0483 


2 

3 

4 

7 
10 

14 
' 20 

21 

40 



Number of Years' Purchase for the Renewal of any Number of Years 

Expired in a 

TEN YEARS' LEASE 



Years 



I 
2 

3 

4 
5 

6 

7 
8 

9 
10 



2% 



•82034 
1*65710 
2*51059 

3-38115 
4-26912 

5-17485 
6-09870 
7-04102 
8-00219 
8-98258 



I 

2 
3 
4 
5 

6 

7 
8 

9 
10 



2*% 



•78119 
1-58192 
2 -40267 

3-24394 
4-10623 

4-99009 
5-89604 
6 -82464 

7-77645 
8-75206 



3% 



•74409 
1-51051 
2 -29992 
3-11301 

3-95049 

4-81310 
5-70159 
6-61673 

7-55933 
8-53020 



3i° 



o 



-70892 

1 -44265 

2 -20207 
2-98806 
3-80156 

4-64353 

5-51497 
6-41692 

7-35043 
8-31661 



Years 



4% 



4^° 



o 



-67557 

I -37815 
2-10885 

2-86876 

3-65908 

4-48100 

5 -33581 
6-22481 
7-14936 
8-11090 



•64393 
1-31683 

2-02002 

2*75485 

3-52274 

4-32519 
5-16376 
6-04005 

6-95578 
7-91272 



5% 



17'95 % 



-61391 

1-25852 

1-93536 
2-64604 
3-39225 

4*17578 
4-99848 
5 -86232 

6-76935 
7-72173 



•1919 

•4182 

-6851 

I -0000 

1-3714 

1-8094 

2-3261 

2-9355 

3-6543 
4-5021 



I 

2 

3 

4 
5 

6 

7 
8 

9 
10 



I 
2 

3 

4 
5 

6 

7 
8 

9 
10 



For explanation see pp. 14-16 



(99) 



£2 



INTEREST TABLES 



Number of Years' Purchase for the Benewal of any Number of Years 

Expired in a 

TWENTY YEABS' LEASE 



Years 



I 
2 

3 

4 
5 

6 

7 
8 

9 

10 

II 

12 

13 
14 
IS 

i6 

17 
i8 

19 

20 



I 

2 

3 

4 
5 

6 

7 
8 

9 

10 

II 

12 

13 
14 
IS 

i6 

17 
i8 

19 

20 



2% 



•67297 

1 -35940 

2 05956 
277372 
3*50217 

4-24518 
5-00306 
577609 
6-56458 
7-36885 

8-18919 

9-02595 

9-87944 

10-75000 

11-63797 

12-54370 

13-46755 
14-40987 

15*37104 
16-35143 



4% 



•45639 
•93103 

I -42466 
I -93803 
2-47194 

3-02721 
5-60468 
4-20526 
4-82985 

5*47943 

6-15500 
6-85758 
7-58828 
8-34819 

9*13851 

9-96043 
10-81524 
1 1 -70424 
12-62879 

13*59033 



2i^A 



•61027 
1-23580 
I -87696 
2-53416 
3*20778 

3-89825 

4-60598 

5*33140 

6*07495 
6-83710 

7-61829 
8-41902 

9*23977 
10-08103 

10-94333 

1 1 -82719 

1273314 
13-66174 

14-61355 

15*5^16 



4*% 



•41465 

•84795 
I -30075 

1 -77393 

2 -26839 

2-78511 

3*32509 
3-88936 

4*47902 
5-09522 

5*73915 
6-41205 

7-11524 

7 -85007 

8-61796 

9 •42041 
10-25898 
11-13527 
12-05100 
13-00794 



For explanation see pp. 14-16 



3% 



*55368 
I -12397 
1-71136 
2-31638 
2-93954 

3*58141 
4*24252 
4-92348 
5-62486 
6-34728 

7-09137 

7-85779 
8-64720 

9-46029 
10-29777 

1 1 -16038 
12-04887 
12-96401 
13-90661 
14-87748 



•37689 

•77262 

I^i88i4 

I '62444 

2-08255 

2-56357 
3-06864 

3*59896 
4*15580 
4-74048 

5-35439 
5*99900 
6-67584 
7*38652 
8-13273 

8-91626 

9*73896 
10-60280 
1 1 -50983 
12-46221 



3*% 



•50256 
I '02272 
1-56108 
2-11828 
2-69499 

3-29188 
3-90966 
4-54906 
5-21085 

5*89579 

6-60471 

7*33844 
8-09786 

8-88385 

9*69735 

10-53932 
1 1 -41076 
12-31271 
13-24622 
14-21240 



5 % 12-304% 



-098 
'2o8 

•332 
•471 
•628 

•803 

I'OOO 
I '221 

1*470 
1-749 

2-062 
2-414 
2-809 

3253 
3*751 

4*311 

4*940 
5*646 
6-439 
7-329 



Years 



I 
2 

3 
4 
5 

6 

2 

9 
10 

II 
12 

13 
14 
IS 

16 

17 
18 

19 
20 



z 
2 

3 

4 
5 

6 

7 
8 

9 
10 

II 
12 

13 
14 
IS 

16 

18 

19 
20 



INTEREST TABLES 



Number of Years' Purchase for the Renewal of any Number of Years 

Expired in a 

TWENTY-ONE YEARS' LEASE 



Years 



I 
2 

3 

4 
S 

6 



9 
10 

II 
12 

13 
14 
IS 

16 

17 
18 

19 
20 

21 



I 

2 

3 
4 
S 

6 

I 

9 
10 

II 

12 

13 
14 
15 

16 

17 
18 

19 
20 

21 



2% 



-65978 

I *33275 
2-01918 
271934 

3-43350 

4*16195 

4*90496 
5-66284 

6*43587 
7*22436 

8-02863 
8-84897 

9*68573 
10-53922 

1 1 '40978 

1 2 '29775 
13-20348 
14*12733 
15-06965 
16-03082 
17-01121 



2i° 



o 



•59539 

I -20566 
I -831 19 

2-47235 

3*12955 

3*80317 
4*49364 

5-20137 

5-92679 
6-67034 

7*43249 
8-21368 

9-01441 

9*83516 

10-67642 

11-53872 

12-42258 

13*32853 
14*25713 

15-20894 

16-18455 



4% 



•43883 

•89522 

I 36986 

I -86349 

2-37686 

2-91077 
3-46604 

4*04351 
4*64409 
5-26868 

5-91826 

6*59383 
7-29641 

8-02711 

8-78702 

9-57734 
10-39926 
1 1 -25407 
12-14307 
13-06762 
14-02916 



2 /O 



•39678 

•81 143 

I -24473 

1*69753 
2-17071 

2-66517 
3*18189 
3-72187 
4-28614 
4*87580 

5 -49200 

6-13593 
6-80883 

7-51202 

8-24685 

9-01474 
9-81719 
10-65576 
11-53205 
12-44778 
13-40472 



3% 



•53754 
I -09122 
1-66151 
2-24890 
2-85392 

3-47708 
4*11895 
4-78006 
5 46 I 02 
6-16240 

6-88482 
7-62891 

8*39533 
9*18474 

9*99783 

10-83531 
1 1 -69792 
12-58641 

13*50155 
14-44415 

15-41502 



5% 



•35894 

*73583 
1*13156 
1-54708 
1*98338 

2-44149 
2-92251 
3*42758 
395790 
4*51474 

5*09942 
5*71333 
6*35794 
7*03478 
774546 

8 '49 1 67 
9*27520 
10-09790 
10-96174 
1 1 -86877 
12-82115 



3i» 



o 



*48557 

•98813 

I '50829 

2-04665 

260385 

3-18056 
3*77745 
4*39523 
5*03463 
5-69642 

6-38136 
7-09028 
7 -82401 

8*58343 
9-36942 

10-18292 
1 1 -02489 
1 1 -89633 
12-79828 

13*73179 
14*69797 



11-564 % 



-100 
•213 
•338 
•477 
633 

•806 

I'OOO 

I -216 

1*457 
1-726 

2-026 
2-361 

2-734 

3*151 
3-616 

4*135 
4*713 
5*359 
6-079 

6882 
7*779 



Years 



I 

2 

3 
4 
5 

6 

7 
8 

9 
10 

II 
12 

13 
14 
IS 

16 

17 
18 

19 
20 
21 



I 
2 

. 3 

4 
S 

6 

7 
8 

9 
10 

II 
12 

13 
14 
IS 

16 

17 
18 

19 
20 
21 



(100) 



(lOl) 



INTEREST TABLES 



For explanation see pp. 14-16 



Number of Tears' 


Purchase for the Renewal of 


any Number of Tears 






Expired in a 










FOBTT TEARS' LEASE 






Years 


2% 


2i% 


3% 


3i% 


Years 


I 


•45289 


•37243 


-30655 


■25257 


I 


2 


•91484 


•75417 


-62231 


•51398 


2 


3 


I •sseos 


I -14545 


-94753 


-78454 


3 


4 


I •86664 


I -54652 


I -28252 


I -06458 


4 


S 


2-35686 


I -95761 


I -62755 


1-35441 


5 


6 


2-85689 


2-37898 


I -98293 


1-65439 


6 


7 


3-36692 


2 81089 


2-34898 


I -96486 


I 


8 


3-88715 


3-25359 


2-72600 


2 -28620 


9 


4-41778 


3-70737 


3-1 1434 


2-61879 


9 


10 


4-95902 


4-17248 


3-51433 


2-96302 


10 


II 


5-51110 


4-64922 


3-92631 


3^31930 


II 


12 


6^07421 


5-13788 


4-35066 


3-68805 


12 


13 


6-64858 


5-63876 


4-78774 


4^06970 


13 


14 


7-23444 


6-15216 


5 -23793 


4-46472 


14 


15 


7-83202 


6-67839 


5-70162 


4-87355 


IS 


16 


8-44155 


7-21778 


6-17923 


5-29670 


16 


'Z 


9-06328 


7-77066 


6-67116 


5-73466 


17 


18 


9-69743 


8-33736 


7-17785 


6-18794 


18 


19 


10-34427 


8^91822 


7-69975 


6-65710 


19 


20 


1 1 00405 


9-51361 


8-23729 


7-14267 


20 


21 


1 1 '67702 


10-12388 


8-79097 


7-64523 


21 


22 


12-36345 


10-74941 


9-36126 


8^16539 


22 


23 


1 3^0636 1 


11-39057 


9-94865 


8-70375 


23 


24 . 


13-77777 


12-04777 


10-55367 


9-26095 


24 


25 


14^50622 


12-72139 


11-17683 


983766 


25 


26 


15-24923 


13-41186 


ir8i87o 


10-43455 


26 


27 


16 -007 1 1 


14-11959 


12-47881 


1 1 -05233 


27 


28 


i6^78oi4 


1 4^8450 1 


13-16077 


11-69174 


28 


29 


17-56863 


15-58856 


13-86215 


12-35352 


29 


30 


18^37290 


i6^3507i 


14-58457 


13-03846 


30 


31 


19-19324 


17-13190 


15-32866 


13-74738 


31 


32 


20-03000 


17-93263 


16-09508 


14-481 1 1 


32 


33 


20-88349 


18-75338 


16-88449 


15-24053 


33 


34 


21-75405 


19-59465 


17-69758 


16-02652 


34 


35 


22 -64202 


20-45694 


18-53506 


16-84002 


35 


36 


23-54775 


21-34080 


19-39767 


17-68199 


36 


37 


24-47160 


22*24675 


20-28616 


18-55343 




38 


25-41392 


23-17535 


21-20130 


19-45538 


38 


39 


26-37509 


24-12716 


22-14390 


20-38889 


39 


40 


27-35548 


25-10277 


23-11477 


21-35507 


40 



i 



11023 



INTEREST TABLES 



Number of Tears' Purchase for the Renewal of anj 


r Number of Tears 






Expired 


in a 










FORTT TEARS' LEASE 






Years 


4% 


4i% 


5% 


8% 


Years 


I 


-20828 


•17192 


•14205 


•04603 


I 


2 


-42490 


•35159 


-29120 


•09574 


2 


3 


-65019 


•53934 


-44780 


•14943 


3 


4 


•88449 


•73554 


-61224 


•20742 


4 


5 


I^i28i6 


•94057 


-78490 


•27004 


5 


6 


I -38157 


I -15482 


-96619 


•33768 


6 


7 


1-64512 


I -37872 


I -15654 


•41072 


1 


8 


I -91922 


1-61269 


I -35641 


•48961 


9 


2-20428 


I -85719 


I -56628 


•57481 


9 


10 


2-50074 


2-1 1269 


I -78664 


•66683 


10 


II 


2-80905 


2-37969 


2-01802 


•76620 


II 


12 


3-12971 


2-65871 


2-26096 


-87353 


12 


13 


3^46318 


2-95028 


2-51606 


-98945 


13 


14 


3-81000 


3-25497 


2-78391 


1-11463 


14 


IS 


4-17069 


3-57337 > 


306515 


I ^24983 


15 


16 


4^54581 


3-90610 


3-36045 


1-39585 


16 


'2 


4-93593 


4-25381 


3-67052 


1-55355 


\l 


18 


5-34165 


4-61716 


3-99609 


I -72387 


19 


5-76361 


4-99686 


4-33794 


I 90781 


19 


20 


6-20244 


5-39364 


4-69688 


2-10646 


20 


21 


6-65883 


5-8(5829 


5-07377 


2-32101 


21 


22 


7-13347 


6-24159 


5-46950 


2-55272 


22 


23 


7-62710 


6-69439 


5-88502 


2-80297 


23 


24 


8-14047 


7-16757 


6-32132 


3-07324 


24 


25 


8-67438 


7 -66203 


6-77943 


336513 


25 


26 


9^22965 


8-17875 


7 -26045 


3-68037 


26 


27 


9^80712 


8-71873 


7*76552 


4-02083 


27 


28 


10^40770 


9-28300 


8-29584 


4-38853 


28 


29 


1 1 '03229 


9-87266 


8-85268 


4-78565 


29 


30 


11-68187 


10-48886 


943736 


5-21453 


30 


31 


12-35744 


11-13279 


10-05127 


5-67772 


31 


32 


1 3 06002 


1 1 -80569 


10-69588 


6-17797 


32 


33 


13-79072 


12-50888 


11-37272 


6-71824 


33 


34 


14-55063 


13-24371 


12-08340 


7-30173 


34 


35 


15-34095 


14-01 160 


12-82961 


7-93190 


35 


36 


16-16287 


14-81405 


13-61314 


8-61248 


36 


37 


17-01768 


15-65262 


14-43584 


9-34751 




38 


17-90668 


16-52891 


1 5^29968 


10-14135 


38 


39 


18-83123 


17-44464 


16^2067 1 


10-99868 


39 


40 


19.79277 


18-40158 


17-15909 


II -92461 


40 



(103) 



INTEREST TABLES 

The Percentage per Annnm which each Number of Years' Purchase of a 

Perpetuity allows the Purchaser 



For explanation see p. i6 



Years 


PEB CENT. 


PER ANNUM 


Years 




£ 


£ s. d. 




I 


100 


100 


X 


2 


50 


50 


3 


3 


33 -J 


33 6 8 


3 


4 


25 


25 


4 


5 


20 


20 


5 


6 


166 


16 13 4 


6 


I 


U'285:^ 


14 5 8i 


I 


8 


12*5 


12 10 


9 


ii^i 


II 2 2| 


9 


10 


10 


10 


10 


II 


909 


9 I 9f 


XX 


12 


8-3 


8 6 8 


X2 


13 


7-69236 


7 13 loj 


13 


14 


7-14285 


7 2 loi 


X4 


15 


6-6 


6 13 4 


15 


i6 


6 25 


650 


x6 


:i 


5-88235 
S-5 


5 17 7f 

5 II I: 


U 


19 


5 •26316 


5 5 3i 


"9 


20 


5 


500 


20 


21 


4-7619 


■ 4 15 2f 


21 


22 


4-5 


4 10 II 


22 


23 

24 


4-3478 
4^i6 


4 6 11^ 
4 3 4 


23 

24 


25 


4 


400 


25 


26 


3-84615 


3 16 II 


26 


27 


3-76 


3 14 I 


27 


28 


3-5714 


3 II 5i 


28 


29 


3-4483 


3 8 III 


29 


30 


3-3 


368 


30 


31 


3-2258 


3 4 6i 


31 


32 


3-125 


326 


32 


33 


3-03 


3 7j 


33 


34 


2*9412 


2 18 10 


34 


35 


±•85714 


2 17 If 


35 


36 


2*7 


2 15 6| 


36 


H 


±•76 


2 14 of 


37 


38 


2-6316 


2 12- 7i 


38 


39 


±•56416 


2 II 3| 


39 


40 


2-5 


2 10 


40 


41 


2-4396 


2 8 9j 


41 


42 


2-38095 


2 7 71 


42 


43 


2-32558 


2 6 6J 


43 


44 


2-27 


2 5 5i 


44 


45 


2-2 


2 4 5i 


45 


46 


2-17391 


2 3 5y 


46 


47 


2-12766 


2 2 6f 


47 


48 


2-083 


2 I 8 


48 


49 


2^0408 


2 9| 


TT 

49 


50 


2-0 


200 


50 



INTEREST TABLES 



(104) 



For explanation see p. 16 



INTEEEST, AMOUNT, AND DISCOUNT OF £1 IN A YEAR, NINE, 

SIX, AND THREE MONTHS 


Interest 
per Annum 


Period 


Interest 


Amount 


Discount 


1 % 


M 


I year 
9 months 
6 „ 

I3 M 


•01 
-0075 
•005 
•0025 


I-OI 
1-0075 
1^005 
1-0025 


•009901 
-007444 

•004975 
•002494 


u% 


I year 
9 months 

I3 » 


•015 
•01 125 
-0075 

-00375 


1-015 
I -01 125 
1-0075 
I -00375 


•014778 
•01 1 125 
•007444 
-003736 


If % 


I year 
months 
6 „ 

3 « 


•0175 

•01 3 1 25 

•00875 

•004375 


1-OI75 

roi3i25 

1^00875 

1-004375 


•01 7 199 
•012955 
•008674 
-004356 


2 % 


/ 1 year 
1 9 months 

16 „ 

3 » 


•02 
•015 
•01 
•005 


I^02 
1-015 
I-OI 
1*005 


•019608 
•014778 
009901 
-004975 


2i% 


/ 1 year 
J 9 months 
6 „ 

I3 M 


-0225 
•016875 
•01125 
•005625 


I ^0225 
I -016875 
I -01 125 
I -005625 


•022005 
•016595 
•01 1 125 

•005593 


2i% 


/ I year 
9 months 
16 „ 

(3 » 


•025 
•01875 
•0125 
•00625 


1-025 
I -01875 
1-0125 
1*00625 


•024390 
-018405 
•012346 
•006211 


2f % 


i I year 
9 months 
6 „ 
3 » 


•0275 
•020625 

•01375 
•006875 


I ^0275 
I ^02062 5 

I -01375 
I ^006875 


•026764 
•020208 

•013563 
•006828 


3 % 




I year 
9 months 
6 „ 
3 » 


•03 
•0225 
•0x5 
•0075 


1-03 
I 0225 
1-015 
1-0075 


•029126 
-022005 
•014778 
•007444 


3i% 


/ 1 year 
9 months 
6 „ 

\3 »» 


•035 
•02625 

•0175 

•00875 


1-035 
I ^02625 

I -0175 

1-00875 


•033816 
-025579 
•017 199 
-008674 


4 % 


/ 1 year 
9 months 
6 „ 

v3 » 


•04 
•03 
•02 
•01 


1^04 
I 03 
1-02 

I-OI 


038462 
•029126 
•019608 
•009901 


44% 


/ 1 year 
9 months 

16 „ 
13 " 


•045 

•03375 
•0225 

•01 125 


1-045 

1-03375 
I -0225 

I -01 125 


•043062 
•032648 
•022005 
•01 1 125 


5 % 


- 


I year 
9 months 
6 „ 
3 » 


•05 

•0375 
•025 

•0125 


1-05 

I -0375 
I 025 

1-0125 


•047619 

•036145 
-024390 

•012346 



(105) 



I 



INTEBEST TABLES 



For explanation see pp. i6, 17 



SINKING FUND FOE THB EEPAYMENT OF LOANS 


Years 


1% 


li% 


li% 


11% 


Years 


I 


I'OOOOOO 


I^OOOOOO 


I'OOOOOO 


I 000000 


I 


2 


•497512 


•496893 


•496278 


•495663 


2 


3 


•330022 


•329202 


•328383 


•327567 


3 


4 


•246281 


•245361 


•244445 


•243532 


4 


5 


•196040 


•195062 


•194089 


•193121 


1 

5 


6 


•162548 


•I6I534 


•160525 


•159523 


6 


7 


•138628 


•137589 


•136556 


•135531 


7 


8 


•120690 


•I 19633 


•I 18584 


•I 17543 


8 


9 


•106740 


•I 0567 1 


•104609 


•103558 


9 


10 


•095582 


•094503 


•093434 


•092375 


10 


II 


•086454 


•085367 


•084294 


•083231 


II 


12 


•078849 


•077758 


•076680 


•075614 


12 


13 


•072415 


•07 1 32 1 


•070240 


•069173 


13 


14 


•066901 


•065805 


•064723 


•063656 


14 


15 


•062124 


•061026 


•059944 


•058877 


15 


16 


•057945 


•056847 


•055765 


•054700 


16 


'Z 


•054258 


•053160 


•052080 


•05IOI6 


17 


18 


•050982 


•049884 


•048806 


•047745 


18 


19 


•048052 


•046955 


•045878 


•044821 


19 


20 


•045415 


•044320 


•043246 


•042 19 1 


20 


21 


•043031 


•041937 


•040866 


•039815 


21 


22 


•040864 


•039770 


•038703 


•037656 


22 


23 


•038886 


•037897 


•036731 


•035688 


23 


24 


•037073 


•035987 


•034924 


•033886 


24 


25 


•035407 


•034322 


•033263 


•032230 


25 


26 


•033869 


•032787 


•031732 


•030703 


26 


27 


•032446 


•031367 


•030315 


•029291 


27 


28 


•03 1 1 24 


•030049 


•029001 


•027982 


28 


29 


•029895 


•028822 


•027779 


•026764 


^ 


30 


•028748 


•027679 


•026639 


•025630 


30 


31 


•027676 


•026609 


•025574 


•024570 


31 


32 


•026671 


•025608 


•024577 


•023578 


32 


33 


•025728 


•024668 


•023641 


•022648 




34 


•024840 


•023784 


•022762 


•021774 


34 


35 


•024004 


•022951 


•021934 


•020951 


35 


36 


•023214 


•022165 


•021 152 


•020175 


36 


37 


•022468 


•021424 


•020414 


•019443 


37 


38 1 


•021762 


•020720 


•OI97I6 


•018750 


38 


39 


•021092 


•020054 


•019055 


•018094 


39 


40 


•020456 


•01 942 1 


•018427 


•017472 


40 


41 


•019851 


•018821 


•OI783I 


•016882 


41 


42 


•019276 


•018249 


•017264 


•01632 1 


42 


43 


•018727 


•017705 


•016725 


•015787 


43 


44 


•018204 


•OI7I86 


•OI62IO 


•015278 


44 


45 


•017705 


•016690 


•015720 


•014793 


1 ■ 

45 


46 


•017228 


•OI62I7 


•01 525 1 


•014330 


46 


47 


•016771 


•015764 


•014803 


•013888 


47 


48 


•016334 


•01 533 1 


•014375 


•013466 


48 


49 


•01591S 


•014916 


•013965 


•OI306I 


49 


50 ! 


•015513 


•014518 


•013572 


•012674 


50 



(106) 





V 




INTEREST TABLES 












SINKING FUND FOE THE EEPAYMENT OF LOANS 








Years 


1% 


I4 /o 


li% 


If % 


Years 




SI 


•015127 


•014136 


•013195 


•012303 


51 




52 


•014756 


•013769 


•012833 


•01 1947 


52 






53 


•014400 


•013416 


•012485 


•01 1605 


53 






54 


•014057 


•013078 


•012151 


•01 1277 


54 






55 


•013726 


•012751 


•01 1830 


•010961 


55 


1 




56 


•013408 


•012437 


•01 1 52 1 


•010658 


56 






P 


•013102 


•012135 


01 1223 


•010366 








•012806 


•01 1843 


•010937 


•010085 


58 






§2 


•012520 


•01 1562 


•010660 


•009814 


59 






•012244 


•01 1290 


•010393 


•009553 


60 






61 

^ _ 


•01 1978 


•01 1028 


•010136 


•009302 


61 






62 


•01 1720 


•010774 


•009888 


009059 


62 






P. 


•01 147 1 


•010529 


•009647 


•008825 


63 






sj 


•01 1230 


•010292 


•009416 


•008598 


64 






65 


•010997 


•010063 


•009191 


•008379 


65 






66 


•010771 


•009841 


•008974 


•008168 


66 






67 


•01055 1 


•009626 


•008764 


•007964 


67 






68 


•010339 


•009417 


•008560 


•007766 


68 


^ 




69 


•010133 


•009215 


•008363 


•007575 


69 






70 


•009933 


•009019 


•008172 


•007389 


70 






71 


•009739 


•008829 


•007987 


•007210 


71 






72 


•009550 


•008645 


•007808 


•007036 


72 






73 


•009367 


•008466 


•007634 


•006868 


73 






74 


•009189 


•008292 


•007465 


•00670^ 


74 






75 


•009016 


•008123 


•007301 


•006546 


75 






76 


•008848 


•007959 


•007 141 


•006392 


76 


i 




U 


•008684 


•007800 


•006987 


•006243 


77 






•008525 


•007644 


•006836 


■006098 


78 






79 


•008370 


•007493 


•006690 


•005958 


79 






80 


•008219 


•007347 


•006548 


•005821 


86 


, 




81 


•008072 


•007203 


•006410 


•005688 


81 






82 


•007929 


•007064 


•006276 


•005559 


82 


J 




P 


•007789 


•006929 


•006145 


•005434 


83 






u 


•007653 


•006797 


•006018 


•005312 


84 






85 


•007520 


•006668 


•005894 


•005194 


85 






86 


•007390 


•006543 


•005773 


•005078 


86 


i 




87 

00 


•007264 


•006420 


•005656 


•004966 


87 






88 


•007 141 


•006301 


•005541 


•004857 


88 






89 


•007021 


•006185 


•005430 


•004751 


89 






90 


•006903 


•006071 


•005321 


•004648 


90 






91 


•006789 


•005961 


•005215 


•004547 


91 






92 


•006676 


•005853 


•0051 12 


•004449 


92 


1 




93 


•006567 


•005747 


•00501 1 


•004353 


93 






94 


•006460 


•005644 


•004913 


•004260 


94 






95 


•006355 


•005544 


•004817 


•004169 


95 






96 


•006253 


•005445 


•004723 


•004081 • 


96 






97 


•006153 


•005349 


•004632 


•003995 


97 






98 


•006055 


•005256 


•004543 


•00391 1 


98 






99 


•005959 


•005164 


•004456 


•003829 


99 






100 


•005866 


•005074 


•004371 


•003749 


100 








« 


< 


[107) 









11 



INTEREST TABLES 



INTEREST TABLES 



\ 



SINKING FUND FOE THE EEPAYMENT OF LOANS 



Years 



I 
2 

3 

4 

5 

6 

7 
8 

9 

10 

II 

12 

13 
14 
15 
i6 

17 
i8 

19 

20 

21 
22 

23 

24 

25 

26 

27 
28 

29 

30 

31 
32 
33 
34 
35 

36 



39 

40 

41 
42 

43 
44 
45 
46 

47 
48 

49 
50 



2% 



I'OOOOOO 

■495049 
•326755 

•242624 

•I92I58 

•158526 
•I345I2 

•I 16509 
•1025 1 5 
•091326 

•082178 
•074563 
•0681 18 
•062602 
•057825 

'053650 
•049970 
•046702 
•043782 
•041 157 

•038785 
036631 
•034668 
•032871 
•03 1 22 1 

•029699 
•028293 
•026990 
•025779 
•024650 

•023596 
•02261 1 
•021687 
•020819 
•020002 

•019233 
•018507 
•01 782 1 
•017171 
•016556 

•015972 
•015417 
•014890 
•014388 
•01 39 10 

•013453 
•01 301 8 

•012602 

•012204 

•01 1823 ■ 



I'OOOOOO 

•494438 

•325945 
•241719 

•191200 

•157535 
•133500 

•I 15485 
•101482 

•090288 
•081 136 

•073517 
•067077 

•061562 

•056789 

•052617 
•048940 
•045677 
•042762 
•040142 

•037776 
•035628 
•033671 
•031880 
•030236 

•028721 
•027322 
•026025 
•024821 
•023699 

•022653 
•021674 
•020757 
•019897 
•019087 

•018325 
•017606 
•016928 
•016285 
•015677 

•015101 

•014554 
•014034 

•013539 
•013068 

•012619 
•012191 
•01 1782 
•01 1392 
•011018 



2i% 2i% 



I'OOOOOO 

•493827 
•325137 

•240818 
•190247 

•156550 

•132495 
•I 14467 

•I00457 
•089259 

•080106 
•072487 
•066048 
•060536 
•055766 

•051599 
•047928 

•044670 
•041760 
•039147 

•036787 
•034646 
•032696 
•030913 
•029276 

•027768 
•026377 
•025088 
•023891 
•022777 

•021739 
•020768 
•019859 
•019007 
•018205 

•01 745 1 
•01 674 1 
•016070 

•015436 
•014836 

•014268 
•013728 
•01 32 1 7 
•012730 
•012267 

•011826 
•01 1407 
•011006 
•010623 
•010258 



For explanation see pp. 16, 17 



3.0/ 

14 /o 



foooooo 

•493222 
•324332 

•239920 
•189298 

•I5557I 
•I3I497 

•113458 
•099441 

•088240 

•079086 
•071469 
•065033 

•059525 
•054759 
•050597 

•046932 
•043681 
•040778 
•038172 

•035819 
•033686 

•031744 

•029969 
•028340 

•026841 
•025458 

•024177 

•022989 
•021884 

•020855 
•019893 
•018993 
•OI8I49 

•017356 

•OI66II 
•OI59IO 
•015248 
•014623 
•014032 

•013472 

•012942 
•012439 
•OII96I 

•01 1507 

•01 1075 
•010664 
•010272 
•009898 

•009541 



Years 



Z 
2 

3 

4 

5 

6 

7 
8 

9 
10 

II 

12 

13 

14 

15 

16 

17 
18 

19 
20 

21 
22 

23 

24 

25 

26 

27 
28 

29 
30 

31 
32 

33 
34 
35 

36 
37 
38 

39 
40 

41 
42 
43 
44 
45 
46 

$ 

49 
50 



SINKING FUND FOR THE REPAYMENT OF LOANS 



(108) 






Years 



51 
52 

53 
54 
55 

56 
57 



61 
62 

65 
66 

% 

69 
70 

71 
72 
73 
74 
75 
76 

77 
78 

81 
82 

83 

S^ 
85 

86 

U 

89 
90 

91 
92 

93 
94 
95 

96 

97 
98 

99 
100 



2% 



•011459 
•01 1 109 
•010774 
•010452 
•010143 

•009847 
•009561 
•009287 
•009022 
•008768 

•008523 
•008286 
•008058 
•007839 
•007626 

•007421 
•007223 
•007032 
•006847 
•006668 

•006494 
•006327 
•006165 
•006007 
•005855 

•005708 
'005564 
•005426 
•005291 
•005161 

•005034 
•0049 1 1 
•004792 
•004676 
•004563 

•004454 
•004348 
•004244 
•004144 
•004046 

•003951 
•003859 
•003769 
•003681 
•003596 

•003513 
•003432 
•003354 
•003277 
•003203 



2i% 



•010661 
•010319 
•009991 
•009677 
•009375 

•009085 
•008807 
•008540 
•008283 
•008035 

•007797 
•007568 
•007347 
•007134 
•006929 

•006731 
•006540 
•006355 
•006177 
•006005 

•005838 
•005677 
•005522 
•005371 
•005226 

•005085 
•004948 
•004816 
•004688 
•004564 

•004444 
^004327 
•004214 
•004104 
•003998 

•003895 

•003795 
•003697 

•003603 

•003511 

•003422 
•003336 
•003252 
'OO3170 
•003091 

•003014 
•002939 
•002866 
•002795 
•002726 



2i% 



•009909 
•009574 
•009254 
•008948 
•008654 

•008373 
•008102 
•007842 
•007593 
•007353 

•007123 
•006901 
•006688 
•006482 
•006285 

•006094 
•005910 

•005733 
•005562 
•005397 

•005238 
•005084 
•004936 
•004792 
•004654 

•004519 
•004390 
•004265 
•004143 
•004026 

•003912 
•003803 
•003696 
•003593 
•003493 

•003396 
•003303 
•003212 
•003124 
•003038 

•002955 
•002875 
•002797 
•002721 
•002648 

•002577 
•002507 
•002440 
•002375 
•002312 



21% 



•009200 
•008874 
•008563 
•008265 
•007980 

•007706 
•007444 
•007193 
•006952 
•006720 

•006498 
•006284 
•006079 
•005881 
005691 

005508 
•005332 
•005163 
•005000 
•004842 

•004690 
•004544 
•004403 
•004267 
•004136 

•004009 
•003886 
•003768 
•003654 

•003543 

•003437 

•003334 
•003234 
•003137 
•003044 

•002954 
•002867 
•002782 
•002700 
•00262 1 

•002545 
•002470 
•002399 
•002329 
•002261 

•002196 
•002133 
•00207 1 
•002012 
•001954 



Years- 



51 
52 

53 
54 
55 

56 
57 
58 

59 
60 

61 
62 
63 

65 
66 

$7 
68 

69 
70 

71 
72 
73 
74 
75 
76 

79 
80 

81 
82 

83 
84 
83 
86 

87 
88 

89 
90 

91 
92 

93 

94 
95 

96 
97 
98 

99 
100 



(109) 



INTEREST TABLES 



INTEREST TABLi;^ 



For explanation see pp. i6, 17 



SINKING FUND FOE THE REPAYMENT OF LOANS 


Years 


3% 


3i% 


3i% 


3f % 


Years 


I 


I'OOOOOO 


I'OOOOOO 


I'OOOOOO 


I^OOOOOO 


I 


2 


•49261 1 


•492005 


•491400 


•490798 


2 


3 


•323530 


•322731 


•321934 


•321 140 


3 


4 


•239027 


•238137 


•237251 


•236369 


4 


5 


•188355 


•I874I5 


•I8648I 


•185552 


5 


6 


•154598 


•153630 


•152668 


•I5I7I2 


6 


7 


•130506 


•129522 


'1 28544 


•127574 


7 


8 


•I 12456 


•I 1 1463 


•II0477 


•109498 


8 


9 


•098434 


•097436 


•096446 


•095465 


9 


10 


•087231 


•086231 


•085241 


•084261 


10 


II 


•078077 


•077079 


•076092 


•075 "5 


II 


12 


•070462 


•069467 


•068484 


•067512 


12 


13 


•064030 


•063039 


•062062 


•061096 


13 


14 


•058526 


•057542 


•056571 


•055613 


14 


15 


•053767 


•052789 


•051825 


•050876 


1 

15 


16 


•04961 1 


•048640 


•047685 


•046745 


16 


17 


•045953 


•044990 


•044043 


•043 II 3 


17 


18 


•042709 


•041754 


'0408I7 


•039897 


18 


19 


•039814 


•038868 


•037940 


•037031 


19 


20 


•037216 


•036279 


•035361 


•034462 


20 


21 


•034872 


•033944 


•033037 


•032149 


21 


22 


•032747 


•031829 


•030932 


•030055 


22 


23 


•030814 


•029906 


•029019 


•028153 


23 


24 


•029047 


•028149 


•027273 


•026419 


24 


25 


•027428 


•026539 


•025674 


•024832 


25 


26 


•025938 


•025060 


•024205 


•023375 


26 


27 


•024564 


•023696 


•022852 


•022033 


27 


28 


•023293 


•022435 


■021603 


•020795 


28 


29 


•0221 15 


•021267 


•020445 


•019650 


29 


30 


•02IOI9 


•020182 


•01937 1 


•018588 


30 


31 


•019999 


•OI9I72 


•018372 


•017600 


31 


32 


•019047 


•018230 


•017442 


•01 668 1 


32 


33 


•OI8I56 


•017350 


•016572 


•015824 


33 


34 


•017322 


•016526 


•015760 


•015023 


34 


35 


•016539 


•015753 


•014998 


•014273 


35 


36 


•015804 


•015028 


•014284 


•013571 


36 


H 


•OI5II2 


•014346 


•OI36I3 


•01 29 1 1 


%* 


38 


•014459 


•013704 


•012982 


'012292 


39 


•013844 


•013099 


•012388 


•01 1709 


39 


40 


•013262 


•012528 


•OII827 


•01 1 159 


40 


41 


•OI27I2 


•01 1988 


•on 298 


'0 1 0642 


41 


42 


•OI2I92 


•01 1478 


•010798 


'010153 


42 


43 


•01 1698 


•010994 


•010325 


•009691 


43 


44 


•01 1230 


•010536 


•009878 


•009254 


44 


45 


•010785 


•OIOIOI 


•009453 


•008841 


45 


46 


•010363 


•009688 


•009051 


•008/J49 


46 


47 


•009961 


•009296 


•008669 


•008078 


% 

49 
SO 


48 


•009578 


•008923 


•008306 


•007726 


49 


•009213 


•008568 


•007962 


•007392 


so 


•008866 


•008230 


•007634 


•007074 



(no) 



SINKING FUND FOR THE REPAYMENT OF LOANS 




Years 


3% 


3i% 


•007322 


3f % 


Years 


51 


•008534 


•007908 


•006772 


51 


52 


•008217 


•007601 


•007024 


•006485 


52 




53 


•007915 


•007308 


•006741 


•006212 


53 




54 


•007626 


•007028 


•006471 


•005952 


54 




55 


•007349 


•006761 


•006213 


•005704 


55 




56 


•007085 


•006506 


•005967 


•005468 


56 




57 


•006831 


'O06261 


•005732 


•005242 


57 




58 


•006588 


'O06028 


•005508 


•005028 






g 


•006356 


'005804 


•005294 


•004822 


59 




•006133 


•005590 


•005089 


•004627 


60 




61 


•005919 


•005385 


•004892 


•004440 


61 




62 


•005714 


'O05188 


•004705 


•004261 


62 




63 


■005517 


'005000 


•004525 


•004090 


63 




64 


•005328 


'OO4819 


•004353 


•003927 


64 




65 


•005146 


•004646 


•004188 


•003771 


65 




66 


•004971 


•004479 


•004030 


•003621 


66 




S 


•004803 


•004320 


•003879 


•003478 


67 




68 


•004642 


•004166 


■003734 


•003341 


68 




69 


•004486 


•004019 


•003595 


•003210 


69 




70 


•004337 


•003877 


•003461 


•003085 


70 




71 


•004193 


•003741 


■003333 


•002964 


71 


. 


72 


•004054 


•003610 


•003210 


'OO2849 


72 


! 


73 


•003921 


•003484 


•003092 


•002738 


73 




74 


•003792 


•003363 


'002978 


•002633 


74 




75 


•003668 


•003247 


•002869 


■002531 


75 




76 


•003548 


•003135 


•002764 


•002434 


76 




U 


•003433 


•003027 


•002664 


•002340 


77 




78 


'003322 


•002923 


•002567 


•002250 


78 




g 


'003215 


•002823 


•002474 


•002164 


79 




'003112 


•002727 


•002385 


•002082 


80 




81 


•003012 


•002634 


002299 


•002003 


81 




82 


•002916 


•002545 


•002216 


•001926 


82 




83 


•002823 


•002459 


•002137 


•001853 


83 




84 


•002733 


•002376 


•002060 


•001783 


84 




85 


'002647 


•002295 


•001987 


•OO1716 


85 


. 


86 


•002563 


•002218 


•001916 


•00165 1 


86 


; 


S7 


•002482 


•002144 


•001848 


•001589 


87 




88 


•002404 


•002072 


•001782 


•001529 


88 




89 


•002329 


•002003 


'OO1719 


•001472 


89 




90 


'002256 


•001936 


•001658 


•OOI416 


90 




91 


'002185 


•001872 


•001599 


•001363 


91 




92 


•002117 


•001809 


•001543 


OO1312 


92 




93 


•00205 1 


•001749 


•001488 


•001263 


93 




94 


•001987 


•001 69 1 


•GO 1436 


•OOI216 


94 




95 


•001926 


•001635 


•001385 


•001 171 


95 




96 


•001866 


•001582 


•001337 


•001 127 


96 




97 


•001809 


•001529 


•001290 


•001085 


% 




98 


•001753 


•001479 


'OOI245 


'OOIO45 




99 


'001699 


•001430 


•00I20I 


•001006 


99 


!• 


100 


•001647 


•001384 


•001 159 


000969 


100 





(III) 



»[ 



I 






Years 



Z 

2 

3 

4 

5 

6 

7 
8 

9 

10 

II 

12 

13 
M 
15 
i6 

17 
i8 

19 

20 

21 
22 

23 

24 

25 
26 



29 

30 

31 
32 

33 
34 
35 

36 

37 

38 

39 
40 

41 
42 

43 
44 
45 

46 

47 
48 

49 
50 



.IJTTEREST TABLES 



SINKING FUND FOB THE BEFATMENT OF LOANS 



4% 



i-oooooo 
•490196 

•320349 
•235490 
•184627 

•150762 
•I266IO 

•108528 
•094493 

•083291 

•074149 
•066552 

•060144 
•054669 

•049941 

•045820 
•042199 

•038993 

•036139 

•033582 

•031280 
•029199 
•027309 

•025587 

•024012 

•022567 
•021239 
•020013 

•018880 

•017830 
•016855 

•015949 

•01 5 104 

•014315 
•013577 
•012887 
•012240 
•01 1632 
•011061 
•010523 

•010017 
•009540 
•009090 
•008665 
•008262 

•007882 
•007522 
•007181 
•006857 
•006550 



4i 



Oy 



^O 



I-OOOOOO 

•489596 

•319559 
•234615 

•183707 
•I498I7 

•125652 
•107565 

•093529 

•082330 

•073193 
•065603 
•059203 
•053738 

•049020 

•044910 
•041300 
•038107 
•035264 

•032720 

•030431 
•028362 
•026486 
•024776 

•023215 

•021783 
•020467 
•019255 
•OI8I35 
•017098 

•OI6I37 

•015243 

•OI44II 

•013635 

•OI29IO 
•012232 

•01 1597 

•01 1002 
•010444 
•009918 

•009424 
•008959 
•008521 
•008107 
•007717 

•007348 

•006999 
•006669 

•006356 

•006060 



4i% 



I^OOOOOO 

•488997 

•318773 
•233744 

•182792 

•148878 

•I 2470 1 
•106609 

•092575 
•081379 

•072248 
•064666 
•058275 
•052820 
•0481 14 

•044015 
•040418 

•037237 
•034407 

•031876 

•029601 
•027546 
•025682 
•023987 
•022439 

•02I02I 
•OI9719 
•O1852I 
•OI7415 
•016392 

•015443 

•014563 

•013745 
•012982 

•012270 

•01 1606 
•010984 
•010402 
•009856 

•009343 
•008862 
•008409 
•007982 
•007581 
•007202 

•006845 
•006507 
•006189 
•005887 
•005602 



/o 



I^OOOOOO 

•487805 
•317209 

•232012 

•180975 

•I470I7 
•122820 
•104722 
•090690 

•079505 
•070389 
•062825 
•056456 

•051024 
•046342 

•042270 
•038699 

•035546 

•032745 
•030243 

•027996 

•025971 
•024137 

•02247 I 
•020952 

•019564 
•018292 
•OI7I23 
•016046 

•01 505 1 

•OI4I32 
•013280 
•012490 

•01 1755 

•01 1072 

•010434 
•009840 
•009284 
•008765 
•008278 

•007822 

•007395 

•006993 
•006616 
•006262 

•005928 
•005614 
•005318 

•005040 

004777 



Years 



I 
2 

3 

4 

5 

6 

7 
8 

9 
10 

II 

12 

13 

M 
15 

16 

\l 

19 
20 

21 
22 

23 
24 
25 
26 

27 
28 

29 
30 

31 
32 

33 
34 
35 

36 
37 
38 
39 
40 

41 
42 

43 

45 

46 
47 
48 
49 
50 



For explanation see pp. 16, 17 



(112) 



Years 



51 
52 

S3 
54 
55 

56 
57 
58 

60 

61 
62 

P 

65 
66 
67 
68 

69 
70 

71 
72 

73 
74 
75 
76 

77 
78 

79 
80 

81 
82 

83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 

96 

97 
98 

99 
100 



INTEEEST TABLES 



SINKING FUND FOB THE B^FAYMENT OF LOANS 



Oy 



^O 



•006259 
•005982 
•005719 
•005469 
•005231 

•005005 
•004789 
•004584 
•004388 
•004202 

•004024 
•003854 
•003692 
•003538 
•003390 

•003249 
•0031 15 
•002986 
•002863 
•002745 

•002633 
•002525 
•002422 
•002323 
•002229 

•002139 
•002052 
•001969 
•001890 
•OOI8I4 

•OOI74I 
•001672 
•001605 
•OOI54I 
•001479 

•001420 
•001364 
•OOI3IO 
•001258 
•001208 

•001 160 
•001 1 14 
•001070 
•001028 
•000987 

•000949 
•00091 I 
•000875 
•000841 
•000808 



41% 



•005779 
•005513 
•005261 
005021 
•004793 

•004577 
•004371 
•004175 
•003989 
•003812 

•003643 
•003482 
•003329 
•003183 
•003044 

•002912 
•002785 
•002665 
•002549 
•002440 

•002335 
•002234 
•002139 
•002047 
001960 

•001877 
•001797 
•001 72 1 
•001648 
•001578 

•001511 
•001448 
•001387 
•001329 
•001273 

001219 
•001 168 
•001 1 19 
•001073 
001028 

•000985 
•000944 
•000905 
•000867 
•000831 

•000796 
•000763 
•000732 
•000701 
•000672 



4i% 



•005332 
•005077 
•004835 
•004605 
•004388 

•004181 
•003985 
•003799 
•003622 

•003454 
•003295 
•003143 
•002998 
•002861 
•002730 

•002606 
•002488 
•002375 
•002267 
•002165 

•002068 
•001975 
•001886 
•001802 
•001 72 1 

•001644 
•001571 
•001 501 
•001434 
•OOI371 

•OOI310 
•001252 
•OOH97 
•001 144 
■001093 

•001045 
•000999 
•000955 
•000913 
•000873 

•000835 
•000798 
•000763 
•000730 
•000698 

•000667 
•000638 
•000610 
•000584 
•000558 



Oy 



"^O 



•004529 

•004295 
•004073 
•003|^4 
003667 

•003480 
•003303 
■003136 
•002978 
•002828 

•002686 
•002552 
•002424 
•002304 
•002189 

•002081 
•001978 
•001880 
•001787 
•001699 

•001616 
001536 
•00146 1 
•001390 
•001322 

•001257 
•00; 196 
■001138 
•001082 
•001030 

•000980 
000932 
•000887 
•000844 
•000803 

•000764 
•000727 
•000692 
■000659 
•000627 

•000597 
000568 
•000541 
•000515 
•000490 

•000466 
•000444 
•000423 
•000402 
•000383 



(113) 



Years 

51 
52 

53 

54 
55 

56 
57 
58 

59 
60 

61 
62 
63 

^ 
65 

66 

$7 
68 

69 
70 

71 
72 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 

86 

87 
88 

89 
90 

91 
92 

93 
94 
95 

96 

97 
98 

99 
100 

F 






Sit 



I 



'• 'I 



u 



INTEREST TABLES 





SINKING FUND FOB THE BEFATMENT OF LOANS 




Years 


6% 


7% 


8% 


10% 


Years 


I 


I 000000 


i-oooooo 


foooooo 


I 000000 


I 


2 


•485437 


•483092 


•480769 


•476190 


2 


3 


•314110 


•31 1052 


•308033 


•3021 15 


3 


4 


•228591 


•225228 


•22 1 92 1 


•2I547I 


4 


5 


•177396 


•I 73891 • 


•170456 


•163798 


5 


6 


•143363 


•139796 


•I36315 


•129607 


6 


7 


•119135 


•II5553 


•I 12072 


•105406 


7 


8 


•101036 


•097468 


•094015 


•087444 


8 


9 


•087022 


•083486 


•080079 


•073641 


9 


10 


•075868 


•072377 


•069029 


•062745 


10 


II 


•066793 


•063357 


•060076 


•053963 


II 


12 


•059277 


•055902 


•052695 


•046763 


12 


13 


•052960 


•04965 1 


•046522 


•040779 


13 


14 


•047585 


•044345 


•041297 


•035746 


14 


15 


•042963 


•039795 


•036829 


•031474 


15 


i6 


•038952 


•035858 


•032977 


•027817 


16 


^l 


•035445 


•032425 


•029629 


•024664 


17 


i8 


•032357 


•029413 


•026702 


•021930 


18 


19 


•02962 I 


•026753 


•024128 


•019547 


19 


20 


•027185 


•024393 


•021852 


•01 7460 


20 


21 


•025005 


•022289 


•019832 


•015624 


21 


22 . 


•023046 


•020406 


•018032 


•014005 


22 


23 


•021278 


•01 87 14 


•016422 


•012572 


23 


24 


•019679 


•01 7 1 89 


•014978 


•01 1 300 


24 


25 


•018227 


•01 581 1 


•013679 


•01 01 68 


25 


26 


•016904 


•014561 


•012507 


•009159 


26 


27 


•015697 


•013426 


•01 1448 


•008258 


27 


28 


•014593 


•012392 


•010489 


•007451 


28 


29 


•013580 


•oii/|/i9 


•009618 


•006728 


29 


30 


•012649 


•010586 


•008827 


•006079 


30 


31 


•01 1 792 


•009797 


•008107 


•005496 


31 


32 


•01 1002 


•009073 


•007451 


•004972 


32 


33 


•010273 


•008408 


•006852 


•004499 


33 


34 


•009598 


•007797 


•006304 


•004074 


34 


35 


•008974 


•007234 


•005803 


•003689 


35 


36 


•008395 


•006715 


•005345 


•003343 


36 


37 


•007857 


•006237 


•004924 


•003030 




38 


•007358 


•005795 


•004539 


•002747 


38 


39 


•006894 


•005387 


•004185 


•002491 


39 


40 


•006462 


•005009 


•003860 


•002259 


40 


41 


•006059 


•004660 


•003562 


•002050 


41 


42 


•005683 


•004336 


•003287 


•001860 


42 


43 


•005333 


•004036 


•003034 


•001688 


43 


44 


•005006 


•003758 


•002802 


•001532 


44 


45 


•004701 


•003499 


•002587 


•001391 


45 


46 


•004415 


•003260 


•002390 


•001263 


46 


^l 


•004148 


•003037 


•002208 


•001 147 


47 


48 


•003898 


•002831 


•002040 


•001041 


48 


49 


•003664 


•002639 


•001886 


•000946 


49 


50 


•003444 


•002460 


•001743 


•000859 


50 



For explanation see pp. 16, 17 



("4) 



INTEREST TABLES 



SINKING FUND FOB THE BEFAYMENT OF LOANS 



Years 



51 
52 

53 
54 
55 

56 
57 
58 
59 



61 
62 

63 

^ 
65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

77 
78 

79 
80 

81 
82 

83 
84 
85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 

99 
zoo 



6% 



•003239 

•003046 
•002866 
•002696 
•002537 

•002388 
•002247 
•0021 16 
•001992 
•001876 

•001766 
•001664 
•001567 
•001476 
•001 39 1 

•0013 10 
•001235 
•001 163 
•001096 
•001033 

•000974 
•000918 
•000865 
•000815 
•000769 

•000725 
•000683 
•000644 
•000607 
•000573 

•000540 
•000509 
•000480 
•000453 
•000427 

•000402 
•000380 
•000358 
•000338 
•000318 

•000300 
•000283 
•000267 
•000252 
•000238 

•000224 
•0002 1 1 
•000199 
•000188 
•000177 



7% 



8% 



•002294 
•002139 
•001995 
•001 86 1 
•001736 

•001620 
•001512 
•001411 
•001317 
•001229 

•001 147 
•001071 
•ooiooo 
•000934 
•000872 

•000814 
•000760 
•000710 
•000663 
•000620 

•000579 
•000541 
•000505 
•000472 
•000441 

•000412 
•000385 
•000359 
•000336 
•000314 

•000293 
•000274 
•000256 
•000239 
•000223 

•000209 
•000195 
•000182 
•000170 
•000159 

•000149 
•000139 
•000130 
•0001 2 1 
•0001 13 

•000106 
•000099 
•000092 
•000086 
•000081 



•001611 
•001490 
•001377 
•001274 
•001 1 78 

•001090 
•001008 
•000932 
•000862 
•000798 

•000738 
•000683 
•000632 
•000585 
•000541 

•000501 
•000464 
•000429 
•000397 
•000368 

•000340 
•000315 
•000292 
•000270 
•000250 

•000231 
•000214 
•000198 
•000183 
•000170 

•000157 
•000146 
•000135 
•000125 
•0001 16 

•000107 
•000099 
•000092 
•000085 
•000079 

•000073 
•000067 
•000062 
•000058 
•000053 

•000049 
•000046 
•000042 
•000039 
•000036 



10 



0/ 



^o 



•000780 
•000709 
•000644 
•000585 

•000532 

•000483 

•000439 
•000399 
•000363 
•000329 

•000299 
•000272 
•000247 
•000225 
•000204 

•000186 
•000169 

•000153 

•000139 
•000127 

•0001 15 
•000105 
•000095 
•000086 
•000079 

•000072 
000065 
•000059 
•000054 
•000049 

•000044 
•000040 
•000037 
•000033 
•000030 

•000028 
•000025 
•000023 
•000021 
•000019 

•000017 
•000015 
•000014 
•000013 
•000012 

•ooooii 
•ooooio 
•000009 
•000008 
•000007 



Years 

51 
52 

53 
54 
55 

56 

% 

59 
60 

61 
62 

63 
64 

65 

66 
67 
68 
69 
70 

71 
72 
73 
74 
75 

76 

77 
78 

79 
80 

81 
82 

83 
84 
85 

86 

87 
88 

89 
90 

91 
92 

93 
94 
95 

96 
97 
98 

99 
100 



V\ 



% 



("5) 



W2 



(■■ 



INTEKEST TABLES 



For explanation see p. i8 





Value of an Annuity Yielding Interest ( 


>n Capital at £ 


i and 3^ FEB 






CENT., and Beplacing Capital when Invested at Lower Sates 




Yrs. 

I 


3&2% 


3&2i% 


3i&2% 


3i<fe2i% 


3i&3% 


Yrs. 

I 


•97087 


•97087 


-96618 


•96618 


•96618 


2 


I -90458 


1-90903 


I -88662 


1-89098 


I -89534 


2 


3 


2-80304 


2-81582 


2-76430 


2-77672 


2-78916 


3 


4 


3-66806 


3-69252 


3-60200 


3-62558 


3-64928 


4 


5 


4-50129 


4-54036 


4-40221 


4-43957 


4-47719 


5 


6 


5-30431 


5-36050 


5-16727 


5-22057 


5-27433 


6 


7 


6-07858 


6-15402 


5-89929 


5-97031 


6-04206 


7 


8 


6-82548 


6-92198 


6-60023 


6 68991 


6-78167 


8 


9 


7-54629 


7-66537 


7-27191 


7-38242 


7-49435 


9 


10 


8-24222 


8-38513 


7-91599 


8-04772 


8-18126 


10 


II 


8-91441 


9-08216 


8-53403 


8-68765 


8-84349 


II 


12 


9-56392 


9-75732 


9-12745 


9-30344 


9-48208 


12 


13 


10-19177 


10-41143 


9-69759 


9-89626 


10-09800 


13 


14 


10-79891 


1 1 -04526 


10-24569 


10-46720 


10-69217 


14 


15 


11-38628 


1 1 -65957 


10-77291 


11-01729 


1 1 -26550 


IS 


i6 


11-95455 


12-25505 


1 1 -28030 


11-54748 


ii-8i88i 


16 


'Z 


12-50471 


12-83239 


11-76881 


12-05869 


12-35292 


17 


i8 


13-03745 


13-39224 


12-23958 


12-55176 


12-86857 


18 


19 


13-55348 


13-93522 


12-69329 


13-02751 


13-36650 


19 


20 


14-05349 


14-46192 


13-13082 , 


13-48670 


13-84740 


20 


21 


14-53810 


14-97290 


13-55293 


13-93003 


14-31193 


21 


22 


15-00794 


15-46872 


13-96036 


14-35820 


14-76071 


22 


'^3 


15-46357 


15-94988 


14-35377 


14-77184 


15-19436 


23 


24 


15-90556 


16-41690 


14-73381 


15-17155 


15-61343 


24 


25 


16-33441 


16-87025 


15-10108 


15-55792 


16-01848 


25 


26 


16-75063 


17-31040 


15-45613 


15-93150 


16-41004 


26 


27 


17-15469 


^7'73777 


15-79951 


16-29278 


16-78860 


27 


28 


17-54704 


1815279 


1613172 


16-64227 


17-15465 


78 


29 


17-92810 


18-55588 


16-45322 


16 9804 5 


17-50864 


29 


30 


18-29828 


18-94742 


16-76448 


17-30773 


17-85100 


30 


31 


18-65799 


19-32778 


17-06591 


17*62456 


18-18217 


31 


32 


19-00757 


19-69733 


17-35791 


17-93133 


18-50254 


.32 


33 


19-34740 


20-05640 


17-64087 


18-22842 


18-81251 


33 


34 


19-67781 


20-40535 


17-91515 


18-51620 


19-11243 


34 


3S 


19-99912 


20-74448 , 


18-18109 


18-79502 


19-40267 


3S 


36 


20-31 164 


21-07412 


18-43900 


19-06523 


19-68357 


36 


37 


20*61567 


21-39454 


18-68922 


1932707 


19-95545 




38 


20-91150 


21-70604 


18-93202 


1^-58092 


20-21863 


38 


39 


21-19940 


22 -00890 


19-16768 


19-82705 


20-47340 


39 


40 


21-47962 


2230339 


19-39648 


20-06572 


20-72007 


40 


41 


2175243 


22-58975 


19-61866 


20-29721 


20-95891 


41 


42 


22-01804 


22-86825 


19-83446 


20-52200 


21-19018 


42 


43 


22-27671 


23-13910 


20-04412 


20-73962 


21-41414 


43 


44 


22-52864 


23-40256 


20*24786 


20-95102 


21-63105 


44 


45 


22-77405 


23-65883 


20-44588 


21-15618 


21-84113 


45 


46 


23-01315 


23-90814 


20-63838 


21-35531 


22*04462 


46 


% 


23-24613 


24-15069 


20-82556 


21^54862 


22-24174 


47 


23-47317 


24-38668 


21-00759 


21-73630 i 


22-43270 


48 


49 


23-69446 


24-61630 


21-18466 


22-09863 


22-61771 


49 


5». 


23-91017 


24-83975 1 


21-35693 


22-09569 


22-79696 


SO 






t( 



INTEREST TABLES 



Value of an Annuity Yielding Interest on Capital at 3 and 3^ PEE 
CENT., and Replacing Capital when Invested at Lower Rates 



Yrs. 



51 
52 
53 
54 
55 

56 



61 
62 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

77 
78 

79 
80 

81 
82 

83 
84 

85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 
98 

99 
100 



3&2% 



24*12044 
24-32552 
24-52548 
24*72049 
24-91071 

25-09626 
25-27729 

25-45392 
25-62628 

25-79449 
25-95866 
26-11891 
26-27535 
26-42807 
26-57719 

26-72280 
26-86500 
27-00387 
27-13951 
27-27200 

27-40142 
27-52786 
27-65140 
27-77210 

27 '89005 

28-00531 
28*11795 
28*22805 

28-33565 

28 -44084 

28-54366 
28-64418 
28-74245 
28-83854 

28-93249 
29-02436 
29-11420 
29-20206 
29-28798 
29*37201 

29-45420 
29*53460 
29-61324 
29-69017 

29-76543 

29-83905 
29-91108 
29-98156 
30-05052 
30-11799 



3&2i% 



25-05719 
25-26882 

25-47479 
25-67527 

25-87041 

26-06038 
26-24531 
26*42536 
26-60065 
26*77133 

26*93751 
27-09935 
27-25694 
27-41041 
27-55988 

27-70545 
27-84723 

27-98533 
28*11985 
28*25089 

28*37853 
28*50289 
28-62403 
28-74206 
28-85705 

28-96908 
29-07825 
29-18461 
29-28826 
29-38925 

29-48767 

29-58357 
29*67704 
29-76812 
29-85689 

29-94341 
30-02773 
30-10991 
30-19002 
30-26809 

30*34420 
30-41838 
30-49069 
30-56117 
30-62988 

30-69686 
30-76216 
30-82582 
30-88787 

30-94837 



3i<k2% 

21 -52456 
21-68770 
21*84650 
22*00110 
22*15164 

22*29825 
22*44105 
22*58016 
22*71569 
22*84776 

22 -97647 
23-10193 

23 -22423 
23-34346 
2345973 

23-57311 
23*68369 

23-79155 
23*89677 

23-99943 
24-09960 
24-19720 

24-29275 
24-38587 

24-47676 

24-56549 
24-65212 

24-73670 
24-81930 
24*89996 

24-97874 
25*05568 

25*13085 
25-20427 
25-27601 

25-34609 
25-41458 
25-48150 
25-54689 
25-61081 

25-67327 

25-73433 
25 -79402 

25-85236 

25-90940 

25-96517 
26-01970 
26-07301 
26-12515 
26-17613 



22-26740 
22*42437 

22-59657 
22*75417 

22-90731 

23-05612 
23-20076 

23-34134 
23-47800 

23-61086 

23*74003 
23-86563 

23-9^777 
24-10656 
24-22209 

24*33446 

24-44377 
24*55012 

24-65358 
24*75424 

24*85219 

24-94751 
25*04027 

25-13054 
25*21840 

25-30392 

25-38717 
25*46821 

25-54710 

25-62391 

25-69869 
25-77151 
25-84241 
25*91145 
25*98104 

26*04416 
26*10792 
26*17003 
26*23052 
26*28944 



3*&3% 



Yrs. 



22*97064 
23-13894 
23-30203 
23-46009 
23-61327 

23*76173 
23-90563 
24*04512 
24-18033 
24-31140 

24-43847 
24-56167 

24*68111 

2479691 
24-90920 

25-01807 
25-12365 
25*22603 

25-32532 
25*42160 

25-51498 
25-60554 
25*69338 

25-77857 
25-86120 

25-94135 
26-01910 

26-09451 

26-16766 

26-23863 

26-30747 
26-37425 
26-43905 
26-50191 
26-56289 

26-62206 
26-67946 
26-73516 
26-78920 
26-84163 



26*34683 


26-89251 


26-40274 


26-94187 


26*45720 


26*98977 


26*5x025 


27*03625 


26*56194 


27*08x91 


26*61229 


27-125x2 


26*66135 


27-16759 


26*70916 


27-20880 


26-75573 


27 -24880 


26*80111 


27*28761 



5^ 
52 

S3 

54 

55 

156 
57 
58 

59 
60 

61 
62 

63 

65 
66 

68 

69 

j70 

71 
72 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 

83 

85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 

96 
97 
98 
99 

lOOi 



I M 

I " ,1 

N 

1 
ii 



(116) 



(117) 



5 t 



INTEBEST TABLES 



For explanation see p. 1 8 



Value of an Annnity Yielding Interest on Capital at 4 PES CEHT. 


» 




and Beplacing Capital when Invested at 




Years 


2% 


2i% 


3% 


3i% 


Years 


I 


•96153 


•96153 


•96153 


•96153 


I 


2 


1-86898 


1-87326 


1-87754 


I -88182 


2 


3 


272662 


273870 


2-75080 


2-76294 


3 


4 


3-53827 


3-56103 


3-58388 


3-60684 


4 


5 


4 30740 


4-34316 


4-37916 


4-41538 


5 


6 


5-03713 


5-08777 


5-I388I 


5-19027 


6 


7 


573026 


5-79725 


5 -86488 


5 -933 1 5 


7 


8 


6-38938 


6-47386 


6-55925 


6-64555 


8 


9 


7-01678 


7-11962 


7-22367 


7-32891 


9 


10 


7-61514 


7-73641 


7-85975 


7-98458 


10 


II 


8-18478 


8-32598 


8-46902 


8-61390 


11 


12 


8-72908 


8-88990 


9-05288 


9-21562 


12 


13 


9-24912 


9-42967 


9-61265 


9-79801 


13 


14 


9-74640 


9-94663 


IO-I4957 


10-35513 


14 


15 


10-22229 


10-44207 


10-66478 


10-89027 


15 


i6 


10-67804 


10-91715 


1 1 -'15936 


1 1 -40448 


16 


'2 


1 1 -1 1483 


11-37297 


11-63433 


1 1 -89865 


17 


i8 


11-53374 


1 1 -81055 


12-09063 


12-37366 


18 


19 


"-93577 


12-23083 


12-52915 


12-83033 


19 


20 


12-32184 


12-63470 


12-95073 


13-26945 


20 


21 


12-69281 


13-02298 


13-35617 


13-69177 


21 


22 


13-04948 


13-39646 


13-74620 


14-09799 


22 


23 


13-39260 


13-75584 


14-12152 


14-48880 


23 


24 


13-72286 


14-10182 


14-48280 


14-86484 


24 


25 


14-04091 


14-43503 


14-83066 


15-22672 


25 


26 


14-34736 


14-75606 


15-16569 


15-57501 


26 


27 


14-64277 


1506549 


15-48846 


15-91029 


27 


28 


14-92767 


15-36383 


15-79948 


16-23307 


28 


29 


15-20257 


15-65159 


16-09926 


16-54387 


»9 


30 


15-46792 


15-92924 


16-38827 


16-84315 


30 


31 


15-72417 


16-19722 


16-66696 


17-13138 


31 


32 


15-97173 


16-45594 


16-93577 


17-40901 


32 


33 


16-21099 


16-70582 


17-19509 


17-67646 


33 


34 


16-44232 


16-94721 


17-44532 


17-93411 


34 


35 


16-66605 


17-18048 


17-68681 


18-18236 


35 


36 


16-88252 


17-40597 


17-91993 


18-42158 


36 


H 


1 7 -09204 


17-62397 


18-14499 


18-65211 


37 


38 


17-29488 


17-83481 


18-36232 


18-87428 


38 


39 


17-49134 


18-03877 


18-57222 


19-08843 


39 


40 


17-68167 


18-23612 


18-77498 


19-29486 


40 


41 


17-86611 


18-4271 1 


18-97086 


19-49385 


41 


42 


18-04491 


1 8 -61 201 


19-16014 


19-68571 


42 


43 


18-21828 


18-79103 


19-34307 


19-87068 


43 


44 


18-38643 


18-96440 


19-51987 


20-00000 


44 


45 


18-54957 


19-13234 


19-69078 


20-22104 


45 


46 


18-70788 


19-29505 


19-85603 


20-38691 


46 


47 


18-86154 


19-45272 


20-01580 


20-54688 


47 


48 


19-01074 


19-60554 


20-17032 


20-70116 


48 


49 


19-15563 


19-79522 


20-31978 


20-84998 


49 


50 


19-29637 


19-89731 


20-46434 


20-99354 


SO 



.-^ 



( 



INTEREST TABLES 



Value of an Annuity Yielding Interest on Capital at 4 PER CENT., 




and Beplacing Capital when Invested at 




Years 


2% 


^2/0 


3% 


O2 /o 


Years 


51 


19-4331 1 


20-03658 


20-60419 


21-13201 


SI 


52 


19-56599 


20-17364 


20-73949 


21-26535 


** 

52 


53 


19-69515 


20-30271 


20-87042 


21-39449 


%* 

s^ 


54 


19-82072 


20-42985 


20-99712 


21-51884 


54 


55 


19-94281 


20-55321 


21-11974 


21-63883 


55 


56 


20-06156 


20-67293 


21-23842 


21-75460 


56 


57 


20-17707 


20-78914 


21-35331 


21-86631 


57 


58 


20 28946 


20-90194 


21-47867 


21-97411 


58 


59 


20-39882 


21-01146 


21-57221 


22 078 14 


60 


60 


20-50526 


21-11781 


21-67648 


22-17854 


61 


20-60887 


21-22108 


2177744 


22-27544 


61 


62 


20-70975 


21-32139 


21-87521 


22-36896 


62 


63 


20-80798 


21-41882 


21 96990 


22-45923 


63 


64 


20-90364 


21-51348 


22-06161 


22-54635 


64 


65 


20-99683 


21-60544 


22-15045 


2263045 


1 

65 


66 


21-08760 


21-69480 


22-23650 


22 71 163 


66 


67 


21-17605 


21-78165 


22-31987 


22-78999 


% 


68 


21-26224 


21 86605 


22 -40064 


22-86563 


69 


21-34624 


21-94808 


22-47891 


22 93866 


69 


70 


21-42812 


22-02783 


22-55472 


23-00916 


70 


71 


21-50794 


22-10536 


22-62819 


23-07722 


71 


72 


21-58576' 


22-18074 


22-69939 


23-14293 


1 
72 


73 


21-66164 


22-25403 


22-76839 


23-20638 


73 


74 


21-73565 


22-32530 


22-83527 


23-26763 


74 


75 


21-80783 


22 -39462 


22 -90008 


23-32677 


75 


76 


21-87824 


22-46204 


22-96291 


23-38388 


76 


^ 


21-94693 


22-52761 


23-02380 


23-43902 


• 

77 


22-01394 


22-59140 


23-08283 


23-49226 


78 


P 


22-07933 


22-65345 


23-14006 


23-54367 


S 


80 


22-14314 


22-71383 


23-19553 


23-59331 


81 


22-20542 


22-77257 


23-24932 


23-64125 


81 


82 


22-26620 


22-82973 


23-30146 


23-68755 


82 


P 


2232555 


22-88535 


23-35202 


23-73225 


83 


S^ 


22-38348 


22-93*47 


23-40105 


23-77542 


84 


85 


22-44003 


22-99215 


23-44852 


23-81711 


85 


86 


22-49526 


23-04342 


23-49468 


23-85737 


86 


U 


22-54918 


23-09333 


23-53937 


23-89626 


87 


22 60185 


2314191 


23-58272 


23-93381 


8& 


89 


22-65329 


23-18919 


23 62476 


23 97008 


89 


90 


22-70353 


2323523 


23-66552 


24-00510 


90 


91 


22-75260 


23-28005 


23-70506 


24-03893 


91 


92 


22-80055 


23*32369 


23-74341 


24-07160 


92 


93 


22-84739 


23-36618 


23-78061 


24-10316 


93 


94 


22-89315 


23-40755 


23 81668 


24-13364 


94 


95 


22-93787 


23-44784 


23-85168 


24-16307 


95 


96 


22-98157 


23-48707 


23-88562 


24-19151 


96 


^ 


23-02427 


23-52528 


23-91854 


24-21897 


P 


98 


23-06601 


23-56249 


23-95049 


24-24549 


99 


23-10680 


23-59873 


23-98147 


24-27112 


99 


100 


23-14668 


23-63403 


24-01153 


24-29586 


100 



(118) 



(ii9) 



INTEREST TABLES 



Value of an Annuity Yielding Interest en Capital at 6 PEB CEKT., 
and Replacing Capital when Invested at 



Years 



I 
2 

3 
4 
5 
6 

7 
8 

9 

10 

II 

12 

13 
14 
IS 
i6 

17 
i8 

19 

20 

21 
22 

23 

24 

25 

26 

27 
28 

29 

30 

31 
32 
33 
34 
35 

36 
37 
38 
39 
40 

41 
42 

43 
44 
45 
46 

47 
48 

49 
50 



2% 



•95238 
I -83469 
2-65425 

3 '4 1 736 
4-12953 

479557 
5-41970 

6-cx)565 

6-55671 

7-07581 

7-56556 
8-02828 
8-46608 
8-88083 
9-27425 

9-64784 
o 00302 
0-34104 
0-66305 
0-9701 1 

1-26319 
I -54316 
1-81082 
2-06693 
2-31217 

2-54717 
^•77252 

2-98875 
319638 

3-39586 

358763 
377209 

3-94962 
4-12057 
4-28526 

4-44401 
4-59709 

4-74479 
4-88734 

5-02500 

5-15797 
5 28648 
5-41071 
5-53086 
5-64710 

5-75950 
6-86850 

5-97397 
6-07615 

6-17515 



210/ 
2 /O 



-95238 
I -83882 
2-66570 

3-43858 
4-16239 

4-84145 

5-47959 
6-08024 

6-64642 

7-18088 

7 68604 
8-16412 
8-61710 
9-04678 
945478 

9-84262 
10-21161 
10-56300 
10-89792 
1 1 -21740 

11-52242 
1 1 -81382 

1 2 -09243 
12-35898 
12-61417 

12-85864 

1 3 -09297 
13-31772 
13-53340 
13-74048 

13-93942 
14-13211 

14-31447 
14-49134 

14-66156 

14-82546 
14-98332 

15-13544 
15-28207 

15-42347 

15-55988 
15-69150 
15-81856 
15-94124 
16-05974 

16-17423 
16-28487 
16-39183 
16-55328 
16-59532 



3% 



-95238 
I -84294 
2-67716 
3-45988 
4-19543 
4-88764 

5-53997 
6-15550 
6-73701 
7-28701 

7 -80778 
8-30137 
8-76996 

9-21435 
9-63701 

003907 
0-42182 
0-78647 

1-13414 
.1 -46582 

1 -78248 

2 -08497 
2-3741 1 

2 -65063 

2-91524 
3-16858 
3-41126 

3 -64382 
3-86680 
4-08069 

4-28593 
4-48297 
4-67220 

4-85699 
5-02871 

5-19669 

5-35824 

5-51365 
5-66321 

5-80718 

5-94581 
6-07932 
6 -20795 
633190 
6-45138 

6-56657 
6-67764 
6-78478 
6-88814 
6-98788 



3h% 



•95238 
I -84706 
2-68865 
3-48127 
4-22866 

4-93417 
5-60085 

6-23144 
6-82846 

7-39419 

7-93072 

8-43996 
8-92367 

9-38344 
9-82076 

10-23700 
10-63342 
II 01117 

11-37135 
11-71495 
12-04288 
12-35604 
12-65521 
12-94116 
13-21457 

13-47611 
13-72638 
13-96596 

14-19539 
14-41518 

14-62578 
14-82766 
15-02123 
1 5 -20689 
15-38501 

15-55593 
15-72000 

15-87752 
16-02879 
16-17409 

16-31369 
16-44783 
16-57677 
16-70071 
16-81989 

16-93449 
17-04472 

17-15076 
17-25278 
17-35096 



Years 



I 
2 

3 

4 

5 

6 

7 
8 

9 
10 

II 
12 

13 
14 
13 
16 

17 
18 

19 
20 

21 
22 

23 

24 

25 

26 

27 
28 

29 
30 

31 
32 
33 
34 
35 

36 

37 
38 

39 
40 

41 
42 

43 

44 

45 

46 

47 
48 

49 
SO 



For explanation see p. i3 



(120) 



INTEREST TABLES 



i 



Value of an Annuity Yielding Interest on Capital at 5 PES CEKT., 


• 


and 


Seplacing Capital when Invested at 




Years 


2% 


9i 0/ 


3% 


3i% 


Years 


SI 


16-27113 


16-69206 


17-08414 


17-44544 


51 


52 


16-36418 


16-78572 


17-17706 


17-53639 


52 


53 


16-45443 


16-87635 


17-26677 


17-62394 


53 


54 


16-54198 


16-9641 1 


17-35340 


17-70824 


54 


55 


16-62693 


17-04908 


17-43707 


17-78941 


55 


56 


16-70940 


17-13138 


17-51789 


17-86757 


56 


57 


16-78945 


17-21110 


17-59599 


17-94287 


57 


58 


16-86720 


17-28834 


17-67144 


1801538 


58 


59 


16-94271 


17-36320 


17-74436 


18-08526 


12 


60 


17-01607 


17-43576 


17-81485 


18-15257 


61 


17-08736 


17-50610 


17-88298 


18-21743 


61 


62 


17-15667 


17-57430 


17-94886 


18-27993 


62 


63 


17-22401 


17-64045 


18-01256 


18-34017 


63 


64 


17-28951 


17-70460 


18-07416 


18-39822 


64 


65 


17-35320 


17-76683 


18-13374 


18-45418 


65 


66 


17-41516 


17-82722 


18-19138 


18-50813 


66 


67 


17-47544 


17-88583 


18-24713 


18-56013 


67 


68 


17-53410 


17-94269 


18-30108 


18-61028 


68 


69 


17-59x19 


17-99789 


18-35328 


18-65862 


69 


70 


17-64675 


18-05148 


18-40379 


18-70524 


70 


71 


17-70085 


18-10351 


18-45268 


18-75020 


71 


72 


17-75353 


18-15404 


18-50000 


18-79355 


72 


73 


17-80483 


18-20311 


18-54581 


18-83537 


73 


74 


17-85480 


18-25077 


18-59015 


18-87570 


74 


75 


17-90347 


18-29706 


18-63309 


18-91461 


75 


76 


17-95090 


18 34204 


18-67466 


18-95213 


76 


77 


17-9971 1 


18-38574 


18-71492 


18-98834 


77 


78 


18-04215 


18-42821 


18-75390 


19-02326 


78 


79 


18-08605 


18-46948 


18-79166 


19-05696 


79 


80 


18-12885 


18-50959 


18-82823 


19-08947 


80 


81 


18-17057 


18-54858 


18-86365 


19-12084 


81 


82 


18-21125 


18-58648 


18-89796 


19-15112 


82 


83 


18-25093 


18-62333 


18-93120 


19-18033 


83 


84 


18-28961 


18-65916 


18-96341 


19-20851 


84 


85 


1832738 


18-69^00 


18-99461 


19-23572 


85 


86 


18-36419 


18-72788 


19-02485 


19-26197 


86 


87 


18-40011 


18-76083 


19 054 14 


19-28731 


87 


88 


18-43516 


18-79288 


19-08254 


19-31177 


88 


89 


18-46937 


18-82405 


19-IIO05 


19-33537 


89 


90 


18-50275 


18-85438 


19-13671 


19-35816 


90 


91 


18-53533 


18-88388 


19-16257 


19-38014 


91 


92 


18-56714 


18-91258 


19-18762 


19-40138 


92 


93 


18-59819 


18*94051 


19-21190 


19-42187 


93 


94 


18-62850 


18-96768 


19-23544 


19-44166 


94 


95 


18-65810 


18-99413 


19-25826 


19-46076 


95 


96 


18-68700 


19-01986 


19-28038 


19-47919 


96 


97 


18-71523 


19-04491 


19-30183 


19-49700 


97 


98 


18-74280 


19-06929 


19-32262 


19-51418 


98 


99 


18-76972 


19-09301 


19-34279 


19-53078 


99 


100 


18-79602 


19-11612 


19-36233 


19-54680 


100 



(121) 



INTEREST TABLES 



Value of an Annuity Yielding Interest on Capital at 6 PEE CEHT., 
and Eeplaoing Capital when Invested at 



Years 



I 

2 

3 
4 
5 
6 

7 
8 

9 

10 

II 

12 

13 
14 
15 
i6 

\l 

19 

20 

21 
22 

23 

24 

25 

26 

27 
28 

29 

30 

31 
32 
33 
34 
35 

36 
37 
38 

39 
40 

45 
50 

55 
60 

65 
70 

75 
80 

90 

TOO 



2% 



•94340 
1*80164 
2-58562 

3-30443 
3-96577 

4-57611 
514107 
566543 
615328 
6-60825 

7-03344 
7-43163 
7-80530 

8-15647 
8-48716 

8-79894 

9-09339 
9-37189 

9-63558 
9-88562 

0-12299 
0-34865 
0-56323 
0-76762 
0-96239 

I -14840 
1-32593 

1-49557 
1-65786 

I '^1335 

1 -96229 
2-10493 
2-24185 

2-37333 
2-49969 

2-62100 
2-73772 
2-85000 

2 95824 
3-06233 

3-52997 
3-92312 

4-25659 
4-54165 
4-78721 

5-03895 
5-18488 

5-34660 

5*61378 
5-82203 I 



2i% 



•94340 
I 80562 
2-59648 

3 32427 
3-99605 

4-61787 

5-19494 

5-73174 
6-23220 

6 69976 

7-13745 
7-54791 

7 93349 
8-29628 

8-6381 1 

8-96065 
9-26544 

9-55384 
9-82704 

08603 

0-33197 
0-56569 
0-78795 
0-99953 

1 '20I22 

1-39367 
1-57716 

1-75254 

1 -92023 

2 08065 

2 23406 
2-381 14 
2-52207 
2-65711 
2-78691 

2 -91 139 

3-03084 

3-14579 
3-25627 

3-36255 

3-83757 

4-23325 

4-56579 

4-84715 
5-08637 

5-29122 
5-46695 
5-61865 
5-^6345 
6-04827 



3% 



For explanation see p. 18. 



-94340 
1-80959 
2-60736 
3-34418 
4-02649 

4-65988 
5-24918 

579858 
6-31178 
679205 

7-24234 
7-66507 
8-06257 
8-43697 
8-78990 

9-12317 
9-43814 
9-73624 
0-01863 
0-28637 

0-54052 
0-78202 
1-01152 
I -23002 
1-43798 

I -63630 

1 -82536 
2-00581 
2-17805 
2-34278 

2-50016 

2 65070 
2 79492 

2-93293 
3-06523 



O2 /o 



3-19192 

3-31345 
3-43021 



•54206 
•64964 



4-12729 

4-52095 
4-84803 
5-12104 

5-35014 

5-54316 
5 70648 

5-84485 
6-06271 

6-22139 



(i2ia) 



•94340 

I -81357 
2-61825 

3-36416 
40571 1 

4-70216 
5-30380 
5-86589 
6-39198 
6-88511 

7-34797 
7-78307 

8-19256 

8-57846 

8-94254 

9-28634 
9-61141 
9-91896 
0-21033 
0-48647 

0-74841 
0-99723 
1-23356 
1-45830 
I -67215 

I -87578 
2-06971 

2-25445 
2-43085 

2-59906 

2-75966 
2-91289 
3-05960 
3-19958 
3-33369 
3-46185 

3-58456 
3-70201 

3-81444 
3-92234 

4-39823 

4-78546 
5-10277 

5-36358 

5-57924 

5-75771 
5-90609 

6-02949 

6-21850 

6-35082 



Oy 



''O 



•94340 
I-81753 
2-62916 
3-38421 
4-08786 

4-74469 
5-35877 

5-93373 
6-47279 

6-97881 

7-45440 
7-90189 

8-32335 
8-72075 

9-09579 
9*45001 

9-78483 
O-IOI72 
O-4OI61 
0-68582 

095530 
I -2 1089 

I -45357 
I -68402 

1-90306 

2-III38 
2-30936 

2-49797 
2-67748 

2-84852 

3 -01 1 52 
3-16673 
3-31487 
3-45623 
3-59120 

3-71987 

3-84275 
3-96024 

4-07242 

4-17977 

4-64944 
5-02630 

5-33013 
5-57584 
5-77536 

5-93752 
6-06968 

6-17756 

6-33773 
6-44520 



Years 



I 

2 

3 

4 
5 
6 

7 
8 

9 
10 

XI 

12 
13 
14 
15 
16 

19 
20 

21 
22 

23 

24 

25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 

36 
37 
38 

39 
40 

45 
50 

60 
65 
70 

90 

100 



INTEREST TABLES 



Valne of an Annuity Tielding Interest 


t on Capital at 7 PEE CEHT 


•t 




1 


Emd Eeplaoing Capital when Invested at 




Year 


2% 


2i% 


3% 


31% 


4% 


Years 


I 


•93458 


•93458 


•93458 


•93458 


•93458 


I 


2 


I -76976 


1-77359 


1-77743 


1-78126 


1-78509 


2 


3 


2-52045 


2-53077 


2-54110 


2-55145 


2-56181 


3 


4 i 


3-19873 


3-21732 


3-23596 


3-25467 


3-27343 


4 


5 

* 


3-81449 


3-84250 


3-87064 


3 89892 


3-92731 


5 


6 


4-37587 


4-41404 


4-45240 


4-49099 


4-52977 


6 


7 


4-88969 


4-93839 i 


498738 


503667 


5-08621 


2 


8 


5-36167 


5-42102 


5-48077 


5-54087 


5-60136 


9 


5-79660 


5-86658 1 


5-93704 


6-00795 


6-07929 


9 


10 


6-19863 


6-27908 


6-36007 


6-44160 


652354 


10 


II 


6-57125 


6-66196 


675324 


6-84500 


6-93727 


II 


12 


6-91754 


7-01818 


7-11936 


7-22105 


7.32322 


12 


13 


7-24019 


7-35035 


7-46102 


7-57220 


7-68380 


13 


14 


7-54136 


7 -66072 


7-78053 


7-90070 


8-02124 


14 


15 


7-82320 


7-95127 


8-07970 


8-20850 


8-33743 


15 


16 


8-08734 


8-22376 


8.-36044 


8-49726 


8-63409 


16 


17 


8-33542 


8-47975 


8-62418 


8-76862 


8-91273 


17 


18 


856883 


8-72068 


8-87241 


9-02389 


9-17490 


18 


19 


8-78874 


8-94775 


9-10631 


9-26441 


9-42161 


19 


20 


8-99628 


9-16196 


9-32697 


9-49118 


9-65419 


20 


21 


9.19244 


9-36444 


9-53543 


9-70525 


9-87362 


21 


22 


9-37814 


9-55603 


9-73264 


9-90766 


10-08075 


22 


23 


9-55402 


9-73748 


9-91926 


10-09907 


10-27654 


23 


24 


9-72091 


9-90953 


1009622 


10-28035 


10-46167 


24 


25 


9-87937 


10-07293 


10-26399 


10-45216 


10-63694 


25 


26 


10-03019 


10-22830 


10-42340 


10-61515 


10-80299 


26 


27 


10-17366 


10-37592 


10-57485 


10-76983 


10-96023 


27 


28 


10-31034 


10-51657 


10-71892 


10-91667 


11-10951 


28 


29 


10-44070 


10-65065 


10-85600 


1 1 -05644 


11-25113 


29 


30 


10-56524 


10-77853 


10-98672 


11-18931 


11-38563 


30 


31 


10-68422 


10-90049 


11-11123 


11-31580 


1 1 -51344 


31 


32 


10-79785 


1 1 -01 7 10 


1 1 -23002 


11-43615 


II 63481 


32 


33 


10-90667 


11-12855 


11-34353 


11-55108 


1 1 75033 


33 


34 


11-01091 


1 1 -23507 


11-45187 


1 1 -66045 


1 1 -86029 


34 


35 


11-11086 


H -33723 


1 1 55548 


1 1 -76498 


1 1 -96501 


35 


36 


1 1 -20662 


11-43498 


11-65447 


1 1 -86465 


12-06462 


36 


37 


11-29854 


11-52857 


11 74922 


1 1 -95986 


12-15953 


37 


35 


11-38680 


11-61845 


1 11-84006 


12-05081 


12-25010 


38 


39 


11-47171 


1 1 -70467 


11 92691 


12-13769 


12-33639 


39 


40 


11-55321 


117874s 


12 01028 


12-22091 


12-41881 


40 


45 


11-91753 


12-15554 


12-37854 


12-58606 


12-77759 


45 


50 


12-22150 


12-45982 


12.67974 


12 88095 


1306336 


50 


IS 


12-47770 


12-71391 


12-92842 


13-12112 


13-29239 


55 


12-69551 


1 12-92775 


13-13491 


13-31753 


13-47673 


60 


65 


12-88228 


13-10874 


13-30743 


13-47927 


13-62583 


65 


70 


13-04325 


13-26313 


13-45225 


13-61267 


13-74665 


70 


P 


13-18305 


13-39513 


13-57441 


13-72326 


1384485 


75 


80 


i3-3'5477 


13-50877 


13-67765 


13-81502 


13-92486 


80 


90 


13-50512 


13-69150 


13-83968 


! 13-95518 


14-04337 


90 


100 


13-66064 


13-82896 


13-95732 


14-05304 


14-12270 


1 100 



''4 
Hi 



(I2ib) 



INTEREST TABLES 



Value of an Annuity Yielding Interert on Capital at 7^ PER CENT., 
and Replacing Capital when Invested at 



Years 



I 

2 

3 
4 
5 

6 

7 
8 

9 

10 

II 

12 

13 

14 

15 

i6 

17 
i8 

19 

20 

21 
22 

23 
24 

25 

26 

27 
28 

29 

30 
31 

33 
34 
35 

36 
37 

39 
40 

45 
50 

60 
65 
70 

75 

80 

90 

100 



2 OX 
/o 



•93023 

1 75424 
2-48908 

3-14838 
374310 

4-28218 
477300 
5-22169 

5-63333 
6-01229 

6-36221 
6-68628 
6-98724 
7-26734 
7-52870 

777303 
8-00192 

8-21679 

8-41876 

8-60904 

8-78850 
8-95809 
9-1 1843 
9-27033 
9-41433 

9-55119 
9-68120 

9-80488 

9-92270 

003512 

0-14240 

0-24475 
0-34265 

0-43634 
0-52609 

0-61199 
0-69439 
0-77342 
0-84940 
0-92228 

I -24733 
I -51769 

I -74495 
I -93773 
2-10273 

2-24470 
2-36782 
2-47489 

2-65086 ; 
2-78723 i 



24% 



-93023 
I -75800 
2-49914 
3-16638 
3-77007 

4-31872 
4-81939 
527796 
5-69940 

6 08794 

6-44720 
6-78026 
7-08979 

7-37811 
7-64725 

7-89896 
8-13484 

8-35631 
8-56458 
8-76063 

8-94558 
9-12026 
9-28540 

9-44171 
9-68991 

9-73066 
9-86417 
9 -991 2 1 

IO-II2I4 

10-22735 

10-33709 

10-44190 
10-54196 

10-63751 

10-72904 

10-81654 
10-90025 
10-98056 

11-05754 
II-I3I39 

11-45909 

1 1 -72910 

1 1 95400 
12-14285 

1 2 30239 

12-43828 
12-55430 
12-65406 
12-81427 

1 2 93460 ; 



3% 



•93023 
1-76177 
2-50922 
3-18444 
3-79716 

4*35544 
4-86604 

5-33459 
5-76588 
6-16405 

6-53266 
6-87465 
7-19269 
7-48918 
7-76597 
8-02497 
8-26768 

8-49553 
8-70974 
8-91 139 

9-10150 
9-28100 

9*45054 
9-61104 
9-76296 

9-90707 
10-04379 
10-17366 
10-29707 
10-41461 

10-52643 
10-63298 
10-73468 
10-83165 
10-92431 

1 1 -01273 

11-09730 
11-17831 

11-25568 
1 1 -32990 

1 1 -65705 
1 1 -92378 
12.14344 
12-32544 
1247723 

12-60446 
12-71165 
12-80213 
12-94398 
13-04683 



O2 /o 



-93023 

1-76554 
2-51931 

3-20255 

3-82437 

4-39236 
491294 

5-39150 

5-83274 
6-24060 

6-61848 
6-96942 

7-29597 
7-60046 
7-88488 

8-15096 
8-40033 
8-63431 
8-85426 
9-06117 

9-25609 
9-44002 
9-61363 

9-77775 
9-93305 
1008014 
10-21952 
10-35165 
10-47724 
10-59648 

10-70985 
10-81759 
10-92037 
1 1 -01807 
11-11136 

1 1 -20022 
1 1 "28503 
11-36596 
11-44322 
11-51715 

1 1 -8409 1 
12-10156 
12-31330 
12-4861 1 
12-62818 

12-74519 
12-84208 
12-92240 

13-04495 
13-13042 



4% 



•93023 
I -76930 
2-52941 
3-22072 
3-85168 

4-42944 
4-96007 

5-44876 

5-89995 
6-31748 

6-70471 
7-06454 

7-39952 
7-71194 
8-00378 

8-27678 

8-53250 
8-77247 

8-99774 
9-20963 

9-4091 1 
9-59702 

9-77431 
9-94164 

10-09979 

10-24937 
10-39080 
10-52488 
10-65190 
10-77238 

10-88672 
10-99519 
1 1 -09829 
1 1 -19633 
1 1 -28961 

11-37825 
1 1 -46263 
11-54308 
11-61967 
1 1 -69276 

12-01028 
12-26242 
12-46401 
12-62594 
12-75673 

12-86256 
12-94850 
13-01846 
13-12198 
13-19122 



Years 



For explanation see p. 18. 



I 

2 

3 

4 

5 

6 

7 
8 

9 
10 

II 
12 

13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
23 
24 
25 
26 
27 
28 
29 

2P 

31 
32 

33 
34 
35 

36 
37 
38 

39 
40 

45 
50 

55 
60 

65 

70 

75 
80 

90 
100 



(I2IC) 



INTEREST TABLES 



Value of an Annuity Yielding Interest on Capital at 8 PER CENT., 
and Replacing Capital when invested at 



Years 

I 
' 2 

3 
4 
5 
6 

7 
8 

9 

ID 

II 
12 

13 
M 
15 
16 

17 
18 

19 
20 

21 
22 

23 
24 
25 
26 

27 
28 

29 
30 

31 
32 

33 
34 
35 

36 
37 
38 

39 
40 

45 
50 

60 

65 

70 

75 

80 

90 

100 



2% 

-92593 
1 73898 
2-45848 

309958 
3-67434 
4-19242 
4-66174 
5-08883 
5-47900 
5-83683 

6- 16606 
6-46998 

6-75137 
7-01252 

7-25558 

7-48223 

7 -69408 

7-89253 
8-07872 

8-25375 

8-41857 
8-57405 
8-72083 

8-85967 
8-991 1 1 

9-1 1585 
9-23421 

9-34667 
9-45367 
955566 

9-65288 

9-74554 
9-83410 

991877 

9-99980 

10-07729 
10-15156 
10-22275 
10-291 14 
10-35668 

10-64849 
10-89052 
10-09348 
10-26532 
11-41214 

11-53828 
11-64755 
1 1 -74246 
1 1 -89825 
12-01880 



2i% 



•92593 
I -74269 

2-46830 

3-1 1703 

3-70032 

4-22744 

4-70599 
5-14226 

5-54149 
5-9081 1 

6-24586 

6-55794 
6-84706 

7-11561 
7-36563 

7-59884 
7-81690 
8-02118 
8-21288 
8-39299 

8-56260 
8-72250 

8-87343 
9-01607 

9-15114 

9-27919 

9*40053 

9-51583 
9-62547 
9-72980 

9-82907 
9-92379 
0-01412 
0-10030 
0-18278 

0-26157 
0-33688 
0-40908 
0-47823 
0-54452 
0-8381 I 

1 -07935 
I -27981 

I -44780 

1 -58950 

1-71001 
1-81279 
I -90108 

2 -04268 
2-14890 



3% 



•92593 

I -74639 
2-47813 

3-13453 
372641 

4-26261 

4-75046 

5-19599 
5-60431 

5-97975 

6 32603 
6-64620 
694300 
7-21886 

7-47569 

771539 
7-93947 
8-14936 
8-34627 
8-53126 

870534 
8-86941 
902413 
9-17036 
9-30856 

943948 

56352 
68120 
79288 

89913 



2 



o 



O 



O'OOOIO 

09622 

0-18786 
0-27517 

0-35851 
0-43798 
0-51392 

0-58660 

0-65598 

0-72248 

I -01504 

1 -25290 

I -44833 
I -60995 

1-74453 

I -85719 

I -95200 
2-03196 
2-I57I7 

2-24785 



•92593 

1-75009 

2-48797 

3-15208 

3-75261 

4-29797 

4-79515 
5-24998 

5-66745 
6-05177- 

6-40648 

6-73473 
7-03918 

7-32220 

7-58581 

7-83177 
8-06172 
8-27698 
8-47889 
8-66844 

8-84666 

9-01453 
9-17271 

9-32201 

9-46307 

959647 
9-72271 
9-84223 

9-95570 

-06330 

0-16549 
0-26252 

035497 
044277 
0-52654 

0-60625 
0-68228 

0-75477 
0-82392 

0-89004 

I -17905 
I -41 no 

1-59918 

1-75240 

1-87818 

1 -98164 
2-06724 

2-13813 

2 -24620 
2-32149 



4% 



•92593 

i:;^5378 
2^49782 
3-16967 
377890 

4-33347 
4-84004 

5-30425 
573089 
6-12404 

6-48723 
6-82352 

7-13552 
7-42561 
7-79580 

7-94786 
818337 
8-40386 
861037 
8-80421 

8-98634 

9-15759 
9-31888 

9-47086 

9-61428 

974972 

9-87762 

999870 

10-11327 

10-22181 

10-32471 
10-42220 
10-51480 
10-60277 

10 68639 

10-76577 
10-84128 
10-91322 
10-98165 

1 1 -04692 

1 1 -32990 
11-55402 
11-73282 
1 1 -87620 
11-99185 

12-08532 
i2-i6ii6 
12-22285 
12-31406 
12-37501 



Years 



I 

2 

3 
4 
5 
6 

7 
8 

9 
10 

II 
12 

13 

»4 

15 

16 

17 
18 

19 
20 

21 
22 

23 
24 

25 

26 

27 
28 

29 

30 

31 
32 
33 
34 
35 

36 
37 
38 

39 
40 

45 
50 

55 
60 

65 

70 

75 
80 

90 

100 



(I2id) 



INTEREST TABLES 



For explanation see p. i8. 



(I2ie) 



Value of an Annuity Yielding Interest on Capital at 9 PEE CENT 


•» 


Years 


and Eeplacing Capital when Invested at 




2% 


2i% 
•91743 


3% 


3i% 


4% 


Years 


I 


•91743 


•91743 


•91743 


-91743 


I 


2 


1 70926 


1-71284 


1-71641 


1 71999 


1-72356 


2 


3 


2-39949 1 


2-40884 


2-41820 


2-42757 


2-43695 


3 


4 


3-00640 


3 02281 


3-03926 


3*05576 


3-07229 


4 


5 


3-54411 


3-56828 


3-59253 


3-61689 


3-64130 


5 


6 


4-02372 


4-05597 


408834 


4-12086 


4^15348 


6 


7 


4-45411 


4-49448 


4-53502 


4-57574 


4-61659 


7 


8 


4-84240 


4 89076 


4-93935 


4-98810 


5-03707 


8 


9 


5-19440 


5-25053 


5-30690 


5-36348 


5-42026 


9 


10 


5-51493 


5-57852 


5-64235 


5-70643 


5-77064 


10 


11 


5-80794 


5-87869 


5-94965 


6-02076 


6-09203 


II 


12 


607681 


6-15434 


6-23201 


6-30979 


6-38765 


12 


13 


6-32439 


640828 


6-49224 


6-57626 


6-66027 


13 


14 


655299 


6-64293 


6-73283 


6-82263 


6-91233 


M 


15 


6-76476 


6-86031 


6-95570 


7-05094 


7-14587 


15 


16 


6-96136 


7-06220 


7-16276 


7 -26296 


7.36269 


16 


17 


7-14439 


7-25016 


7-35548 


7 -46029 


7-56435 


^l 


18 


7-31518 


7-42556 


7-53529 


7-64427 


7-75236 


18 


19 


7-47485 


7-58956 


7-70333 


7-81616 


7-92776 


19 


20 


7-62445 


7-743" 


7-86065 


7-97696 


8-09179 


20 


21 


7-76488 


7-88724 


8-00820 


8-12764 


8-24538 


21 


22 


7-89696 


8-02272 


8-14684 


8-2691 1 


8-38933 


22 


23 


8-02130 


8-15023 


8-27719 


8-40202 


8-52450 


23 


24 


8-13862 


8-27041 


8-40004 


8-5271 1 


8 65 I 49 


24 


25 


8-24940 


8-38392 


8-51586 


8-64499 


8-77101 


25 


26 


8-35429 


8-49127 


8-62530 


875618 


8-88360 


26 


27 


845359 


8-59276 


872875 


8-861 16 


898965 


27 


28 


8*54774 


8-68900 


8-82667 


896033 


9-08983 


28 


29 


8-63715 


8-78033 


8-91941 


9 05428 


9-18442 


29 


30 


8-72220 


886706 


9-00747 


9-14319 


9-27386 


30 


31 


8-80313 


8-94943 


9-09099 


9-22748 


935848 


31 


32 


8-88013 


9-02788 


9-17036 


9-30735 


9-43850 


32 


33 


8-95359 


9-10258 


9-24590 


9-38333 


9-51439 


33 


34 


902372 


9-17372 


9-31775 


9-45537 . 


958635 


34 


35 


9-09074 


9-24172 


9-38623 


9-52399 


9 65465 


35 


36 


9-15474 


930657 


9-45144 


1 9-58917 


9-71940 


36 




9-21600 


9-36847 


9-51366 


9-65134 


9-78091 


37 


38 


9-27463 


9-42774 


9-57313 


9-71044 


9-83942 


38 


39 


9-33088 


9-48443 


9-62983 


' 976677 


9-89501 


39 


40 


9-38474 


9-53871 


9-68410 


982058 


994797 


40 


45 


9-62371 


9-77833 


9-92211 


1005500 


10-17687 


45 


50 


9-82096 


9-97427 


10-11470 


10-24233 


10-35733 


50 


55 


9-98572 


10-13644 


10-27232 


10-39361 


10-50078 


^ 


60 


10-12474 


10-27190 


10-40226 


10-51646 


10-61549 


65 


10-24317 


10-38583 


10-51016 


10-61706 


10-70778 


6s. 


70 


10-34468 


10-48251 


10-60029 


10-69965 


10-78225 


70 


75 


10-43242 


. 10-56479 


10-67600 


10-76786 


10-84258 


U 


80 


10-50851 


10-63536 


10-73975 


10-82427 


10-89159 


90 


10-63309 


1074830 


10-83940 


10-91012 


10-96395 


90 


100 


10-72927 


10-83283 


10-91 143 


10-96984 


1 1 -01225 


100 



INTEREST TABLES 



(1 2 If) 



Value of an Annuity Yielding Interest on Capital at 10 FES CENT., 






and Beplacing Capital when Invested 


at 


- 


Years ' 


2% 


2i% 


3% 


3i% 


4% 


Yean 


I 


•90909 


-90909 


•90909 


•90909 


-90909 


I 


2 


I -68053 


I 68399 


1-68745 


1-69090 


I 69435 


2 


3 


2-34326 


2-35218 


2-361 1 1 


2-37004 


2-37898 


3 


4 


2-91865 


2-93412 


2-94962 


2-96515 


2-98071 


4 


5 


3-42281 


3-44534 


3-46795 


3-49063 


3-51337 


5 


6 


3-86808 


389788 


3-92776 


3-95776 


3-98785 


6 


I 


4-26417 


4-301 17 


4-33828 


4-37533 


4-41287 


7 


4-61875 


4-66272 


4-70686 


475111 


4-79552 


8 


9 


4-93791 


4-98860 


5-03946 


5-09046 


5-I4I57 


9 


10 


5-22668 


5-28377 


5-34100 


5-39837 


5-45580 


10 


II 


5-48914 


5-55229 


5-61555 


5-67885 


5-74221 


II 


12 


5-72869 


5-79754 


5-86641 


5-93528 


600413 


12 


13 


5-94820 


6-02236 


6-09645 


6-17048 


6 24438 


13 


14 


6-14999 


6-22913 


6-30811 


6-38688 


6-46542 


14 


15 


6-33613 


6-41989 


6-50335 


6-58653 


6-66929 


15 


16 


6-50830 


6-59635 


6 68400 


6-77117 


6-85777 


16 


17 


6-66800 


6-76005 


6-85152 


6-94237 


7-03240 


'2 


18 


6-81654 


6-91228 


7-00727 


7-10142 


7-19461 


18 


19 


6-95497 


1 7-05418 


7-15236 


7-24953 


7-34543 


19 


20 


7-08431 


1 7-18664 


7-28778 


7-38765 


7-48604 


2C 


21 


7-20539 


i 7-31064 


7-41444 


7-51671 


7-61731 


21 


22 


7-31898 


, 7-42688 


7-53313 


7-63755 


7-74000 


22 


23 


7-42567 


7-53602 


7 64444 


7-75080 


7-85491 


23 


24 


7-52610 


7-63866 


7-74911 


7-85713 


7-96261 


24 


25 


7-62073 


773539 


7-84757 


7-95710 


8-06374 


25 


26 


7-71016 


7-82669 


7-94042 


8-05121 


8-15880 


26 


27 


779466 


! 791283 


8-02800 


8-13988 


8-24817 


27 


28 


7-87464 


' 7-99437 


8-1 1076 


822348 


8-33243 


28 


29 


7-95045 


8-07161 


8-18900 


8-30254 


8-41184 


29 


30 


8-02246 


8-1-1485 


8-26317 


8-37724 


8-48680 


30 


31 


8-09088 


i 8-21429 


8-33340 


8-44794 


8-55761 


31 


32 


8-15587 


8-28034 


8-40004 


8-51484 


8-624^8 


32 


33 


8-21781 


1 8-34314 


8-46339 


857839 


8-68780 


33 


34 


8-27684 


' 840287 


852355 


8-63856 


8-74776 


34 


35 


833320 


8-45988 


8-58082 


8-69580 


8-80460 


35 


35 


8-38694 


8-51419 


8-63528 


875013 


8-85842 


36 


37 


8-43832 


856597 


8-68719 


8-80181 


8 90948 


37 


38 


8-48745 


8-61549 


873675 


8-85097 


895801 


38 


39 


8-53454 


8-66281 


8-78395 


8-89775 


9-00406 


39 


40 


8-57957 


8-70807 


8-82909 


8-94238 


9-04787 


40 


45 


8-77886 


8-90734 


9-02649 


9-13634 


9-23685 


45 


50 


8-94270 


9-06964 


9-18561 


9-29074 


9-38526 


SO 


55 


9-07909 


9-20353 


9-31541. 


9-41504 


9-50290 


§5 


60 


9-19388 


9-31506 


9-42214 


9-51574 


9-59674 


60 


65 


9-29144 


9-40867 


9-51059 


9-59803 


9-6721 1 


65 


70 


9-37488 


: 9-48794 


9-58433 


9-66548 


973283 


70 


75 


9-44688 


1 9-55530 


9-64618 


9-721 10 


9-78196 


75 


80 


9-50923 


9-61298 


I 9-69819 


9-76706 


9-821:83 


80 


90 


q-61113 


i 9-70516 


9-77938 


9-83691 


9-88064 


90 


100 


9-68964 


977402 


983797 


9-88543 


9-91985 


100 



INTEBEST TABLES 



-— 1 < 

NOMINAL AND EFFECTIVE BATES OF INTEREST 


Nominal Rate 
(Annual) 


EflEective Annual Rate when 
Interest is Convertible 


Nominal Rate 
(Annual) 


Half-yearly 


Quarterly 


Monthly 


•01 
•0125 
015 
•0175 

•02 
•0225 
•025 
0275 

03 
-0325 

035 
0375 

04 
•045 

:S 

•09 
•10 


•010025 
•012539 
•015056 
•017577 

•020100 
•022627 
•025156 
•027689 

•030225 
-032764 
-035306 
•037852 

-040400 
-045506 
•050625 
•060900 

•071225 
•081600 
•092025 
•102500 


•010038 
•012559 
•015085 
•01 76 1 5 

•0201 5 1 

•022691 

•025235 

[ -027785 

-030339 
•032898 
-035462 
-038031 

-040604 
•045765 

•050945 
•061364 

•071859 
-082432 
-093083 
-IO3813 


•010046 
•012572 
•015104 
•01 764 1 

•020184 
•022733 
•025288 
•027849 

•030416 
•032989 

•035567 
•038151 

•040742 
•045940 
•051 162 
•061678 

•072290 
•o83o<x) 
•093807 
•104713 


•01 
•0125 
015 
-0175 

02 

-0225 
•025 
•0275 

•03 

•0325 

•035 

•0375 

•04 

•045 

09 
-10 


Effective Rate 
(Annual) 


Nominal Annual Rate when 
Interest is Convertible 


• 
Effective Rate 
(Annual) 


Half-yearly 


Quarterly 


Monthly 


01 

-0125 

-015 

0175 

•02 
•0225 
025 
•0275 

03 
-0325 

•035 
•0375 

•045 

•09 
•10 


•009975 
•01 246 1 

•014944 

•017424 

•01 990 1 
•022375 
•024846 
•027313 

•029778 
-032240 
-034699 

•037155 

•039608 
•044504 
•049390 
•059126 

•068816 
•078461 
•088061 
-097618 


•009963 
•012442 
•OI4916 
•017386 

•019852 
022313 
•024769 
027221 

•029668 
•0321 1 1 

•034550 
•036984 

•039414 
•044260 
•049089 
•058695 

•068234 
-077706 
-0871 13 

•096455 


•009954 
•012429 
•014898 
■O17361 

•01 98 1 9 
•022271 
•024718 
•027159 

•029595 
•032026 

•034451 
•036871 

•039285 
•044098 
•048889 
•05841 1 

•067850 
•077208 
•086488 
•095690 


01 

0125 
-015 
0175 

-02 

•0225 

•025 

•0275 

-03 

0325 

•035 

0375 

•04 

•045 

•09 
-10 



For explanation see pp. 18, 19 



(122) 



INTEREST TABLES 



CoMtant Factors for Converting Values and Amounts of Yearly Annuities 
into those of Annuities for One Year Payable 
HALF-YEABLY, QUARTEELY, AND MONTHLY 


Yearly 
Rates 


Half-yearly 
Factors 


Quarterly 
Factors 


Monthly 
Factors 


Yearly 
Rates 


-01 
-0125 
•015 
-0x75 

-02 
•0225 
•025 
•0275 

•03 
•0325 

035 
•0375 

•04 
•045 
•05 
06 

09 
•10 


I -00249 
I -00312 
I -00374 
I -00436 

roo497 
I -00559 
I 0062 I 
roo683 

1 •007^1 /^ 
I 00806 
I •00867 
I 00929 

I 00990 
I •on 13 
I 01235 • 
I -01478 

I^0I720 

I 01961 
I 02201 
I -02440 


1-00377 
1-00469 
I 00563 
i^oo656 

I ^00747 
i^oo84i 
I 00933 
1-01025 

I -01 1 18 
1-01211 
I -01303 
I -01395 

I -01488 
I -01672 
I -01856 
I 02223 

I ^02588 
I 02952 

1-03314 
I -03676 


1-00460 
I -00572 
1-00685 
1-00799 

I -00914 
I -01027 
I -01 142 
1-01254 

I -01368 
I -01482 
I 01594 
I •o 1 707 

I 01820 
I ^02046 
1^0227 1 
1^02721 

I 03169 
I 03616 
I 0406 I 
1^04504 


•01 
-0125 
•015 
0175 

•02 

0225 

025 

0275 

03 
0325 

035 
0375 

04 
045 

■^ 

07 
•08 

09 
-10 



Value of Annuity for Twenty-five Years at 4 PEE CENT. 


Annuity Payable 


Interest Convertible 


Yearly 


Half-yearly 


Quarterly 


Monthly 


Yearly . 
Half-yearly . 
Quarterly 
Monthly 


1 5^62208 
15-77677 
15-85449 
15^90645 


15-55624 
1571180 
15^78998 
15^84223 


15^52282 
15^67883 
15^75722 
15-80963 


15*50035 
15^65665 

i5*7352o 
15-78771 



The Present Value of 1 due a Year hence (v), and the Discount on 1 for 
One Year {d) corresponding to Various Bates of Interest (i) 


i 


-R 


d=l-v 


t 


"f^ 


d=l-v 


•01 
•0125 
•015 
•0175 

•02 

•0225 

•025 

•0275 


•990099010 

•987654321 
•985221675 
•982800983 

•980392157 
•977995 1 10 

-975609756 
-973236010 


•009900990 
•012345679 
•014778325 
•017199017 

•019607843 
•022004890 
•024390244 
•026763990 


•03 

•035 
•04 

-045 

•05 
•06 

•08 

•10 


•970873786 
•966183575 
•961538462 

-956937799 

•952380952 
•943396226 
-925925926 
•909090909 


•629126214 
-033816425 
•038461538 
•043062201 

•047619048 
•056603774 

•074074074 
•090909091 



For explanation see pp. 19, 20 



(123) 



a 



INTEREST TABLES 









■ i 



The Number of Years in which an Amount is doubled by Aecnmnlation at 
SIMPLE AND COMPOUND INTEKEST 



Rate per Cent. 



At Simple Interest 



I 

9 

10 



loo-oo 

80 "(X) 

66-67 

57-14 

50-00 

44-44 
40-00 

3636 

33 -33 
30-77 
28-57 

26-67 

25-00 
22-22 
20-00 
16-67 

14-29 
12-50 
ii'ii 
1000 



At Oompound Interest 

69-66 
55-80 
46-56 

39-95 

35-00 

31-15 
28-07 

25-55 

2345 
21-67 

20-15 

18-83 

17-67 

15-75 
14-21 

11-90 

10-24 
9-01 
8-04 
7-27 



Rate per Cent. 



I 

9 
10 



DECIMALS OF ONE TEAR 



Weeks 



I 
2 

3 
4 

5 
6 

7 
8 

9 
10 
II 
12 

13 

14 

15 
16 

17 
18 

19 
20 

21 
22 

23 

24 

25 

26 



Decimal of One Year 



-01 923 1 
-038462 
•057692 
•076923 

-096154 

-1 15385 
•I34615 
-153846 

-173077 
-192308 
-2 1 1 538 
-230769 

•250000 
-269231 
-288462 
•307692 

-326923 
•346154 

-365385 
-384615 

-403846 
-423077 
-442308 
•461538 
-480769 
-500000 



Weeks 



29 
30 
31 
32 

33 
34 
35 
36 

37 
38 

39 
40 

41 
42 
43 
44 

46 

47 
48 

49 
50 

51 
52 



Decimal of One Year 



-519231 
•538462 

-557692 
-576923 

•596154 
•615385 
•634615 
•653846 
-673077 
'692308 

-71 1538 
•730769 
•750000 
•769231 

•788462 
■807692 
•826923 
•846154 

•865385 
•884615 
-903846 
-923077 

•942308 

•961538 

-980709 

I -000000 



Months 



I 
2 

3 
4 

I 

7 

8 

9 
10 

II 

12 

Days 



Decimal of One Year 



IS 

90 
120 

z 

210 
240 

270 
300 
330 
365 



•083333 
•166667 

•250000 

•333333 

•416667 

•500000 

•583333 
•666667 

•750000 

•833333 
•916667 

I '000000 



Decimals of One Year 



•082192 
•164384 

•246575 
•328767 

•410959 

•493151 
•575342 

•657534 

-739726 

'821918 

•9041 10 

I '000000 



For explanation see p. 2 1 



(124) 



DECIMALS OF £1 



THE DECIMAL COERESPONDING TO EVERY FARTHING IN THE £ 



Pence 



O 
Ok 

of 

I 

li 

i^ 

If 

2 

2k 
^1 

3 
3k 
3h 
3f 

4 

4i 

4^ 

4f 

5 

5i 
5^ 
51 

6 
6^ 

h 
n 

8 

8f 

9 

9^ 

9h 

9f 

10 
loi 
io| 
10} 

II 
"i 
"I 
"I 



0^. 



'OOOOO 

'OOI04 
'00208 

•00313 

•00417 
•00521 
-00625 
-00729 

•00833 
•00938 

•01042 
•01 146 

•01250 

•01354 

•01458 

•01563 

•01667 
•OI77I 
-01875 
•01979 

•02083 

-02188 

•02292 

•02396 

•02500 
•02604 
•02708 
-02813 

•02917 
-0302 1 
•03125 
•03229 

•03333 
•03438 
•03542 
•03646 

•03750 
•03854 
•03958 
•04063 

•04167 
•04271 

•04375 
•04479 

•04583 
•04688 

•04792 

•04896 



\s. 



•05000 

•05104 

•05208 

•05313 

•05417 
•05521 

•05625 
•05729 

•05833 
-05938 

-06042 
-06146 

-06250 

•06354 

-06458 

-06563 

'06667 
'0677I 
•06875 
•06979 

•07083 

•07188 

•07292 

•07396 

•07500 
•07604 
•07708 

•07813 
•07917 

•08021 
•08125 
•08229 

•08333 
•08438 

•08542 
•08646 

•08750 
•08854 

•08958 

•09063 

•09167 
•09271 

•09375 
•09479 

•09583 
•09688 

•09792 
•09896 



2^. 



•lOOOO 

•IOI04 
•10208 

•I03I3 
•I04I7 

•I052I 
•10625 
•10729 

•10833 
•10938 
•I 1042 
•I 1 146 

•I 1250 

•"354 
•I 1458 

•I 1563 

•I 1667 
•11771 
•I 1875 
'1 1979 

•12083 
•12188 
•12292 
•12396 

•12500 
•12604 
•12708 
•12813 

•12917 
•13021 
•13125 
•13229 

•13333 
-13438 
•13542 
•13646 

•13750 
•13854 
•13958 
•14063 

•14167 
•14271 

-14375 
-14479- 

-14583 
•14688 

-14792 

-14896 



3^. 



-15000 
•15104 
-15208 

•15313 

•15417 
•15521 
-15625 
-15729 

•15833 
•15938 
•16042 
•16146 

•16250 

•16354 
•16458 

•16563 

•16667 
•16771 
•16875 
-16979 

•17083 
•17188 
•17292 
-17396 

-17500 
-17604 
-17708 
•17813 

-17917 
•1802 1 
•18125 
•18229 

•18333 
•18438 

•18542 

•18646 

•18750 
•18854 
•18958 
•19063 

•19167 
.19271 

-19375 
•19479 

-19583 
•19688 

•19792 

•19896 



4'. 



•20000 
•20104 
•20208 
•20313 

•20417 
•20521 
•20625 
•20729 

•20833 
•20938 
•21042 
•21 146 

•21250 

•21354 
•21458 

-21563 

-21667 
•21771 
•21875 
-21979 

-22083 
•22188 
•22292 
•22396 

•22500 
•22604 
•22708 
•22813 

•22917 
•23021 
•23125 
•23229 

•23333 
-23438 
•23542 
•23646 

•23750 

•23854 
•23958 
•24063 

'24167 
•24271 

•24375 
-24479 

•24583 
-24688 
-24792 
-24896 



Pence 



. 11 



For explanation see pp. 21-23 



o 

ok 
oh 



Ik 



2k 
2h 
2| 

3 
3k 

31 
31 



4k 
4k 
4l 

5 
5k 

^t 
51 

6 

6k 

6h 
6f 

7 
7k 
7k 
71 

8 

8i 

8^ 
8f 

9 
9k 
91 
91 

10 
loi 

lOi 
lOf 

II 

"i 

Ilk 
lit 



(125) 



O 2 



ft 






DECIMALS OF £1 



: H 



S ! 



THE DECIMAL C0EEE8P0NDIKG TO EVEKY FABTHINO IN THE £ 


Pence 


oh 

oi 


5s. 


6^. 


7s, 


Ss. 


9^. 


Pence 

1 


Oi 

of 


•25000 
•25104 
•25208 

•25313 


•30000 
•30104 
•30208 

•30313 


•35000 
•35104 
•35208 

•35313 


•40000 
•40104 
•40208 

•40313 


•45000 

•45104 
•45208 

•45313 


I 

11 


•25417 
■25521 

•25625 

•25729 


•30417 
•30521 
•30625 
•30729 


•35417 
•35521 
•35625 

•35729 


•40417 
•40521 
•40625 
•40729 


•45417 
•45521 
•45625 

•45729 


I 

li 

If 


2 
2| 


•25833 
•25938 
•26042 
•26146 


•30833 

•30938 
•31042 
•31 146 


•35833 
•35938 
•36042 
•36146 


•40833 
•40938 
•41042 
•41 146 


•45833 
•45938 
•46042 
•46146 


2 

2i 


3 
3k 

3h 
31 


•26250 

•26354 
•26458 
•26563 


•31250 

•31354 
•31458 
•31563 


•36250 

•36354 
•36458 
•36563 


•41250 

•41354 
•41458 

•41563 


•46250 

•46354 
•46458 
•46563 


3 

3^ 

31 


4 
4^ 


•26667 
•26771 
•26875 
•26979 


•31667 

•31771 
•31875 
•31979 


•36667 
•36771 

•36875 
•36979 


•41667 
•41771 

•41875 
•41979 


•46667 
•46771 

•46875 
•46979 


Ah 

41 


5 
Si 

51 


•27083 
•27188 
•27292 
•27396 


•32083 
•32188 
•32292 
•32396 


•37083 
•37188 
•37292 
•37396 


•42083 
•42188 
•42292 
•42396 


•47083 
•47188 
•47292 
•47396 


5 
5; 


6 
6i 

6.^ 


•27500 
•27604 
•27708 
•27813 


•32500 
•32604 
•32708 
•32813 


•37500 
•37604 
•37708 
•37813 


•42500 
•42604 
•42708 
•42813 


•47500 
•47604 
•47708 
•47813 


6 
^1 


7i 


•27917 
•28021 
•28125 
•28229 


•32917 
•33021 
•33125 
•33229 


•37917 
•38021 

•38125 

•38229 


•42917 
•43021 
•43125 
•43229 


•47917 
•48021 

•48125 
•48229 


n 
n 


8 

8^ 
8| 


•28333 

•28438 
•28542 
•28646 


•33333 
•33438 
•33542 
•33646 


•38333 
•38438 
•38542 
•38646 


•43333 
•43438 
•43542 
•43646 


•48333 
•48438 
•48542 
•48646 


8 
8i 

8r 

81 


9 
9i 
91 
91 


•28750 
•28854 
•28958 
•29063 


•33750 
•33854 
•33958 
•34063 


•38750 
•38854 
•38958 
•39063 


•43750 
•43854 
•43958 
•44063 


•48750 
•48854 

•48958 
•49063 


9 
9i 

9I 


10 

loi 
loi 

lOf 


•29167 
•29271 

•29375 
•29479 


•34167 
•34271 
•34375 
•34479 


•39167 
•39271 

•39375 
39479 


•44167 
•44271 
•44375 
•44479 


•49167 
•49271 

•49375 
•49479 


10 

lOi 

io| 
io| 


II 

"i 
iii 

llf 


•29583 
•29688 

•29792 

•29896 


•34583 
•34688 

•34792 
•34896 


•39583 
•39688 

•39792 
•39896 


•44583 
•44688 

•44792 

•44896 


•49583 
•49688 
•49792 

•49896 


II 

"i 

11^ 
llf 



For explanation see pp. 21-23 



(126) 



DECIMALS OF £1 



THE DECIMAL COBBESPONDIHO TO EVERT FAETHING IN THE £ 



Pence 



O 
0\ 

Ok 
of 

I 

li 

ih 
If 

2 

2\ 

2h 

2| 

3 
Z\ 

zh 

31 

4 
4i 

Ah 

4f 

5 
S\ 

Sh 
5! 

6 
6J 

6| 
7 

n 

71 

8 

8i 

8| 

9 
9i 

9t 
91 

10 

loi 

io| 

lOf 

II 

iii 
iih 
iif 



10^. 



•50000 
•50104 
•50208 

•50313 
•50417 

•50521 
•50625 
•50729 

•50833 
•50938 

•51042 

•5 1 146 

•51250 
•51354 
•51458 
•51563 

•51667 

•5I77I 
•51875 
•51979 

•52083 
•52188 

•52292 

•52396 
•52500 

•52604 
•52708 

•52813 

•52917 

•53021 

•53125 
.53229 

•53333 
•53438 
•53542 
•53646 

•53750 
•53854 
•53958 
•54063 

•54167 
•54271 
•54375 
•54479 

•54583 
•54688 

•54792 
•54896 



lis. 



•55000 
•55104 

•55208 

•55313 

•55417 
•55521 
•55625 

•55729 

•55833 
•55938 

•56042 

•56146 

•56250 

•56354 
•56458 

•56563 

•56667 

•56771 

•56875 

•56979 

•57083 
•57188 

•57292 

•57396 

•57500 
•57604 
•57708 
•57813 

•57917 

•58021 

•58125 
•58229 

•58333 
•58438 

•58542 
•58646 

•58750 

•58854 
•58958 

•59063 

•59167 
•59271 

•59375 
•59479 

•59583 
•59688 
•59792 
•59896 



12^^. 



•60000 
•60104 
•60208 
•60313 

•60417 
•60521 
•60625 
•60729 

•60833 
•60938 
•61042 
•61 146 

•61250 

•61354 
•61458 
•61563 

•61667 
•61771 
•61875 
•61979 

•62083 
•62188 
•62292 
•62396 

•62500 
•62604 
•62708 
•62813 

•62917 
•63021 
•63125 
•63229 

•63333 
•63438 
•63542 
•63646 

•63750 
•63854 
•63958 
•64063 

•64167 
•64271 

•64375 
■64479 

•64583 
•64688 
•64792 
•64896 



13?. 



•65000 
•65104 
•65208 

•65313 

•65417 
•65521 

•65625 

•65729 

•65833 
•65938 
•66042 

•66146 

•66250 

•66354 
•66458 
•66563 

•66667 
•66771 
•66875 
•66979 

•67083 
•67188 
•67292 
•67396 

•67500 
•67604 
•67708 
•67813 

•67917 
•68021 
•68125 
•68229 

•68333 
•68438 

•68542 

•68646 

•68750 
•68854 
•68958 
•69063 

•69167 
•69271 

•69375 
•69479 

•69583 
•69688 
•69792 
•69896 



14?. 



•70000 
•70104 
•70208 
•70313 

•70417 
•70521 
•70625 
•70729 

•70833 

•70938 
•71042 
•71 146 

•71250 

•71354 
•71458 
•71563 

•71667 
•71771 
'7iS7s 
•71979 

•72083 
•72188 
•72292 
•72396 

•72500 
•72604 
•72708 
•72813 

•72917 

•73021 

••73125 

•73229 

•73333 
•73438 
•73542 
•73646 

•73750 
•73854 
•73958 
•74063 

•74167 
•74271 
•74375 
•74479 

•74583 
•74688 

•74792 
•74896 



Pence 



O 

Ok 

Oh 

of 
I 

If 

2 

2k 

2h 

3 
3k 
3h 
31 

4 

4t 
Ah 
41 

5 
5k 

51 
51 

6 
6k 
6h 
6| 

7 
7k 

Ih 
71 

8 
8i 
8| 
8f 

9 
94 
9i 
9\ 

10 

loi 

10^ 

lOf 

II 

11^ 

"I 



(127) 



DECIMALS OF £1 



For explanation see pp. 21-23 



(128) 



THE DECIMAL COBRESPONDIHO TO EVERY FAETHIKO IN THE £ 


Pence 


15^. 

i 75000 

75104 
75208 

75313 


16^. 


17^ 


18^. 


Ids. 


Pence 


Ok 

oh 
of 



Oh 

of 


•80000 
•80104 
•80208 
•80313 


•85000 
•85104 
•85208 

•85313 


•90000 
■90104 
•90208 
•90313 


•95000 
•95104 
•95208 

•95313 


I 

If 


75417 

75521 
75625 

75729 


•80417 
•80521 
•80625 
•80729 


•85417 
•85521 
•85625 

•85729 


•90417 
•90521 
•90625 
•90729 


•95417 
•95521 
•95625 

•95729 


I 

li 

if 


2 

2I 


75833 
75938 
76042 
76146 


•80833 
•80938 
•81042 
•81 146 


•85833 
•85938 
•86042 
•86146 


•90833 

•90938 
•91042 
•91 146 


•95833 
•95938 
•96042 
•96146 


2 

2k 
2| 

2I 


31 


76250 

76354 
76458 
76563 


•81250 

•81354 
•81458 
•81563 


1 ^86250 

: ^86354 

i -86458 

•86563 


•91250 

•91354 
•91458 
•91563 


•96250 

•96354 
•96458 
•96563 


3 
3k 

3h 
31 


4 
4- 
4 
4} 


76667 
76771 
76875 
76979 


•81667 
•81771 

•81875 
•81979 


•86667 

•86771 
•86875 
•86979 


•91667 
•91771 

•91875 
•91979 


•96667 
•96771 
•96875 
•96979 


4 

i 

4^ 


5 
S 
5 
51 


77083 
77188 
77292 
77396 


•82083 
•82188 
•82292 
•82396 


•87083 
•87188 
•87292 
•87396 


•92083 
•92188 
•92292 
•92396 


•97083 
•97188 
•97292 
•97396 


Si 


6 
6f 


77500 
77604 
77708 

77813 


•82500 
•82604 
•82708 
•82813 


•87500 
•87604 
•87708 
•87813 


•92500 
•92604 
•92708 
•92813 


•97500 
•97604 
•97708 
•97813 


6 
6h 

6f 


7 

7i 

7§ 

71 


.77917 
78021 
78125 
78229 


•82917 
•83021 
•83125 
•83229 


•87917 
•88021 
•88125 
•88229 


•92917 
•93021 
•93125 
•93229 


•97917 
•98021 
•98125 
•98229 


7I 


8 
8f 


78333 
78438 
78542 
78646 


•83333 
•83438 
•83542 
•83646 


•88333 
•88438 
•88542 
•88646 


•93333 
•93438 
•93542 
•93646 


•98333 
•98438 
•98542 
•98646 


8 

8* 
8^ 
8| 


9 
9i 
91 
9«^ 


78750 

78854 
78958 
79063 


•83750 
•83854 
•83958 
•84063 


■88750 
•88854 
•88958 
•89063 


•93750 
•93854 
•93958 
•94063 


•98750 

•98854 
•98958 
•99063 


9 
9k 

9I 


10 
lOi 

io| 
lof 


79167 
79271 

79375 
79479 


•84167 
•84271 

•84375 
•84479 


•89167 
•89271 

•89375 
•89479 


•94167 
•94271 

•94375 
•94479 


•99167 
•99271 

•99375 
•99479 


10 
lOi 

io| 

lOii 


II 

"i 

in 
III 


79583 
79688 
79792 
79896 


•84583 
•84688 

•84792 

•84896 


•89583 
•89688 

•89792 

•89896 


•94583 
•9/1688 
.94792 
•94896 


•99583 
•99688 

•99792 

•99896 


II 

Ilf 



MORTALITY TABLES 

SHOWING THE 

EXPECTATION OF LIFE 

AND THE 

NUMBERS SURVIVING EACH YEAR 

ACCORDING TO VARIOUS MORTALITY TABLES 



'i 






ii 



For explanation see pp. 23-25 



1129) 



MORTALITY TABLES 



MORTALITY TABLES 



! 



Com- 
pleted 
Age 



O 

5 

10 

II 

12 

13 
14 

15 
i6 

17 
i8 

19 

20 
21 
22 

23 

24 

27 
28 

29 

30 
31 
32 
33 
34 

35 
36 

% 

39 
40 

41 
42 

43 
44 

46 

47 
48 

49 



THE EXPECTATION, OB AVERAGE DURATIOK, OF LIFE 



^'■,'^- CarUsle l<lH'^f^^« 



ampton 
Experience 

1780 



Years 
25-18 
40-84 

3978 
3914 
38-49 
37-83 
37-17 

36-51 

35-85 
35-20 

34-58 

33-99 

33-43 
32-90 

32-39 
31-88 

31-36 

30-85 

30-33 
29-82 

29-30 

28-79 

28 27 
27-76 
27-24 
26-72 
26-20 

25-68 
25-16 
2464 
24-12 
23-60 

23-08 
22-56 
22 04 

21-54 
21-03 

20-52 
20 -02 

19-51 
19-00 

18-49 



Experience 
1815 



Society's 
Experience 

1834 



Years 
38-72 
51-25 

48-82 
48-04 
47-27 

46-51 

4575 

45-00 
44-27 

43-57 
42-87 
42-17 

41-46 

40-75 
40-04 

39-31 
38-59 

37-86 

37-14 
36-41 

35-69 
35-00 

34-34 
33-68 

33-03 
32-36 
31-68 

31-00 
30-32 
29-64 
28 96 
28-28 

27-61 
26-97 

26-34 
25-71 
25-09 

24-46 
23-82 
23-17 
22-50 
21-81 



Years 



48-83 
48-02 
47-20 
46-40 
45-60 

44-81 
4404 

43-27 
42-52 

41-78 

41-06 

40-33 
39-60 
38-88 
38-16 

37-44 

3673 
36-02 

35-33 
34-65 

3398 
33-30 
32-64 
31-98 

31-32 

30-66 
30-01 

29-35 
28-70 

28-05 

27-40 
26-74 
26-07 
25-40 
24-75 
24-10 

23^44 
22-78 
22-12 
21-47 



' Seventeen 

Offices' ' 
Experience 

1843 



Years 



48-36 
47-68 
4701 

46-33 
45-64 

4496 
44-27 
43-58 
42-88 
42-19 

41-49 

40-79. 

40-09 

39-39 
38-68 

3798 

37-27 
36-56 

35-86 
35-15 

34-43 
3372 
33-01 
32-30 
31-58 

30-87 

30-15 
29-44 

28-72 

28-00 

27-28 
26-56 
25-84 
25-12 
24-40 

2369 
22-97 
22-27 
21-56 
20-87 



English 

Experience 

No. 3 (Males) 



1864 



Years 

39-91 
49-71 

47-05 
46-31 
45-54 
44-76 

43-97 

43-18 
42-40 
41-64 
40-90 
40-17 

39-48 
38-80 

38-13 
37-46 

36-79 

36-12 

35-44 

3477 
34-10 

33-43 

3276 
32 09 
31-42 

30-74 
30-07 

29-40 
28-73 
28-06 

27-39 
26-72 

26 06 
25-39 

2473 
2407 

23-41 
22-76 

22-11 
21-46 
20-82 
20*17 



Actuaries' Hm. 

(Healthy Males) 

Experience 

1869 



Years 



50-291 
49-536 
48733 
47-893 
47-032 

46-161 
45-292 

44-438 
43-609 
42-817 

42-061 
41-326 
40-603 

39-879 
39-147 

38-405 
37-658 
36-908 
36-162 

35-419 

34-681 

33946 

33*213 
32-481 

31-748 

31-016 
30 286 
29-560 
28838 
28-118 

27-399 
26-679 

25-956 

25-233 
24-511 

23-792 
23-079 
22-375 
21-679 
20-989 



Com- 
pleted 
Age 





5 

10 
II 
12 

13 
14 

\t 

17 
18 

19 

20 
21 
22 

23 
24 

25 

26 

27 
28 
29 

30 
31 
32 
33 
34 

35 
36 
37 

39 

40 

41 
42 

43 
44 

45 
46 

47 
48 

49 



For explanation see pp. 23-25 



THE EXPECTATION, OE AVESAOE DURATION, OF LIFE 



Com- 
pleted 
Age 



57 
58 

59 
60 
61 
62 

64 

65 
66 

67 
68 

69 

70 

71 
72 
73 
74 

'4 

77 
78 
79 
8e 
81 
82 

83 
84 

87 

88 
89 
90 
91 
92 

93 
94 

95 
96 

97 
98 

99 



North- 
ampton 
Experience 

1780 



Years 

7*99 
7-50 

7 •02 

6-54 
6-o6 

5-58 
5-10 

463 

4-15 
3-68 

3*21 

275 
2-28 

I -81 
1-35 
0-88 
0-42 
9-96 
9-50 
9-05 

8 60 

8-17 

7-74 

7-33 
6-92 

6-54 
6-i8 

5-83 
5-48 

5-11 

4-75 
4-41 
4-09 
3-80 

3-58 

337 
3*19 
3'Oi 
2-86 
2-66 

2-41 
2-09 

175 
1-37 
1-05 

75 
•50 



Carlisle 
Experience 

181S 



Years 
2I*II 
20-39 
19-68 

18-97 
18-28 

17-58 
16-89 
l6-2I 

15-55 
14-92 

14-34 
13-82 

13-31 
I2-8I 

12*30 

1 1 79 
II 27 

IO-7S 

1023 

970 

9-i8 
865 
8-i6 
7-72 
7-33 
7-01 
6-69 
6-40 

6*12 

5-80 

5-51 
5-21 

4*93 
4-65 
4*39 

4*12 

3-90 

371 
3-59 
3*47 

3-28 
3-26 

3-37 
3-48 
3-53 

3'53 
3-46 
3-28 
3-07 
277 



Equitable 

Society's 

Experience 

1834 



Seventeen 

Offices' • 

Experience 

1843 



Years 
20*83 
20-20 

19-59 
19-00 

18-43 

17-85 
17*28 
16*71 

i6-is 
1560 

15-06 

14-51 
13-96 
13-42 
12-88 

12*35 

11-83 
11*32 
10-82 
10-32 

9-84 
9.36 

8*88 

8*42 

7*97 

752 

7-08 

6-64 

6*20 

5*78 
5-38 

5-00 

4*63 
4-30 

4-00 

3-73 
3-50 

3-31 

3*11 
2-91 

2-65 
2-36 
2-03 
1-70 
1-31 

1-05 

75 
•50 



English 

Experience 

No. 3 (Males) 



^i3P) 



Years 
20*18 
19-50 
18*82 

i8*i6 

17-50 

i6*86 
16*22 

15*59 
14-97 
14-37 

13-77 
13*18 

12-61 

12*05 

11*51 

10*97 

10*46 

9*96 

9*47 
9*00 

8-54 
8*10 

7-67 
7*26 
6*86 

6*48 
6*11 
5-76 
5*42 
5-09 

4-78 
448 
4*18 

3-90 
3*63 

3-36 
3-10 
2*84 

2-59 
2-35 
2*11 

1*89 
1*67 

1*47 
1*28 

1*12 

-99 
-89 

75 
•50 

(131) 



Actuaries' Hm. 

(Healthy Males) 

Experience 



1864 



Years 

19-54 
18-90 

18-28 

17-67 

17-06 

16-45 
15-86 

15*26 

14-68 

14*10 

13-53 
12*96 

12-41 

11*87 

11-34 

10-82 

10-32 

9-83 
9-36 
8-90 

8-45 
803 

7-62 

7-22 

6-85 

6*49 
6*15 
5-82 

5-51 
5-21 

4-93 
4-66 

4-41 

4-17 

3-95 

373 
3-53 
3-34 
3-16 

3-00 

2-84 
2-69 

2-55 
2-41 
2-29 

2-17 
2-06 

1-95 
1*85 
1*76 



1869 



Years 
20-306 
19-627 

18-951 
18-281 
17-618 

16-962 
16*316 

15-679 
15*052 

14-435 

13-830 

13-237 

12-659 

1 2 095 

11-547 

11-012 

10-489 

9-977 

9-475 
8-980 

8-495 
8-026 

7-575 
7*148 

6-749 

6*376 
6*017 

5-674 
5-344 
5-025 



Com- 
pleted 
Age 



57 
58 
59 
60 
61 
62 

67 
68 

69 

70 
71 
72 
73 
74 

75 
76 

77 
78 
79 



4719 


80 


4-433 


81 


4-171 


82 


3-930 


83 


3713 


84 


3-5" 


55 


3-310 


86 


3*ioi 


87 


2-884 - 


88 


2-634 


89 


2-357 


90 


2-077 


91 


1-795 


92 


1*496 


93 


1*204 


94 


•930 


95 


•684 


96 


-500 


97 


• • • 


98 


• •• 


99 



ill 

M 



Ji 



MORTALITY TABLES 



MORTALITY TABLES 



EHGLISH IIFE TABLE, No. 3 



Age at 

Beginning 

of Year 



O 
I 

2 

3 

4 

5 
6 

7 
8 

9 

10 

II 

12 

13 

14 

1§ 

17 
i8 

19 

20 
21 
22 

23 
24 

2K 



27 
28 

29 

30 
31 
32 
33 
34 

36 



39 

40 
41 

42 
43 
44 

46 

48 
49 



Number Living 

at 

Beginning of Year 



Number 

Dying during 

the Year 



1,000,000 

850,507 
796,827 

768,589 

750,133 

736,818 

726,919 

719,151 
712,592 

707,134 

702,509 
698,481 
694,844 

691,413 
688,031 

684,563 
680,894 

676,937 
672,620 

667,900 

662,750 
657,167 
651,499 
645,751 
639,931 

634,045 
628,095 

622,086 

616,021 

609,900 

603,724 

597,493 
591,206 

584,863 
578,459 

571,993 
565,460 

558,859 
552,181 

545,425 

538,584 
531.653 

524,626 

517,499 
510,263 

502,915 
495,448 
487,856 
480,134 
472,277 



149,493 
53.680 

28,238 

18,456 

13,315 

9,899 
7,768 

6,559 
5,458 
4,625 

4,028 
3,637 

3,431 
3,382 
3,468 

3*669 
3,957 

4,317 
4,720 

5,150 

5,583 
5,668 

5,748 
5,820 
5,886 

5,950 
6,009 
6,065 
6,121 
6,176 

6,231 
6,287 

6,343 
6,404 

6,466 

6,533 
6,601 

6,678 

6,756 
6,841 

6,931 
7,027 

7,127 
7,236 
7,348 

7,467 
7,592 
7,722 

7,857 
7,997 



Number Living at Beginning 
of Year 



Males 



511,745 
428,026 

400,505 

386,290 

377,077 

370,358 

365,325 
361,372 
358,062 
355,328 

353,031 
351,048 
349,272 
347,606 

345,969 

344,290 

342,509 
340,581 

338,469 
336,149 
333,608 
330,844 
328,043 
325,207 
322,339 

319,442 
316,516 

313,562 
310,581 
307,572 

304,534 
301,466 
298,366 
295,232 
292,061 

288,850 
285,596 
282,296 
278,944 

275,538 

272,073 

268,544 

264,948 

261,280 

257,534 

253,708 

249,796 

245,795 
241,700 

237,508 



Females 



488,255 
422,481 
396,322 
382,299 
373,056 
366,460 
361,594 

357,779 
354,530 
351,806 

349,478 

347,433 
345,572 
343,807 
342,062 

340,273 

338,385 
336,356 
334,151 
331,751 

329, 142 
326,323 

323,456 
320,544 

317,592 

314,603 

311,579 
308,524 

305,440 
302,328 

299,190 
296,027 
292,840 
289,631 
286,398 

283,143 
279,864 

276,563 

273,237 
269,887 

266,511 
263,109 
259,678 
256,219 
252,729 

249,207 
245,652 
242,061 

238,434 
234,769 



Age at 

Beginning 

of Year 



O 

I 
2 

3 

4 

5 
6 

7 
8 

9 

10 

II 

12 
13 
14 

IS 
16 

17 
18 

19 

20 

21 

22 

23 
24 

26 



29 

31 
32 
33 
34 



37 
38 
39 
40 

41 
42 
43 
44 

49 



For explanation see pp. 23-25 



(132) 



ENGLISH LIFE 


TABLE, No. 


3 




Age at 


Number Living 


Number 


Number Living 


at Beginning j 


Age at 


Beginning 
of Year 


at 
Beginning of Year 


Dying during 
the Year 


01 Xt%ir 1 


Beginning 
of Year 


Males 


Females 


50 


464,280 


8,141 


233,216 


231,064 


50 


51 


456,139 


8,414 


228,821 


227,318 


51 


52 


447,725 


8,590 


224,195 


223,530 


52 


53 


439,135 


8,761 


219,437 


219,698 


53 


54 


430,374 


9,259 


214,552 


215,822 


54 


55 


421,115 


9,583 


209,539 


211,576 


55 


56 


411,532 


9,909 


204,395 


207,137 


56 


57 


401,623 


10,245 


199,114 


202,509 


57 


58 


391,378 


10,593 


193,686 


197,692 


58 


59 


380,785 


10,958 


188,102 


192,683 


59 


60 


369,827 


11,338 


182,350 


187,477 


60 


61 


358,489 


11,737 


176,421 


182,068 


61 


62 


346,752 


12,149 


170,303 


176,449 


62 


63 


334,603 


12,572 


163,989 


170,614 


63 


64 


322,031 


13,002 


157,474 


164,557 


64 


^A 


309,029 


13,430 


150,754 


158,275 


65 


66 


295,599 


13,846 


143,833 


151,766 


66 


67 


281,753 


14,244 


136,718 


145,035 


67 


68 


267,509 


14,607 


129,421 


138,088 


68 


69 


252,902 


14,925 


121,963 


130,939 


69 


70 


237,977 


15,184 


114,370 


123,607 


70 


71 


222,793 


15,369 


106,675 


116,118 


71 


72 


207,424 


15,468 


98,919 


108,505 


72 


73 


191,956 


15,469 


91,149 


100,807 


73 


74 


176,487 


15,363 


83,416 


93,071 


74 


75 


161,124 


15,136 


75,777 


85,347 


75 


76 


145,988 


14,789 


68,294 


77,694 


76 


77 


131,199 


14,319 


61,026 


70,173 


77 


78 


116,880 


13,726 


54,036 


62,844 


78 


79 


103,154 


13,021 


47,381 


55,773 


79 


80 


90,133 


12,214 


41,115 


49,018 


80 


81 


77,919 


11,320 


35,283 


42,636 


81 


82 


66,599 


10,358 


29,922 


36,677 


82 


83 


56,241 


9,352 


25,060 


31,181 


83 


84 


46,889 


8,324 


20,7 J ' 


26,178 


84 


!§ 


38,565 


7,300 


16,877 


21,688 


85 


86 


31,265 


6,298 


13,549 


17,716 


86 


ll 


24,967 


5,346 


10,709 


14,258 


87 


88 


19,621 


4,459 


8,325 


11,296 


88 


89 


15,162 


3,653 


6,360 


8,802 


89 


90 


11,509 


2,933 


4,770 


6,739 


90 


91 


8,576 


2,310 


3,510 


5,066 


91 


92 


6,266 


1,781 


2,531 


3,735 


92 


93 


4,485 


1,343 


1,787 


2,698 


93 


94 


3,142 


989 


1,234 


1,908 


94 


95 


2,153 


713 


833 


1,320 


95 


96 


1,440 


500 


548 


892 


96 


^2 


940 


342 


352 


588 


97 


98 


598 


228 


220 


378 


98 


99 


• • • 


370 


• • • 


... 


99 



''1 

41 



(133) 



MORTALITY TABLES 



MORTALITY TABLES 



I 



I 



1 



Age at 
Begin- 
ning 
of 
Year 



10 

II 
12 

13 
14 

15 
i6 

\l 

20 
21 
22 

23 

24 

2K 



27 
28 

29 

30 
31 
32 

33 

34 

35 
36 
37 
38 
39 

40 

41 
42 
43 
44 



IK8TITT7TE OF ACTTTAEIES MORTALITY TABLE 

Healthy Males (Hm.) 



Number Living 

at Beginning 

of Year 



ICX5,000 

99,510 
99,113 
98,784 
98,496 

98,224 

97>942 
97,624 

97,245 
96,779 

96,223 
95,614 
94,971 
94,321 
93,683 

93,061 
92,444 
91,826 
91,192 
90,538 

89,865 
89,171 
88,465 

87,748 
87,021 

86,281 

85,524 

84,745 

83,943 
83,122 

82,284 
81,436 
80,582 
79,717 

77,919 
76,969 



^Z 


75,973 


48 


74,932 


49 


73,850 


50 


72,726 


51 


71,566 


52 


70,373 


53 


69,138 


54 


67,852 



Number 

Dying 

during 

the 

Year 



490 
397 

329 

288 

272 

282 

318 

379 
466 

556 
609 

643 
650 

638 

622 

617 
618 
634 
654 
673 

694 
706 

717 
727 
740 

757 
779 
802 

821 
838 

848 

854 
865 
887 
911^ 

950 
996 

1,041 

1,082 

1,124 

1,160 

1,193 
1,235 

1,286 
1,339 



Probable Number out of every 100 
Alive at the Beginning of a Year 



who will Survive 
the Year 



4 

99*5100 
99 6010 
99 -668 1 
997085 
997238 

997129 

996753 
99-6118 

99*5208 
99-4255 

99-3671 
993275 
99-3156 
993236 

99-3361 

99-3370 

99-3315 
993096 
99-2828 
992567 

992277 
99-2083 

99*1895 
99*1715 
99*1496 

99*1226 
99-0891 
990536 

99 "0220 
98 9918 

98-9694 

98*9513 
98-9266 

98-8873 

98-8444 

98-7808 
98-7060 
98-6298 
985560 
98 4780 

98-4050 
98*3330 

98*2451 
98-1400 
98-0266 



For explanation see pp. 23-25 



who will Die 
during the Year 



•4900 
.3990 

*33i9 
•2915 

•2762 

•2871 

•3247 
•3882 

•4792 

•5745 

•6329 
-6725 
-6844 
-6764 
•6639 

•6630 
•6685 
-6904 
7172 
•7433 

•7723 
•7917 

•8105 

•8285 

-8504 

-8774 
-9109 

-9464 

-9780 

1-0082 

1-0306 
I -0487 

I -0734 

I'II27 

I ''556 

1-2192 
I 2940 
I -3702 
1*4440 
I -5220 

1-5950 
1-6670 

17549 
1-8600 

1*9734 



Age at 
Ban- 
ning 
of 
Year 



10 
II 
12 
13 
14 



17 
18 

19 

20 
21 
22 

23 

24 

u 

27 
28 

29 

30 
31 
32 

33 

34 

36 
37 
38 
39 

40 

41 
42 

43 
44 

46 

47 
48 

49 

SO 
51 
52 
53 

54 I 



Age at 
Be^n- 

ning 
of 

Year 



59 

60 
61 
62 

64 

65 
66 

69 
70 

71 
72 
73 
74 

?i 

77 
78 
79 

80 
81 

82 

83 
84 

85 
86 

89 

90 
91 
92 
93 
94 

95 
96 

97 



INSTITUTE OF ACTUABIES MOBTALITY TABLE 

Healthy Males (Hm.) 



Niunber Living 

at Beginning 

of Year 



66,513 
65,114- 
63,652 
62,125 

60,533 

58,866 

57.119 
55.289 
53.374 
51.373 

49.297 
47,156 
44,960 

42,717 
40,443 

38,124 

35,753 
33,320 
30,823 
28,269 

25,691 
23,164 
20,700 
18,326 
16,068 

13,930 

11,915 
10,032 

8,313 
6,768 

5,422 
4,284 

3,343 
2,570 

1.955 

1,460 
1,052 

723 

469 
274 

135 

49 

9 



Number 

Dying 

during 

the 

Year 



1,399 
1,462 

1,527 
1,592 
1,667 

1,747 
1,830 

1,915 
2,001 

2,076 

2,141 
2,196 
2,243 
2,274 

2,319 

2,371 
2,433 
2,497 
2,554 
2,578 

2,527 

2,464 

2,374 
2,258 

2,138 

2,015 
1,883 

1,719 
1,545 
1,346 

1,138 
941 

773 
615 

495 

408 

329 
254 
195 
139 

86 

40 

9 



Probable Number out of every 100 
Alive at the Beginning of a Year 



who will Survive 
the Year 



who will Die 
during the Year 



4 

97*8967 
97*7547 
97-6010 

97*4374 
97-2461 

97*0322 
96-7962 

965364 
96-2510 

95*9590 

95-6569 

95*3431 
95 -on I 

94-6766 

94 2660 

93*7808 

93*1950 
92-5060 
91-7140 
90-8805 

90-1639 
89-3628 

88-5314 
87-6787 
86-6941 

85*5348 
84-1964 
82-8648 
81-4147 
80-1123 

790115 
780345 
76-8770 
76-0700 
74-6804 

72-0548 
68 7263 
64-8686 
58-4222 
49-2700 

36-2964 
18-3673 
00-0000 



(134) 



(135) 



2-1033 
2*2453 
2 3990 
2-5626 

27539 

2-9678 
3-2038 
34636 
3*7490 
4-0410 

4*3431 
4*6569 
4-9889 

53234 
57340 

6-2192 
6 8050 
7-4940 
8-2860 

9*1195 

9-8361 
10-6372 
1 1 4686 
12-3213 

13*3059 

14-4652 
15-8036 
17-1352 

18*5853 
19-8877 

20-9885 
21-9655 
23-1230 
23-9300 
25-3196 

27-9452 

31*2737 
35*1314 
41*5778 
50-7300 

63*7036 

81 6327 

100-0000 



Age at 
Begin- 
ning 

of 
Year 



55 
56 
57 

59 

60 
61 
62 

63 
64 

65 
66 

67 
68 

69 
70 

71 
72 
73 
74 

?i 

77 
78 
79 

80 
81 
82 

83 
84 

85 
86 

87 
88 

89 
90 

91 
92 
93 
94 

96 
97 



MORTALITY TABLES 



Age at 
Beginning 
of Year 



Number Living 

at Beginning 

of Year 






10,000 


z 


8,461 


2 


7,779 


3 


7.274 


4 


6,998 


5 


6,797 


6 


6,676 


7 


6,594 


8 


6,536 


9 


6,493 


10 


6,460 


II 


6,431 


12 


6,400 


13 


6,368 


M 


6.335 


IS 


6,300 


16 


6,261 


^l 


6,219 


18 


6,176 


19 


6,133 


ao 


6,090 


21 


6,047 


22 


6,005 


23 


5.963 


24 


5.921 


25 


5.879 


26 


5.836 


27 


5.793 


28 


5.748 


29 


5.698- 


30 


5.642 


31 


5.585 


32 


5.528 


a3 


5.472 


34 


5,417 


35 


5.362 


36 


5,307 


37 


5.251 


38 


5.194 


39 


5.136 


40 


5.075 


41 


5.009 


42 


4.940 


43 


4.869 


44 


4.798 


45 


4.727 


46 


4.657 


^l 


4.588 


48 


4,521 


49 


4,458 



CABLISLE TABLE 



For explanation see pp. 23-25 



29 

31 
32 
33 
35 

39 
42 

43 
43 
43 

43 
42 

42 
42 
42 

43 
43 
45 
50 
56 

57 
57 
56 
55 
55 

55 
56 
57 
58 
61 

60 

69 

71' 

71 

71 

70 

69 

67 

63 
61 



Number Dying 


Age at 


during the 


' Begfinning 


Year 


of Year 


1.539 


50 


682 


51 


505 


52 


276 


53 


201 


54 


121 


55 


82 


5^ 


58 

43 


57 


33 


59 



Number Living 

at Beginning 

of Year 



(136) 



60 
61 
62 

64 

65 
66 

57 
68 

69 

70 
71 
72 
73 
74 

75 
•76 

77 
78 

79 

80 
81 
82 

84 

85 
86 

87 
88 

89 

00 

91 
92 

93 
94 

95 
96 

% 

99 



4.397 
4,338 
4.276 
4,211 

4.143 

4.073 
4,000 

3.924 
3.842 

3,749 

3.643 
3.521 

3.395 
3.268 

3.143 
3,018 
2,894 
2,771 
2,648 
2,525 
2,401 
2,277 

2,143 

1.997 
1,841 

1,675 

1,515 
1.359 • 
1,213 
1,081 

953 

837 

725 
623 

529 

445 
367 
296 

232 
181 

142 
105 

75 
54 
40 

30 

23 
18 

14 
II 



Number Dying 

during the 

Year 



59 
62 

65 
68 

70 

73 
76 
82 

93 
106 

122 
126 
127 

125 
125 

124 
123 
123 
123 
124 

124 

134 
146 
156 
166 

160 
156 
146 

132 
128 

116 
112 
102 

94 

84 

78 
71 
64 

51 
39 

37 
30 
21 

14 
10 

7 

5 

4 

3 
2 



t 



TABLES 



COMBININQ 



MORTALITY OF SINGLE LIVES 



AND 



INTEREST 



% 



\ 



For explanation see pp. 25-28 



(137) 






MORTALITY TABLES 



MOKTALlTY TABLES 



I 



VALUE OF AN ANNUITY ON A SINGLE LIFE ACCORDING TO THE 
NOBTHAMPTON TABLE OF MOBTALITY 



Age 


3% 


4% 


5% 


6% 


Age 


I 


l6-02I 


13-465 


"•563 


10-107 


I 


2 


18-599 


15633 


13-420 


11-724 


2 


3 


19-575 


16-462 


14-135 


12-348 


3 


4 


20-2IO 


17-010 


14-613 


12-769 


4 


5 


20473 


17-248 


14-827 


12-962 


5 


6 


20727 


17-482 


15-041 


13-156 


6 


7 


20-853 


1 7 -61 1 


15-166 


13-275 


7 


8 


20-885 


17-662 


15-226 


13-337 


w 

8 


9 


20-812 


17-625 


15-210 


13-335 


9 


lO 


20-663 


17-523 


15-139 


13-285 


10 


II 


20-480 


17-393 


15-043 


13-212 


II 


12 


20-283 


17-251 


14-937 


13-130 


12 


13 


20081 


17-103 


14826 


13044 


13 


14 


19-872 


16-950 


14-710 


12-953 


14 


15 


19-657 


16-791 


14-588 


12-857 


15 


i6 


19*435 


16-625 


14-460 


12-755 


16 


% 


19-218 


16-462 


14-334 


12-655 


'7 


19-013 


16-309 


14-217 


12-562 


16 


19 


18-820 


16-167 


14-108 


12-477 


19 


20 


18-638 


16-033 


14-007 


12-398 


20 


21 


18-470 


15-912 


13-917 


12-329 


21 


22 


18-311 


15-797 


13-833 


12-265 


22 


23 


18-148 


15-680 


13-746 


1 2 200 


23 


24 


17-983 


15-560 


13-658 


12-132 


24 


25 


17-814 


.15-438 


13-567 


12063 


25 


26 


17-642 


15-312 


13-473 


11-992 


26 


27 


17-467 


15-184 


13-377 


11-917 


27 


28 


17-289 


15-053 


13-278 


1 1 -841 


28 


29 


17107 


14-918 


13-177 


11-763 


29 


30 


16-922 


14-781 


13-072 


1 1 682 


30 


31 


16-732 


14-639 


12-965 


11-598 


31 


32 


16-540 


14-495 


12-854 


11-512 


32 


33 


16-343 


14-347 


12-740 


1 1 -423 


13 


34 


16-142 


14-195 


12-623 


11-331 


34 


35 


15-938 


14-039 


12-502 


1 1 -236 


35 


36 


15-729 


13-880 


12-377 


II-I37 


36 


37 


15-515 


13-716 


12-249 


1 1 -035 


% 


38 


15-298 


13-548 


12-116 


10-929 


39 


15-075 


13-375 


1 1 -979 


10-819 


39 


40 


14-848 


13-197 


1 1 -837 


10-705 


40 


41 


14-620 


13-018 


1 1 -695 


10-589 


41 


42 


14-391 


12-838 


11-551 


10-473 


42 


43 


14-162 


12-657 


1 1 -407 


10-356 


43 


44 


13.929 


12-472 


11-258 


10-235 


44 


45 


13-692 


12-283 


1 1 -105 


lO-IIO 


45 



v> 



VALUE OF AN ANNUITY ON A SINGLE LIFE ACCOBDING TO THE 
NOBTHAMPTON TABLE OF MOBTALITY 



Age 



46 

47 
48 

49 
50 

51 
52 
53 
54 
55 

56 

P 



61 
62 

63 
64 

65 
66 
67 
68 

69 

70 

71 
72 
73 
74 
75 

76 

77 
78 

79 
80 

81 

82 

83 

84 

85 

86 

87 
88 

89 
90 



3% 



13450 
13-203 
12-951 
12-693 
12436 

12-183 
1 1 -930 
1 1 674 
1 1 -414 
11-150 

10-882 

io-6ii 
10-337 
10-058 

9-777 

9-493 
9-205 

8-910 

8-6II 

8-304 

7-994 
7-682 

7-367 
7051 

6-734 

6-418 
6-103 
5-794 
5-491 
5-199 

4-925 

• 4 652 

4-372 

4-077 
3-781 

3-499 
3-229 
2-982 

2-793 
2-620 

2-462 
2-312 
2-185 
2-013 
1-794 



4% 



12*089 
II 890 
11-685 

11-475 
1 1 -264 

1 1 -057 
10-849 
10-637 
10-421 
10-201 

9-977 

9749 
9-516 
9-280 

9-039 

8-795 
8-547 
8-291 
8 030 
7-761 

7-488 
7-211 
6-930 

6647 
6-361 

076 

790 

507 
230 

962 



4-710* 

4-457 
4197 
3921 

3-643 

3-377 
3-122 

2-887 
2-708 

2-543 

2-393 
2-251 

2-131 

I 967 

1-758 



5% 



10-947 
10-784 
io-6i6 

10-443 
10-269 

10-097 

9925 
9-748 

9-567 
9382 

9-193 
8-999 

8-8oi 

8-599 
8-392 

8-181 
7-966 
7-742 

7-514 
7-276 



7-034 
6-787 

536 
281 
023 



5-764 

5-504 

5-245 
4-990 

4-744 



6% 



9-980 
9-846 
9707 

9563 
9-417 

9273 
9-129 

8980 
8-827 
8670 

8-509 

8-343 

8-173 

7-999 
7*820 

7-637 
7-449 
7-253 
7-052 
6-841 

6 625 

6-405 

6-179 

5 949 
5716 

5*479 
5-241 
5-004 
4-769 

4-542 



4-5II 


4326 


4-277 


4-109 


4-035 


3-884 


3-776 


3-641 


3-515 


3-394 


3-263 


3-156 


3-020 


2-926 


2-797 


2713 


2-627 


2-551 


2-471 


2-402 


2-328 


2-266 


2-193 


2*138 


2-080 


2031 


1-924 


1-882 


1-723 


1-689 



Age 



46 

47 
48 
49 
50 

51 
52 
53 
54 

56 

56 

5Z 
58 

59 
60 

61 
62 

63 
64 

65 

66 

% 

69 
70 

71 
72 

73 
74 
75 

76 

77 
78 

79 
80 

81 
82 

83 
84 
85 

86 

87 
88 

89 
90 



<l 



For explanation see pp. 25-27 



(138) 



(139) 



H 



MORTALITY TABLES 



MORTALITY TABLES 




VALUE OF AN ANNUITI ON A SINGLE LIFE ACCOEMNG TO THE 

CAELISLE TABLE OF MORTALITY 



I 

2 

3 
4 
5 
6 

7 
8 

9 

10 

II 

12 

i3 

14 
15 
i6 

17 
i8 

19 

20 

21 
22 

23 

24 

25 
26 

27 
28 
29 

30 

31 
32 
33 
34 
35 

36 
37 
38 

39 
40 

41 
42 

43 

44 

45 

46 

% 

49 
SO 



O/ 



^o 



20 085 
21-501 
22-683 
23-285 

23*693 

23*846 
23-867 
23-801 

23-677 
23-512 

23327 

23-143 
22-957 

22 769 

22-582 

22-404 
22*232 
22-058 
21-879 
21-694 

21-504 
21-304 
21-098 
20-885 
20-665 

20*442 

20-2I2 

9-981 
9-761 

9-556 

9-348 

9-134 
8-910 

8-675 
8-433 
8-183 
7*928 
7-669 
7-405 
7-143 
6890 
6-640 

6-389 
6-130 
5863 

5-585 
5-294 

4-986 

4-654 

4-303 



a 



o 



6-556 
7-728 
8-717 

9-233 
9 594 

9-747 
9-792 
9 766 
9693 
9-585 
9-460 

9-336 
9-210 
9 082 
8956 

8-837 
8-723 
8-608 
8-488 

8363 

8-233 
8-095 

7-951 
7-801 

7-645 

7-486 

7 320 

7-154 
6-997 

6-852 
6-705 

6-552 
6-390 
6-219 
6-041 

5-856 
5*666 

5-471 
5*272 

5-074 

4-883 

4-694 
4-505 
4-308 
4-104 

3889 
3 662 

3-419 

3-153 
2 869 



5% 



3-995 
4-983 
5-824 
6-271 
6*590 

6-735 
6*790 

6786 

6-742 

6669 

6*581 

6-494 
6-406 
6-316 
6*227 

6-144 
6-066 

5-987 
5-904 
5-817 

5-726 
5 628 

5-525 
5-417 
5-303 

5-187 
5-065 
4-942 
4-827 

4-723 

4-617 
4-506 

4-387 
4*260 

4-127 

3-987 
3-843 
3695 
3-542 
3390 

3-245 
3*101 

2-957 
2 -806 
2*648 

2*480 
2*301 
2*107 
1*892 
1*660 



6% 



2*078 

2*925 
3652 
4*042 

4*325 
4*460 
4-518 
4-526 
4-500 
4-448 

4-384 

4321 

4-257 

4-191 
4*126 

4-067 
4*012 
3-956 



•897 
•835 

3-769 

3697 
3-621 

3-541 
3-456 

3-368 

3-275 
3-182 

3-096 
3-020 

2-942 
2*860 
2*771 
2-675 

2-573 

2-465 

2-354 
2*239 
2*120 
2 -002 

1*890 
1*779 
1-668 

I 551 
1*428 

1*296 

1-154 
0998 
0-823 
0-631 



For explanation see pp. 25-27 



(140) 



7% 



10*605 
11-342 
1 1 978 
12*322 

12-574 

12-698 

12-756 

12*770 

12-754 
12*717 

12*669 
12-621 
12-572 
12-522 

12*473 
12*429 
12*389 
12*348 
12*305 
12-259 

I2-2IO 
12-156 
12-098 
12-037 
1 1 -972 

11-904 
1 1 -832 

11759 
11-693 
1 1 636 

11*578 
11-516 
1 1 448 

11-374 
1 1 -295 

11*211 
11124 

1 1 -033 
10*939 
10845 

10-757 
10*671 
10-585 
10*494 

10-397 

10*292 

10*178 

10-052 

9*908 

9*749 



8% 



Age 



9-439 


I 


10088 


2 


10*651 


3 


IO-957 


4 


11-184 


5 


1 1 298 


6 


11-354 


7 


11*371 


8 


1 1 362 


9 


11-334 


10 


11-296 


II 


11-259 


12 


11*221 


13 


11*182 


14 


11-144 


IS 


IIIU 


16 


1 1 081 


17 


11-051 


18 


11*019 


19 


10985 


20 


10-948 


21 


10906 


22 


10-861 


23 


10-813 


24 


10*762 


25 


10709 


26 


10-652 


27 


10-594 


28 


10-542 


29 


10-498 


30 


10*454 


31 


10*407 


3:2 


IO-355 


33 


10*297 


34 


10*235 


35 


[0-I68 


36 


[0098 


37 


[ 0-026 


38 


9950 


39 


9-875 


40 


9*805 


41 


9-737 


42 


9*669 


43 


9-597 


44 


9-520 


45 


9436 


46 


9^344 


% 


9-241 


9-121 


49 


8*987 


50 












(141) 



VALUE OF AN ANNUITY ON A SINGLE LIFE ACCORDING TO THE 






CARLISLE TABLE OF MORTALITY 




Age 


Age 


3% 


4% 


5% 


6% 


7% 


8% 


51 


13-932 


12*566 


11*410 


10*422 


9-573 


8-838 


51 


52 


13558 


12*258 


11-154 


10-208 


9392 


8684 


52 


53 


13*180 


11-945 


10*892 


9-988 


9-205 


8-523 


53 


54 


12-798 


1 1 *627 


10-624 


9-761 


9-011 


8-356 


54 


55 


12-408 


11*300 


10*347 


9524 


8-807 


8179 


55 


56 


12-014 


10*966 


10063 


9-280 


8-595 


7-995 


56 


% 


11-614 


10*625 


9-771 


9-027 


8-375 


7-802 


57 


ll-2l8 


10*286 


9*478 


8-772 


8-153 


7-606 


58 


§9 


10-841 


9-963 


9*199 


8*529 


7-940 


7*418 


§9 


60 


10491 


9-663 


8*940 


8*304 


7-743 


7-245 


60 


61 


10*180 


9-398 


8*712 


8*108 


7-572 


7095 


61 


62 


9875 


9-137 


8*487 


7-913 


7*403 


6-947 


62 


63 


9-567 


8*872 


8*258 


7-714 


7-229 


6-795 1 


63 


64 


9246 


8-593 


8*016 


7-502 


7*042 


6630 1 


64 


65 


8*917 


8-307 


7-765 


7-281 


6-847 


6-457 


65 


66 


8-578 


8-OIO 


7-503 


7-049 


6*641 


6272 


66 


67 


8-228 


7*700 


7*227 


6-803 


6*421 


6 -075 


67 


68 


7-869 


7-380 


6-941 


6546 


6*189 


5-866 


68 


69 


7-499 


7*049 


6-643 


6*277 


5-945 


5-643 


69 


70 


7*123 


6-709 


6-336 


5-998 


5-690 


5-410 


70 


71 


6*737 


6-358 


6-015 


5-704 


5-420 


5-160 


71 


72 


6-373 


6 -026 


5-711 


5-424 


5-162 


4-922 


72 


73 


6 -044 


5-725 


5-435 


5-170 


4-927 


4-704 


73 


74 


5-752 


5-458 


5-190 


4-944 


4*719 


4-511 


74 


75 


5-512 


5-239 


4-989 


4*760 


4-549 


4-355 


75 


^ 


5-277 


5-024 


4*792 


4-579 


4-382 


4*200 


76 


fl 


5-059 


4-825 


4-609 


4-410 


4*227 


4-056 


77 


78 


4838 


4-622 


4-422 


4-238 


4*067 


3-908 


78 


is 


4-592 


4-394 


4-210 


4*040 


3-883 


3-736 


79 


4-365 


4-183 


4-015 


3-858 


3-713 


3-577 


80 


81 


4-119 


3-953 


3-799 


3-656 


3-523 


3-398 


81 


82 


3-898 


3-746 


3-606 


3*474 


3-352 


3-237 


82 


83 


3-672 


3-534 


3-406 


3*286 


3-174 


3069 


83 


84 


3-454 


3*329 


3-211 


3*102 


2*999 


2-903 


54 


85 


3-229 


3*115 . 


3-009 


2*909 


2*815 


2*727 


85 


86 


3-033 


2-928 


2*830 


2-739 


2-652 


2*571 


86 


87 


2-873 


2*776 


2*685 


2-599 


2-519 


2*440 


87 


88 


2-776 


2*683 


2-597 


2-515 


2-439 


2*366 


88 


89 


2-665 


2-577 


2-495 


2*417 


2-344 


2*276 


89 


90 


2-499 


2*416 


2-339 


2*266 


2*198 


2*133 


90 


91 


2-481 


2-398 


2-321 


2*248 


2*180 


2*115 


91 


92 


2-577 


2*492 


2*412 


2-337 


2*266 


2*198 


92 


93 


2*687 


2 600 


2*518 


2*440 


2*367 


2*297 


93 


94 


2*736 


2*650 


2*569 


2*492 


2*419 


2*350 


94 


95 


2-757 


2*674 


2*596 


2*522 


2-451 


2-383 


95 


96 


2*704 


2*628 


2-555 


2*486 


2*420 


2-358 


96 


97 


2-559 


2*492 


2*428 


2*368 


2*309 


2*253 


97 


98 


2*388 


2*332 


2*278 


2*227 


2*177 


2*129 


98 


99 


2*131 


2-087 


2*045 


2*004 


1-964 


1*926 


99 


100 


1683 


1-653 


1-624 


1*596 


1-569 


1*543 


100 



H 2 



MORTALITY TABLES 



MORTALITY TABLES 






'1 



lit 



VALUE OF AN ANNUITY ON A SINGLE LIFE ACCORDING TO THE 
INSTITUTE OF ACTUARIES HEALTHY MALES TABLE. 



Age 



10 
II 
12 

13 
14 

15 
i6 

17 
i8 

19 

20 
21 
22 

23 

24 

25 
26 

27 
28 

29 

30 
31 
32 
33 
34 

36 

37 
38 
39 

40 

41 
42 
43 
44 

45 
46 

47 
48 

49 

50 
51 
52 
53 
54 



2i 0/ 
2 /o 



26732 

26-535 
26-307 

26-055 
25785 

25-502 
25-215 
24-930 

24-653 
24 390 

24-145 
23-906 

23-669 

23-428 

23-178 

22-916 
22-646 
22-368 
22-086 

21 -802 

21-515 
21-224 
20-928 
20-627 
20-319 

20 -006 
9-687 

9-365 

9-039 
8-708 

8-371 
8-026 
7-672 

7-3II 
6-943 

6-570 

6-194 
5-816 
5-437 
5-055 

4-669 
4-280 
3-885 
3-486 
3086 



Oy 



^O 



24-148 

23-995 
23-814 

23-610 

23-390 

23-158 
22-922 

22-686 
22-458 
22-243 

22-043 
21-848 
21-656 
21-460 
21-254 

21-038 
20-814 
20-582 

20-347 
20-109 

9-867 
9-623 

9-373 
9117 

8-855 

8-587 
8-314 
8-037 

7-756 
7 469 

7-176 
6-876 
6-566 
6-248 

5-924 

5-594 
5 260 

4-923 

4-5S5 
4-242 

3-896 

3*545 
3-188 

2-826 

2-462 



3^ 



2 



% 



21-954 
21-834 

21-689 

21-523 

21-341 

21*149 
20-953 
20-757 
20-567 
20-389 

20-225 
20-066 

9-909 
9-748 
9-578 

9-399 
9-2I2 
9-018 
8-820 
8-620 

8-416 
8-209 

7-996 
7-778 

7-554 

7-325 
7-090 

6-850 

6-607 

6-358 

6-103 
5-840 
5-568 
5-288 
5-001 

4-707 
4-410 
4-110 
3-806 
3-499 

3-187 
2-870 

2-547 
2-218 

1-885 



For explanation see pp. 25-27. 



4% 



20-077 
1 9 982 
19-865 
19-728 
19-578 

19-417 
19-252 
19-087 
18-928 
18-780 

18-644 

18-513 
18-384 

18-251 

i8-iio 

17-961 
17-804 
17-641 

17-474 
17-304 

17-131 

16-955 
16-774 
16-587 

16-395 
.16-197 

15-994 
15-786 

15-575 
15358 

15-135 

14-904 

14-664 

14-417 
14-162 

13-901 

13-635 
13-366 

13-094 

12-817 

12-536 
12-249 

"-955 
"•655 
11-351 



4i% 



(142) 



18-459 
18-385 
18-289 
18-176 
18-049 

17-914 

17-774 

17-634 
17-499 

17-375 

17-262 

17-153 
17-047 

16-937 

16-819 

16-694 
16-561 
16-423 
16-281 
16-137 

15-989 

15-839 
15-684 

15-523 
15-358 

15-186 
15-010 
14-830 

14-645 
14-455 

14-260 
14*056 

13-845 
13-625 

13-398 

13-165 
12-927 
12-686 
12-441 
12-191 

1 1 -936 
1 1 -676 
11-408 
11-134 
10-856 



5% 



17-057 
16-998 
16-919 
16-824 
16-717 

16-602 
16-482 
16-362 
16-248 
16-142 

16-047 

15-957 
15-868 

15-776 

15-678 

15-572 
15-460 

15-342 
15-221 
15-097 

14-971 
14-842 
14-708 
14-570 
14-426 

14-277 
14-124 
13-966 
13-805 
13-638 

13-466 

13-287 

13-099 
12-903 

12-701 

12-491 
12-278 
12-061 
1 1 -840 
11-614 

r I -383 
11-146 
10-902 
10-651 
10-396 



Age 



10 
II 
12 
13 
14 

\i 

x8 
i9 

20 
21 
22 
23 
24 



27 
28 

29 

30 
31 
32 
33 

34 



37 
38 
39 

40 

41 
42 
43 
44 



47 
48 

49 

50 
51 
52 
53 
54 






VALUE OF AIT ANNUITY ON A SINGLE LIFE ACCORDING TO THE 
INSTITUTE OF ACTUARIES HEALTHY MALES TABLE 



Age 



5. 

57 
58 
59 

do 
61 
62 

63 
64 

65 
66 

67 

68 

69 

70 

71 
72 

73 
74 

79 

80 
81 
82 

83 
84 

85 
86 



89 

90 

91 
92 
93 
94 

96 
97 



2i% 3% 3i% 



12-683 
12-279 
11-875 

11-471 
11-067 

10-665 

10-266 

9-871 

9-481 

9-096 

8-716 
8-340 
7 966 

7-594 
7-221 

6-852 
6-489 
6-137 
5-800 
5-482 

5-183 
4-892 
4-61 1 

4-339 
4*073 

3-815 
3-572 
3-348 
3-142 

2-955 

2-781 
2-608 
2-425 
2-234 

2-OIO 

1-758 
1-501 
1-239 

-958 
-681 

•418 
•179 
•000 



12-094 1 
11-724 

11-353 
10-981 

10-608 

10-236 
9-866 
9-498 
9-134 

8-774 

8-418 
8-064 
7-712 
7-360 
7-007 

6-657 
6-311 
5-975 
5-653 
5348 

5-061 
4-782 
4-512 
4-249 
3-992 

3-742 

3-507 
3-290 
3-089 
2-908 

2-739 
2-570 

2-393 
2 -206 

1-987 

1-740 

1-487 
1-229 

-951 
•677 

-415 
•178 

-000 



11-549 
11-210 

10-868 

10-525 

10-180 

9-835 
9-490 
9-148 
8-807 
8-471 

8-136 
7-803 
7-471 

7-139 
6-804 

6-470 
6-141 
5-820 
5-512 
5-220 

4-945 
4-676 

4-416 

4-162 

3-914 
3-672 
3 '444 
3-233 
'3-038 
2-862 

2-698 

2-534 
2-361 
2-178 

1-964 

1-722 

1-473 
I -219 

•944 
-673 

•413 
-178 

-000 



4% 



11-043 
10-731 
10-417 
10-100 
9-780 

9-459 
9-138 

8-8i8 

8-500 

8-185 

7-870 

7-557 

7-243 
6-928 

6-610 

6-293 

5-979 
5-672 

5*377 
5-097 

4-833 
4-574 
4-324 
4-079 
3-838 

3-604 
3-382 
3-178 
2-989 
2-818 

2-658 
2-498 
2-330 
2-152 
1-942 



4*% 



1-704 

1-459 
I -208 

•937 
-668 



•411 

•177 
•000 



(143) 



IO-573 
10-286 

9-996 
9-702 

9405 

9-107 
8-808 
8-509 

8-2II 

7-914 

7-6x9 

7-323 
7-026 
6-728 
6-426 

6-124 
5-824 
5-530 
5-247 
4-979 

4-725 
4-476 
4-235 
3-998 
3-765 

3-539 
3-323 
3-125 

2-941 
2-774 

2-619 
2-464 
2-299 
2-125 
1-920 

1-686 
1-446 
I -198 

-930 
•664 

•408 
-176 
-000 



5% 



10-135 
9-871 
9-602 
9-330 
9-054 

8-776 
8-497 
8-217 
7-938 
7-659 

7-381 
7-102 
6-821 

6-538 
6-251 

5-963 
5-676 

5-395 
5-123 

4-866 

4-622 
4382 

4 149 
3-921 

3695 

3-475 
3-266 

3-073 
2-894 

2-732 

2-581 

2-430 
2-270 
2-100 
1-898 

1-669 

1-432 
1-188 

-924 
-660 

-406 

-175 
•000 



Age 



56 

57 
58 
59 

60 
61 
62 

63 
64 

65 
66 

67 
68 

69 

70 

71 
72 
73 
74 

79 

80 
81 
82 

83 
84 

85 
86 

87 
88 

89 

90 

91 
92 

93 
94 



97 



' \ 



r 



MOKTALITY TABLES 



VALUE OF AN ANNTTITY ON A SINGLE LIFE ACCOBDINO TO 
THE GOVEBNMENT EXPEBIENCE, 1883 



Age 



20 

25 
30 

35 
40 

41 
42 

43 
44 
45 

46 

47 
48 

49 
50 

51 
52 
53 
54 
55 

56 
57 
58 

59 
60 

61 
62 

63 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 



79 
80 



Males 



2i 



''O 



22-434. 

21-282' 

20-079 

18-822 

17-501 

1 7 227 
16-950 
16-670 
16-387 
16-099 

15*807 

15-511 
15-209 

14-900 
14*588 

14-268 

13-941 
13-608 
13-267 
12-919 

12-563 
12-198 
1 1 -823 

1 1 -439 
1 1 054 

10-678 
10-314 

9948 
9*586 
9 225 

8-875 

8-533 
8-196 
7-858 
7-521 

7-191 
6-864 
6-546 
6-245 
5*955 

5-672 
5-404 

5-145 
4-891 
4-647 



3% 



20-561 
19-601 
18-588 

17-515 
16-376 

16-138 

15-897 
15-653 
15-404 
15152 

14-895 
14-633 
14-365 
14-091 

13-813 

13-526 

13*233 
12-933 

12-625 

12-309 

1 1 -986 
1 1 -653 
11-310 
10-956 
10-601 

10-254 

9-916 

9-577 

9-239 
8-902 

8-573 
8-252 

7*936 
7-617 

7*299 

6-986 
6-675 

6-373 

6 -086 
5-809 

5-538 
5-281 

5*033 
4-788 

4-553 



3i% 



18-936 
18-130 
17-271 

16-353 
15-365 

15-158 

14*947 
14-733 
14-514 
14-292 

14-065 

13-833 

13-595 

13-351 
.13-103 

12-845 
12-582 
12-311 
12-032 
11-746 

1 1 -451 
1 1 -146 

10-832 

10-506 

10-178 

9-857 

9-543 
9-228 
8-913 

8-597 

8-289 

7-987 
7-689 

7-388 
7-087 

6-790 

6-495 
6-208 

5*934 
5-669 

5-410 
5-163 

4-925 
4-689 

4-463 



o> 



^o 



14-454 

14-273 
14-088 

13-899 
13-707 

13-510 

13*309 
13*103 
12-891 
12-673 
12-450 

12-219 
11-982 

11*737 
1 1 -484 

11-224 

10*955 
10-676 

10-387 

10-086 

9*783 

9*485 
9-194 

8-900 

8-605 

8309 

8-020 

7-736 

7-455 
7-171 

6-886 

6-604 

6323 
6-050 

5-788 
5-535 

5-286 
5-050 
4-821 

4 594 
4-376 



Oy 



^o 



12-883 

12-743 
12-599 

12-451 

12-300 

12-145 

11-986 
1 1 -822 
1 1 -653 
11-477 
1 1 -298 

II-IIO 

10-916 
10-714 
10-506 
10-289 

10063 
9-828 

9583 
9-326 
9-065 

8-808 

8-556 
8-300 
8-041 
7-781 

7-525 

7-273 
7-023 

6-768 

6-512 

6-257 

6-003 

5-754 

5-515 
5-283 

5-054 
4-836 
4-624 

4-413 
4-210 



Age 



20 

25 
30 

35 
40 

41 
42 

43 
44 
45 

46 

% 

49 
50 

51 
52 
53 
54 
55 

56 
57 
58 

60 

61 
62 

63 
64 
65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

77 
78 

2 



For explanation see pp. 25-27 






(144) 



MORTALITY TABLES 



VALUE OF AN ANNUITY ON A SINGLE LIFE ACCOEDING TO 
THE GOVEKNMENT EXPEBIENCE, 1883 

Femalbs 



Age 



20 

25 
30 

35 
40 

41 
42 
43 
44 
45 

46 

% 
49 
50 

51 
52 
53 
54 
55 

56 

5; 

59 
60 

61 
62 

63 
64 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 



IS 



2i% 



24-479 

23-397 
22-223 

20-939 
19-523 

19-223 
18-915 
18-601 
18-279 
17-950 

17-612 
17-266 
16-91 1 
16-552 
16-190 

15-831 

15*465 
15-091 
14-712 
14-329 

13-936 
13-538 
13*138 

12-735 
12-333 

1 1 -925 
11-523 
1 1 -120 
10-713 
10-296 

9-880 

9-463 
9-052 

8-650 

8-260 

7-893 

7*539 
7-196 
6-863 

6-537 

6-220 

5-911 
5-613 
5-323 
5*044 



3% 



22-292 

21-415 
20-451 
19-380 

i8-i8o 

17-923 
17-658 

17*386 
17-107 
16-820 

16-525 

l6-22I 
15-910 

15*592 
15-271 

14*952 
14-626 
14-292 

13*951 
13-607 

13-252 
12-891 
12-527 
12-160 
1 1 -791 

11-417 
1 1 -046 
10-674 
10-297 

9*909 

9-521 

9*131 

8-745 
8-367 
8-000 

7-654 
7-319 
6-994 
6-677 
6-367 

6-064 

5-769 
5*483 
5205 

4*937 



3i? 



o 



20-409 
19-695 
18-898 
18-001 
16-980 

16-758 
16-529 
16-294 
16-051 
15-801 

15*543 
15-276 

15-000 

14-719 

14-434 

14-149 
13-859 
13-558 
13*252 
12-942 

12-620 
12-292 
11-960 
1 1 -625 
11-287 

10-943 
10-601 

10-257 

9-907 

9*546 

9*183 
8-818 

8-456 
8-100 

7-754 

7-426 
7-110 
6-801 
6-500 
6-204 



a 



o 



15-904. 
15-712 

15-514 
15-310 

15-098 
14-879 

14-652 
14-416 

14-173 

13-923 
13-669 

13-415 

13-155 
12-885 

12-609 

12-328 

12-036 

11-738. 

11-435 
11-128 
io-8i8 

► 10-500 

10-185 

9-866 

9-541 
9-204 

8-865 
8-523 
8-182 

7-847 
7-520 

7-210 
6-910 
6-617 
6-331 
6-048 



5*915 


5*773 


5*633 


5-502 


5-359 


5-240 


5-092 


4*983 


4*834 


4*735 



5% 



14063 

13-920 
13-769 
13-613 

13*451 
13-281 

13-105 
12-920 
12-727 
12-528 
12-325 

I2-I2I 
1 1 -91 1 
11*692 
1 1 -467 
1 1 -236 

10-994 

10-745 
10-492 

10-233 

9-971 

9-700 

9-429 

9-155 

8-873 
8-579 

8-282 
7-980 
7-678 

7-379 
7-087 

6-809 

6-539 
6-274 
6-014 

5*757 

5*504 
5-256 
5*015 

4*777 
4*547 



Age 



20 
25 
30 

35 
40 

41 
42 
43 
44 
45 

46 

% 

49* 
50 

51 
52 

53 
54 
55 

56 

58 

59 
60 

61 
62 

63 
64 

65 

66 
67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

77 

78 

79 
80 



■"1 



(145) 



MORTALITY TABLES 



SINGLE PAYMENT TO SECUEE £1 AT DEATH ACCOEDING TO 
THE CAEUSLE TABLE OF MOBTALITY 



Age 



M 



111 



i(i 



*■ 



o 
I 

2 

3 

4 

5 
6 

7 
8 

9 

10 

II 

12 

13 
14 

IS 
• i6 



19 

20 
21 
22 

23 

24 

25 
26 

29 

30 
31 
32 
33 
34 



i 

39 
40 

41 
42 
43 
44 

45 
46 

47 
48 

49 



3% 



4% 



•46641 

•38587 
•34463 
•31021 
•29267 

•28079 
•27633 
•27572 
•27764 
•28125 

•28606 

•29145 
•29681 

•30222 

•30771 

•31315 
•31833 

•32334 
•32841 

•33362 

•33901 

•34455 

•35037 

•35637 
•36252 

•36808 

•37548 
•38218 
•38890 

•39531 
•40129 

•40734 
•41357 
•42010 
•42694 

•43399 
•441 17 
•44870 
•45624 
•46393 
•47156 

•47893 
•48621 

•49352 
•50108 

•50885 

•51694 
•52542 

•53439 
•54406 



•41224 

•32483 
•27976 

•24173 
•22187 

•20800 
•202 1 1 
•20038 
•20137 
•20419 

•20833 
•21313 
•21789 
•22272 
•22762 

•23249 
•23706 
•24150 
•24590 
•25052 

•25532 
•26031 

•26562 
•271 15 
•27690 

•28289 
•28901 

•29538 
•30176 
•30781 

•31338 
•31903 
•32491 

•331 13 
•33771 

•34457 
•35170 
•35901 
•36649 

•37416 

•38178 
•3891 1 

•39636 
•40364 
•41 120 

•41905 
•42734 
•43607 

•44542 
•45565 



5% 



•37700 

•28595 
•23891 

•19886 

•17757 

•16238 

•15548 
•15286 

•15305 
•15514 

•15862 
•16281 
•16695 
•17114 

•17543 

•17967 

•18362 

•18733 
•19110 

•19505 

•19919 

•20352 

•20819 

•21310 

•21824 

•22367 
•22919 
•23500 
•24086 
•24633 
•25129 

•25633 
•26162 

•26729 
•27333 
•27967 
•28633 
•29319 
•30024 
•30752 

•31477 
•32167 

•32852 

•33538 

•34257 

•35010 

•35810 

•36662 

•37586 

•38610 



6% 7% 



•35251 

•25974 
•21 179 

' ^17065 
•14857 

•13255 
•I 249 1 

•12*163 

•12117 

•12264 

•12558 
•12921 

•13277 
•13640 
•14013 

•14381 

•1471S 
•15026 

•15343 
•15677 

•16028 
•16402 
•16809 
•17240 
•17692 

•18174 
•18672 
•19198 

•19725 
•202 II 

•20642 
•21083 

•21547 
•22051 

•22594 

•23172 

•23783 
•244 11 

•25062 

•25736 

•26404 
•27038 
•27666 
•28294 

•28957 
•29653 
•30400 
•31204 
•32087 

•33077 



For explanation see pp. 27, 28 



•33421 

•24079 

19258 

•15097 
•12847 

•11198 
•10387 
•10007 
•09916 
•1002 1 

•10263 
•10577 
•10891 
•11211 
•11538 
•11859 
•12147 
•12408 
•12677 
•12958 

•13259 

•13579 
•13933 
•14312 
•14711 

•15136 
•15581 
•16052 
•16529 
•16962 

•17335 
•17714 

•18120 

•18564 

•19049 

•19565 
•20115 

•20684 
•21279 
•21894 

•22509 
•23085 
•23648 
•24210 
•24805 

•25440 
•26127 
•26873 
•27697 
•28639 



8 



•32015 
•22674 
•17867 
•13696 
•11430 

•09748 
•08904 
•08489 
•08363 
•08430 

•08637 
•08919 
•09193 

•09474 
•09763 

•10045 
•10289 
•105 II 
•10733 
•10970 

•11222 
•I 1496 
•I 1807 
•12141 
•12496 

•12874 
•13267 
•13689 
•14119 
•14504 
•14830 

•15155 
•15504 
•15889 
•16319 

•16778 
•17274 
•17793 

•18326 
•18889 

•19444 
•19963 
•20467 
•20971 
•21504 

•22074 
•22696 

•23378 
•24141 

•25030 



Age 



O 

I 
2 

3 
4 

5 
6 

7 
8 

9 

10 

II 

12 

13 
14 

15 
16 

17 
18 

19 
20 
21 
22 
23 
24 

25 
26 

% 

29 

30 
31 
32 

33 
34 

36 
37 
38 

39 

40 

41 
42 

43 
44 

46 

'4 

49 



(146) 



MORTALITY TABLES 



SINGLE PAYMENT TO SECTIEE £1 AT DEATH ACCORDING TO 
THE CARLISLE TABLE OF MORTALITY 



Age 

50 
51 
52 

53 

54 



57 
58 
59 

60 
61 
62 

63 
64 

% 

% 
69 
70 

71 
72 
73 
74 

76 

77 
78 
79 
80 
81 
82 

83 
84 

86 

87 
88 

89 

90 
91 
92 
93 
94 

96 
97 
98 
99 
100 



3% 



4% 



•55429 

•56509 

•57598 

•58699 
•59812 

•60948 
•62096 
•63260 

•64413 
•65512 

•66531 

•67436 
•68325 
•69222 
•70157 

•71112 
•72103 
•73122 
•74168 
•75246 

•76340 

•77465 

•78525 

•79483 
•80334 

•81033 
•81717 
•82352 
•82996 

•83713 

•84374 
•85090 

•85734 
•86392 

•87027 

•87682 
•88253 
•88719 
•89002 

•89325 
•89809 
•89861 
•89582 
•89261 
•891 18 

•89057 
•89212 

•89633 
•90132 

•90880 

•92185 



•46658 
•47824 
•49003 
•5021 1 
•51436 
•52694 

•53977 
•55286 

•56591 
•57833 

•58987 
•60007 
•61012 
•62033 
•63103 

•64203 

•65347 
•66539 
•67770 

•69043 

•70349 
•71701 

•72979 
•74136 
•75161 

•76004 
•76831 

•77597 
•78378 
•79256 

•80066 
•80950 

•81745 
•82561 

•83352 

■84173 
•84891 

•85477 

•85833 
•86242 

•86861 
•86929 
•86569 
•86156 
•85962 

•85868 
•86047 
•86569 
•87184 
•88127 

•89797 



5% 


6% 


7% 


8% 


Age 
50 


•39714 


•34164 


•29679 


•26022 


•40905 


•35347 


•30831 


•27126 


51 


•42124 


•36558 


•32015 


•28267 


52 


•43371 


•37804 


•33238 


•29459 


5,3 


•44648 


•39089 


•34507 


•30696 


54 


•45967 


•40431 


•35842 


•32007 


55 


•47319 


•41812 


•37229 


•33370 


56 


•48710 


•43243 


•38668 


•34800 


57 


•50105 


•44687 


•401 2 1 


•36252 


58 


•51433 


•46062 


•41514 


•37644 


59 


•52667 


•47336 


•42803 


•38926 


60 


•53752 


•48445 


•43922 


•40036 


61 


•54824 


•49549 


•45027 


•41 133 


62 


•55914 


•50676 


•46165 


•42259 


63 


•57067 


•51875- 


•47389 


•43481 


64 


•58262 


•53126 


•48664 


•44763 


% 


•59510 


•54440 


•50012 


•46133 


•60824 


•55832 


•51451 


•47593 


?z 


•62186 


i ^57287 


•52969 


•49141 


68 


•63605 


•58809 


•54565 


•50793 


69 


•65067 


•60389 


•56234 


•52519 


70 


•66595 


•62053 


•58000 


•54371 


71 


•68043 


•63638 


•59687 


•56134 


72 


•69357 


•65075 


•61225 


•57748 


73 


•70524 


•66355 


•62586 


•59178 


74 


•71481 


1 ^67396 


•63698 


•60333 


75 


•72419 


■ ^6842 1 


•64791 


•61481 


76 


•73291 


•69377 


•65805 


•62548 


77 


•74181 


•70351 


•66851 


•63645 


78 


•75191 


•71472 


•68055 


•64919 


79 


•761 19 


•72502 


•69167 


•66096 


80 


•77148 


•73645 


•70410 


•67422 


81 


•78067 


•74675 


•71529 


•68615 


82 


•79019 


•75740 


.72693 


•69859 


83 


•79948 


•76781 


•73838 


•71089 


84 


•80910 


; ^77874 


•75042 


•72393 


55 


•81762 


1 -78836 


•76108 


•73548 


86 


•82452 


•79628 


•76978 


•74496 


SZ 


•82870 


1 •80101 


.77502 


•75067 


88 


•83357 


; ^80658 


•79078 


•75733 


89 


•84103 


i -81513 


•79196 


•76793 


90 


•84186 


81615 


•78634 


•76926 


91 


•83752 


' •81111 


•77973 


•7631 1 


92 


•83248 


•80528 


•77633 


•75578 


93 


•83005 


i ^80234 


•77512 


•75185 


94 


•82876 


1 ^80064 


•77424 


•74941 


?5 


•83071 


i ^80268 


•77626 


•75126 


96 


•83676 


•80936 


•78352 


•75904 


97 


•84391 


•81734 


.79216 


•76822 


98 


•85500 


•82996 


•80609 


•78326 


99 


•87505 


•85306 


•83193 


•81 163 


100 






I 



(147) 



MOETALITY TABLES 



V 



II 



r 






SINGLE PAYMENT TO SECUBE £1 AT DEATH ACCOEDING TO 
THE INSTITUTE OF ACTTJAEIES HEALTHY MALES TABLE 



Age 



lO 

II 
12 

13 
14 

15 
16 

17 
18 

19 

20 
21 
22 

23 

24 

^ 

28 
29 

30 
31 
32 

33 
34 

36 
37 
38 
39 

40 

41 
42 

43 
44 

46 

47 
48 

49 

50 
51 
52 
53 
54 



2*% 



•32361 
•32841 

•33396 
•34012 
•34672 

•35360 
•36060 

•36757 

•37433 
•38072 

•38671 

•39254 
•39830 
•40418 
•41030 

•41668 
•42328 
•43005 
•43691 
•44385 

•45086 

•45794 
•46516 

•47251 
•48002 

•48766 

•49543 
•50329 

•51125 
•51933 

•52755 
•53595 
•54457 
•55340 
•56236 

•57147 
•58064 

•58985 
•59910 
•60842 

•61782 
•62732 

•63695 
•64667 

•65645 



3% 



•26752 
•27198 
•27726 
•28320 
•28962 

•29637 
•30326 
•310J1 
•31677 
•32302 

•32886 

•33451 
•340 II 

•34584 
•35183 

•35812 
•36465 
•37139 
•37824 
•38518 

•39221 

•39934 
•40662 

•41407 

•42170 

•42950 

•43745 
•44553 
•45372 
•46207 

•47060 

•47935 
•48836 
•49762 
•50707 

•51669 
•52642 
•53621 
•54608 
•55605 

•56613 

•57635 
•58676 
•59729 
•60792 



3i% 



•22378 
•22783 
•23274 
•23836 
•24450 

•25099 
•25764 
•26427 
•27069 
•27670 

•28226 
•28763 
•29294 
•29839 

•30413 

•31019 
•31652 
•32307 

•32975 
•33653 

•34343 
•35044 
•35762 

•36499 
•37256 

•38033 
•38828 

•39637 
•40461 

•41303 
•42165 

•43054 

•43974 
.44921 

•45892 

•46884 

•47889 
•48904 

•49930 
•50970 

•52023 
•53096 
•54191 
•55303 
•56428 



4a 



o 



•18937 
•19299 
•19750 
•20276 
•20856 

•21473 
•22109 
•22742 

•23354 
•23924 

•24447 
•24950 

•25446 

•25957 
•26499 

•27074 
•27678 
•28306 
•28947 
•29600 

•30266 

•30943 
•31640 

•32357 
•33097 

•33858 
•34639 
•35437 
•36251 

•37086 

•37943 
•38831 
•39752 
•40706 
•41685 

•42690 
•43712 

•44745 
•45792 
•46856 

•47938 
•49043 
•50174 
•51327 
•52496 



41a 



2/0 



•16204 
•16524 
•16937 
•17425 
•17970 

•18553 
•19156 

•19758 
•20337 

•20873 

•21361 
•21827 
•22287 
•22761 
•23267 

•23808 

•24378 

•24973 

•25583 
•26205 

•26840 
•27488 
•28156 
•28847 
•29561 

•30299 
•31057 
•31834 
•32629 

•33446 

•34289 

•35164 
•36076 
•37023 

•37999 

•39004 
•40028 
•41067 
•42122 

•43197 

•44293 
•45416 

•46569 
•47748 
•48947 



For explanation see pp. 27, 28 



(148) 



5% 



•14015 
•14296 
•14670 
•15122 
•15632 

•16182 
•16752 
•17322 
•17869 
•18371 

•18823 

•19254 
•19676 
•20113 
•20582 

•21087 
•2 162 1 
•22182 
•22758 
•23346 

•23948 

•24563 
•25199 

•25858 

•26542 

•27251 
•27981 
•28731 
•29501 
•30294 

•31 1 14 
•31969 
•32863 

•33796 
•34760 

•35755 
•36772 
•37806 
•38858 
•39934 

•41033 
•42162 
•43326 
•44518 

•45735 



Age 



10 
II 
12 

13 
14 

15 
16 

19 

20 
21 
22 

23 
24 

25 
26 



29 

30 
31 
32 

33 
34 

35 
36 

P 

39 
40 

41 
42 

43 
44 

45 
46 

47 
48 

49 

50 
51 
52 
53 
54 



MOETALITY TABLES 



SINGLE PAYMENT TO SECUBE £1 AT DEATH ACCOBDING TO 
THE INSTITUTE OF ACTUABIES HEALTHY MALES TABLE 



Age 



57 
58 
59 

60 
61 
62 

63 
64 

% 

% 

69 

70 

71 
72 
73 

74 

79 

80 
81 
82 

83 
84 

u 
u 

89 

90 

91 
92 

93 
94 



2^ 



2 



% 



97 



•66627 
•67612 
•68597 

•69583 
•70568 

•71548 
•72522 

•73485 
•74437 
•75375 

•76302 
•77220 
•78132 
•79039 
•79948 

•80849 

•81734 

•82593 

•83415 
•84190 

•84919 
•85628 

•86313 
•86978 
•87628 

•88256 
•88850 

•89394 
•89899 

•90353 

•90778 
•91200 
•91645 
•92113 
•92659 

•93272 

•93899 
•94538 
•95224 
•95899 

•96542 
•97124 
•97561 



3% 



•61863 
•62939 
•64020 
•65103 
•66190 

•67274 

•68353 
•69424 

•70484 
•71532 

•72569 
•73600 
•74626 
•75650 
•76678 

•77700 
•78706 
•79685 
•80623 
•81510 

•82345 

•83159 
•83946 

•847 1 1 
•85461 

•86187 

•86874 
•87506 
•88090 
•88617 

•891 10 
•89601 
•901 18 
•90663 
•91 301 

•92020 

•92756 

•93508 

•94317 
•95116 

•95878 
•96568 
•97087 



3i 



a 



2 



o 



•57566 
•58712 
•59866 
•61026 
•62193 

•63361 
•64526 
•65685 
•66835 
•67974 

•69104 
•70230 

•71354 

•72478 
•73610 

•74738 
•75852 
•76937 
•77980 
•78967 

•79897 
•80806 
•81686 

•82543 
•83384 

•84200 

•84974 
•85686 

•86345 
•86940 

•87496 
•88050 
•88635 
•89252 

•89977 

•90796 
•91637 
•92498 
•93426 
•94344 

•95222 
•96018 
•96618 



O/ 



^o 



4i% 



•53682 
•54881 

•56090 

•57309 
•58539 

•59773 

•61007 
•62237 
•63461 

•64675 
•65883 

•67089 
•68297 
•69507 

•70729 

•71950 

•73159 

•74339 

•75475 
•76551 

•77567 
•78561 

•79525 
•80466 

•81392 

•82291 

•83145 
•83931 
•84659 
•85317 

•85932 

•86545 
•87194 
•87878 

•88686 

•89600 

•90541 
•91507 

•92549 
•93583 

•94575 
•95475 
•96154 



5% 



•50166 
•51401 
•52651 
•53915 
•55193 

•56478 
•57766 

•59053 
•60337 
•61613 

•62886 

•64159 

•65437 
•66721 

•68021 

•69323 
•70615 
•71879 
•73098 
•74254 

•75347 
•76418 

•77459 
•78476 
.79479 

•80455 
•81383 
•82238 
•83031 
•83747 

•84416 
•85084 

•85792 
•86541 

•87427 

•88432 
•89468 

•90534 
•91687 

•92834 

•93934 
•94933 
•95694 



Age 



•46975 

•48235 

•49513 
•50809 

•52122 

•53446 

•54777 
•56109 

•57441 
•58767 

•60092 
•61421 
•62758 I 
•64105 j 

•65473 i 

•66845 
•68210 

•69549 
•70841 
•72069 

•73231 
•74372 
•75482 
•76569 

•77643 

•78690 
•79686 
•80605 
•81458 
•82228 

•82948 
•83667 

•84430 
•85239 
•86198 

•87290 
•88417 

•89579 
•90840 

•92096 

•93304 
•94405 
•95238 



56 

57 
58 

59 

60 
61 
62 

63 
64 

65 
66 

67 
68 

69 
70 

71 
72 

73 
74 

7| 
76 

77 
78 
79 

80 
81 
82 

83 
84 

U 

87 
88 

89 

90 
91 
92 
93 
94 

95 
96 
97 



•i< 



(149) 



MORTALITY TABLES 






Ml 



'x 



ANNUAL PAYMENT DUBING LIFE TO SECURE £1 AT DEATH 

ACC0BDIN6 TO THE 
INSTITUTE OF ACTUARIES HEALTHY MALES TABLE 



Age 



10 
II 
12 

14 



30 
31 
32 
33 

34 

35 
36 
37 
38 
39 

40 

41 
42 

43 
44 

45 
46 

47 
48 

49 

50 
51 
52 
53 
54 



210/ 
2 / o 



•01 167 
•OU93 

•01233 

•01257 
■01295 



15 


•01334 


16 


•01376 


17 


•OI418 


18 


■01459 


19 


•01499 


20 


•0153^ 


21 


•01576 


22 


•OI615 


23 


•01655 


24 


01697 


25 


•01742 


26 


•01790 


27 


•01840 


28 


•01893 


29 


•01947 



•02003 
•02061 

•02I2I 
•02185 
•02252 

•02322 
•02395 
•0247 1 
•02551 
•02635 

•02723 
•02817 
•02917 
•03022 
•03134 
•03253 

•03377 
•03508 

•03645 
•03790 

•03943 
•04106 
•04279 
•04464 
•04661 



3 0/ 
/o 



•01064 

•01088 

•01 1 17 
•01 1 51 

•01 188 

•01227 
•01268 
•01309 

•01350 
•01390 

•01427 
•01464 
'OI50I 
•01540 

•OI58I 

•01625 
•01672 
•OI72I 
•01772 
•01825 

•01880 
•01936 

•01996 
•02058 
•02124 

•02193 
•02265 
•02340 
•02419 
•02502 

•02589 
•02682 
•02780 

•02885 

•02996 

•031 14 

•03238 

•03367 
•03504 
•03648 

•03801 

•03963 
•04136 

•04320 

•04516 



02 /o 



•00975 

•00998 
•01026 
•01058 
•01094 

•01 133 

•01 174 
•OI2I5 

•01255 

•01294 

•01330 
•01365 

•0140 1 
•01438 
•01478 

•01 52 1 
•01566 
•OI6I4 
•01664 

•OI7I5 

•01769 
•01824 

•01883 
•01944 

•02008 

•02076 
•02146 
•02221 
•02298 
•02380 

•02465 

•02557 

•02654 
•02758 
•02868 

•02985 
•03108 

•03237 
•03372 

•03515 

•03667 
•03828 

•04000 
•04184 

•04379 



For explanation see pp. 27, 28 



4% 



•00899 
•00920 
■00947 
•0097^ 
•01014 

•01052 
•01092 
•01 132 
•01 1 72 
•01210 

•01245 
•01279 
•01313 
•01348 
•01387 

•61428 
•01472 
•01519 
•01567 
•01617 

•01669 
•01723 
•01780 
•01840 
•01903 

•01969 
•02038 
•021 1 1 
•02187 
•02267 

•02352 
•02442 
•02538 
•02640 
•02749 

•02865 
•02987 
•031 15 

•03249 
•03391 

•03542 
•03702 

•03873 
•04056 

•04250 



(i5<^ 



4i% 5% 



•00833 
•00852 
•00878 
•00909 
•00943 

•00981 
•01020 
•01060 
•01099 
•01 1 36 

•01 1 70 
•01202 
•01235 
•01269 
•01306 

•01346 
•01388 

•01433 
•01480 

•01529 

•01580 
•01632 
•01688 
•01746 
•01807 

•01872 
•01940 
•0201 1 
•02086 
•02164 

•02247 
•02336 
•02430 
•02532 
•02639 

•02754 
•02874 
•03001 

•03134 
•03275 

•03424 

•03583 

•03753 

•03935 
•04129 



•00776 
•00794 
•00819 
•00848 
•00882 

•00919 
•00958 
•00998 
•01036 
•01072 

•01 104 

'Oil 35 
•01 166 
•01 199 

•01234 

•01272 
•OI3I4 

•01357 

•01403 

•01450 
•01499 

•01550 
•01604 
•OI66I 
•OI72I 

•01784 
•01850 
•01920 

•01993 

•02069 

•021 5 1 
•02238 
•02331 
•02431 
•02537 

•02650 
•02769 
•02895 
•03026 
•03166 

•03314 

•03471 
•03640 
•03821 
•04013 



Age 



10 
II 
12 

13 
14 

IS 
16 

;i 

19 

20 
21 
22 

23 

24 

26 

27 
28 
29 

30 

31 
32 

33 

34 



37 
38 
39 

40 

41 
42 

43 
44 

46 

47 
48 

49 

50 
51 
52 
53 
54 



MORTALITY TABLES 



ANNUAL PAYMENT DURING LIFE TO SECUBE £1 AT DEATH 

ACCOBDINO TO THE 
INSTITUTE OF ACTUABIES HEALTHY MALES TABLE 



Age 



2i% 



55 
56 
57 

59 

60 
61 
62 

63 

64 

65 

66 

68 ! 

69 ! 

70 

71 
72 
73 
74 

77 
78 
79 

80 
81 
82 

83 
84 

85 
86 

87 
88 

89 

90 

91 
92 

93 
94 

95 
96 
97 



•04870 
•05092 
•05328 
•05580 
•05848 

•06134 
•06437 
•06760 
•07102 
•07466 

•07853 
•08268 

•08714 

•09197 

•09725 

•10297 
•10914 
•11572 
•12267 
•12988 

•13734 

•14532 
•15382 

•1629 1 
•17275 
•18329 

•19435 
•20559 
•21707 
•22844 

•24009 
•25279 

•26755 
•28485 
•30786 

•33813 
•37537 
•42217 
•48624 

•57035 

•68105 
•82364 
•97561 



3% 



•04725 
•04946 
•05182 

•05434 
•05702 

•05987 
•06291 
•06613 
•06956 
•07319 

•07705 
•08120 
•08566 
•09049 
•09576 

•10148 
•10766 
•I 1425 
•12119 
•12840 

•13585 
•14382 
•15230 
•16138 
•17121 

•18174 
•19277 
•20399 

•21543 
•22676 

•23834 
•25096 
•26563 
•28282 
•30570 

•33585 
•37294 
•41954 
•48338 
•56719 

•67748 
•81954 
•97087 



3i% 



0/ 



•04588 

•04809 

•05044 
•05295 

•05563 
•05848 

•061 5 1 

•06473 
•06815 

•07177 

•07564 
•07978 
•08423 
•08906 

•09433 

•10005 
•10622 
•11281 
•I 1976 
•12696 

•13440 
•14236 
•15083 
•15989 
■16970 

•18022 
•19123 
•20242 

•21383 
•22510 

•23662 
•24916 

•26373 
•28081 

•30358 

•33360 

•37053 
•41694 

•48055 
•56405 

•67394 
•81546 
•96618 



'o 



41 a 



2 /o 



•04458 
•04678 

•04913 
•05163 

•05431 
•05715 

•06018 

•06339 
•06680 

•07042 

•07427 
•07841 
•08286 
•08767 
•09294 

•09866 
•10483 
•I 1 142 

•I 1836 
•12556 

•13299 

•14094 

•14939 

•15843 
•16823 

•17873 

•18972 
•20089 
•21225 

•22348 

•23493 

•24739 
•26187 

•27884 

•30149 

•33138 
•36816 

•41438 
•47776 

•56095 
•67044 

•81 144 

•96154 



5% 



•04335 

•04555 
•04788 

•05038 

•05304 

•05588 
•05890 
•062 1 1 
•06551 
•06912 

•07296 
•07709 
•08153 
•08634 
•09160 

•09731 
•10348 
•I 1007 
•11701 
•12420 

•13161 

•13954 
•14798 
•I 5701 
•16679 

•17727 
•18824 
•19938 
•21071 
•22189 

•23327 

•24565 
•26003 

•27689 
•29943 
.32919 
•36582 
•41 185 

•47499 
•55789 

•66696 
•80742 
•95694 



Age 



•04219 

•04437 
•04670 
•04918 
•05184 

•05467 
•05768 

•06087 
•06427 
•06787 

•07170 
•07581 
•08025 
•08504 
•09030 

•09601 
•IO218 
•I1876 
•II569 
•12287 

•13027 
•13819 
•14660 

•15561 
•16538 

•17584 
•18679 
•19790 
•20920 
•22032 

•23163 

•24393 
•25823 

•27498 
•29740 

•32703 
•36351 

•40935 
•47226 

•55486 

•66354 
•80350 
•95238 



56 

57 
58 
59 

60 
61 
62 

63 
64 

65 
66 

67 
68 

69 
70 

71 
72 
73 
74 



77 
78 
79 

80 
81 
82 

83 
84 

^§ 
86 

87 
88 

89 

90 

91 
92 
93 
94 

% 

97 



i 



I 



;i 



(151) 



r '■. 



MORTALITY TABLES 



PKESENT VALUE OF BEVEBSIOIT TO A PEEPETUITY AT DEATH OP 
A PEESON OP AGE STATED. GOVERNMENT EXPERIENCE, 1883 

MALES 



Age 



20 
25 

30 

35 
40 

41 
42 
43 
44 
45 

46 

47 
48 

49 
50 

51 
52 
53 
54 
55 

56 
57 
58 

59 
60 

61 
62 

63 
64 

65 

66 

67 
68 

69 
70 

71 
72 

73 
74 
75 

76 
77 
78 

79 
80 



2^ o^ 
2 /o 

17-566 
I87I8 

19-921 
21-178 
22 '499 

22-773 
23-050 

23-330 
23-613 
23-901 

24-193 
24-489 
24-791 
25-100 
25-412 

25732 
26-059 
26-392 

26733 
27-081 

27-437 
27 -802 
28-177 
28-561 
28-946 

29-322 
29-686 
30-052 
30-414 
30-775 

31-125 

31-467 
31-804 
32-142 

3^-479 
32-809 
33-136 
■33-454 
33-755 
34-045 

34-328 

34-596 

34-855 
35-109 

35 '353 



3% 



12-772 
13-732 

14-745 
15-818 
16-957 

17-195 

17-436 
17-680 
17-929 
18-181 

18-438 
18-700 
18-967 
19-242 
19-520 

19-807 
20-100 
20*400 
20-708 
21-024 

21-347 
21 -680 
22-023 
22-377 
22-732 

23-079 

23-417 
23-756 
24-094 

24-431 

24-760 
25-081 

25-397 
25-716 
26-034 

26-347 
26-658 

26-960 

27-247 

27-524 

27-795 
28-052 

28-300 

28-545 
28-780 



For explanation see p. 28 



3i% 



9635 
0-441 
1-300 

2-2l8 
3-206 

3413 
3-624 
3-838 

4-057 
4-279 

4-506 

4-738 
4-976 
5-220 
5-468 

5-726 
5-989 

6 260 

6-539 

6-825 

7-120 
7-425 
7-739 

8-393 

8-714 
9-028 

9-343 
9-658 

9-974 

20-282 
20-584 
20-882 
2i*i83 
21-484 

21-781 
22 -076 
22363 
22-637 
22-902 

23*161 

23408 
23-646 
23-882 
24*108 



4% 



0-546 

0-727 
0-912 

I-IOI 

1-293 
1-490 

1-691 

1-897 

2*109 

2*'327 

2-550 

2*781 
3-018 
3-263 
3-516 
3-776 

4-045 
4-324 
4-613 
4-914 
5-217 

5-515 
5-806 

6-100 

6*395 
6-691 

6-980 
7-264 

7-545 
7*829 
8*114 

8*396 
8*677 
8-950 

9*212 
9-465 
9*714 

9-950 
20*179 
20-406 
20-624 



5% 



7*117 

7257 
7-401 

7*549 
7-700 

7-855 

8-014 

8-178 

8-347 

8-523 
8-702 

8-890 
9 084 
9-286 

9-494 
9-711 

9 937 
0-172 

0*417 

0*674 

0935 

1*192 
1-444 
1-700 
1-959 
2*219 

2-475 
2*727 

2-977 
3*232 
3*488 

3-743 
3-997 
4*246 

4-485 
4*717 

4-946 
5-164 
5376 
5-587 
5*790 



Age 



20 

25 
30 

35 
40 

41 
42 

43 
44 
45 

46 

47 
48 
49 
SO 

51 
52 
53 
54 
55 

56 
57 
58 

60 

61 
62 

63 

64 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

77 
78 

79 
80 



(152) 



MORTALITY TABLES 



PRESENT VALUE OF REVERSION TO A PERPETUITY AT DEATH OF 
A PERSON OF AGE STATED. GOVERNMENT EXPERIENCE, 1883 

FEMALES 



Age 



20 

25 
30 

35 
40 

41 
42 

43 
44 
45 

46 

47 
48 
49 
50 

51 
52 
53 
54 
55 

56 
57 
58 

60 

61 
62 

64 

65 

66 

67 
68 

69 
70 

71 
72 

73 
74 
75 

76 



2i9 



o 



15-521 

16-603 

17-777 

19-061 
20-477 

20-777 
21-085 

21-399 

21-721 

22 -050 

22-388 

22-734 
23-089 

23-448 
23-810 

24-169 

24-535 
24909 

25-288 

25-671 

26-064 
26-462 
26-862 
27-265 
27-667 

28-075 

28-477 
28-880 

29-287 

29-704 

30-120 

30-537 
30-948 

31 350 
31740 

32-107 
32-461 
32-804 

33-137 
33-463 

33-780 
34-089 
34-387 
34-677 
34-956 



a 



o 



1 1 -041 
11-918 
12-882 

13-953 
15-153 

15-411 
15-676 

15-947 
16-226 

16-513 

16-808 
17-112 

17-423 
17-741 
18-063 

18*382 
18-707 
19-041 
19-382 
19-726 

20-081 

20-443 
20-806 

21-173 
21*542 

21-916 
22-287 
22-659 
23-036 

23-424 

23-812 
24-202 
24-588 
24*966 

25-333 

25-679 
26-014 

26-339 
26-655 
26-967 

27-269 
27-564 
27-850 
28-128 
28*396 



3i 



2 /O 



8-1^2 
8-876 

9673 
10-570 

11-591 

11*813 
12-042 
12-277 
12-520 
12-770 

1 3 -028 

13-295 
13-571 
13-852 
14-137 

14*422 
14*712 
15-013 

15-319 
15-629 

15-951 
16*279 

16-61 1 
16-946 
17*284 

17-628 
17-970 
18-314 
18-664 
19-025 

19-388 

19-753 
20-115 
20-471 
20-817 

21-145 
21*461 
21*770 
22-071 
22-367 

22-656 
22-938 
23-212 

23-479 
.23-737 



a 



o 



9-096 

9-288 
9-486 
9-690 
9-902 
10*121 

10*348 
10-584 
10-827 
1 1 -077 
II -331 

11-585 
11-845 
12115 
12-391 
12-672 

12-964 
13*262 

13-565 
13-872 

14*182 

14*500 

14*815 
15134 
15-459 
15-796 

16*135 
16*477 
16-818 

17*153 
17-480 

17*790 
18-090 
18-383 
18-669 
18-952 

19-227 
19*498 
19-760 
20-017 
20-265 



5% 



5-937 

6080 
6*231 
6-387 
6-549 
6-719 

6-895 
7 080 

7-273 
7-472 
7-675 

7-879 
8-089 
8-308 

8-533 
8-764 

9*006 

9-255 
9-508 

9-767 
10*029 

10*300 

10*571 
10-845 
11-127 
11*421 

11*718 
1 2 -020 
12-322 
12-621 
12-913 

13*191 
13-461 
13-726 
13-986 

14*243 
14-496 
14-744 

14-985 
15*223 

15-453 



Age 



20 

25 
30 

35 
40 

41 
42 
43 
44 
45 

46 

47 
48 

49 
50 

51 

52 

53 
54 
55 

56 



59 
60 

61 
62 

63 
64 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

78 

79 
80 



II 



^1 






(153) 



i 



n: 



MORTALITY TABLES 



! 



Present Value of Eeversion to a Perpetuity at Death of a Person of 

Age stated. 

NORTHAMPTOH TABLE 



Age 



5 

lO 

15 
20 

25 

30 

35 
40 

45 
50 

55 
60 

65 

70 

75 
?o 

85 
90 

95 



Age 



5 
10 

15 
20 

25 

30 

35 
40 

45 
50 

60 

65 
70 

75 

80 

85 
90 

95 



3% 



1 2 -860 
12-670 
13-676 
14-695 
15-519 
16-411 

17*395 
18-485 

19-641 

20-897 

22-183 

23556 
25 -029 
26-599 
28-134 

29-552 
30-713 
31-539 
33-091 



3% 



9-640 

9-821 

10-751 

11-639 

12-668 

13-777 
14-900 
16-190 
17-470 
19030 

20-925 
22 -842 
24-416 
26-210 
27-821 

28-968 
30104 
30-834 
30576 



4% 



7-752 

7-477 
8-209 

8-967 
9-562 

10-219 
10-961 
11-803 
12-717 
13-736 

14-799 
15-961 
17-239 
18-639 
20-038 

21-357 
22-457 

23-242 

24-760 



5% 

5-173 
4-861 

5-412 

5-993 

6433 

6928 

7498 
8-163 

8-895 

9-731 

10-618 
11-608 
12-724 

13-977 
15-256 

16-485 
17-529 
18-277 
19-762 



CABLISLE TABLE 



4% 



5% 



5-406 

5-415 
6-044 

6*637 

7-355 

8-148 

8-959 

9 926 

10-896 

12-131 

13-700 

15-337 
16-693 

18-291 

19-761 

20-817 
21-885 
22-584 
22 -326 



3-410 

3-331 
3-773 
4183 
4-697 

5-277 

5-873 
6-610 

7*352 
8-340 

9653 
11-060 
12-235 
13664 
15-011 

15-985 
16-991 

17-661 

17-404 



For explanation see p. 28 



(154) 



6% 



3*705 
3*382 
3-810 
4-269 
4*604 

4*985 

5-431 
5-962 

6*557 
7-250 

7*997 

8-847 

9-826 

10-951 

12*125 

13-273 
14-265 
14-978 
16-431 



6% 



2*342 
2-219 

2*541 
2-832 
3-211 

3-647 
4-094 

4*665 

5*239 
6-036 

7*143 

8*363 

9*386 

10-669 

11-907 

12-809 

13*758 
14-401 

14*145 



Age 



5 
10 

15 
20 

25 

30 

35 
40 

45 
50 

65 
70 

75 
80 

85 
90 

95 



Age 



5 
10 

15 
20 

25 

30 

35 
40 

45 
50 

55 
60 

65 
70 

75 
80 

85 
90 

95 



TABLES 

COMBINING 



MORTALITY OF TWO AND THREE LIVES 



AND 



INTEREST 



PREMIUM CONVERSION TABLES 









For explanation see pp. 29-39 



(155) 



MORTALITY TABLES— TWO LIVES 



I 



I 



i 



Value of 


an Anniiity for the Joint Continuance of Two Lives according to 






the NORTHAMPTON TABLE 






Ages 


3% 

15*220 


4% 


5% 


Ages 


3% 


4% 


5% 


15 15 


13-41 1 


1 1 -964 


35 45 


10-622 


9-706 


8-921 


IS 20 


14-660 


12-961 


11-585 


35 50 


9-912 


9-110 


8-415 


1525 


14-230 


12-630 


1 1 •3?4 


35 55 


9131 


8-448 


7-849 


15 30 


13-734 


1 2 -246 


1 1 -021 


35 60 


8-227 


7-669 


7-174 


15 35 


13-151 


1 1 -787 


10-655 


3565 


7-177 


6-747 


6-360 


1540 


12-459 


1 1 -234 


10-205 


35 70 


5-971 


5-663 


5-382 


1545 


1 1 -687 


10-607 


9-690 


35 75 


4-720 


4*516 


4-327 


1550 


10-799 


9-872 


9-076 


3580 


3-506 


3-383 


3-268 


15 55 


9-851 


9-077 


8-403 


40 40 


10-764 


9-820 


9-016 


15 60 


8-790 


8-170 


7-622 


40 45 


10-236 


9-381 


8-643 


15 65 


7-597 


7-127 


6-705 


40 50 


9-590 


8-834 


8-177 


1570 


6-264 


5-933 


5-631 


4055 


9-870 


8-221 


7-651 


1575 


4-911 


4695 


4-495 


40 00 


8-025 


7-490 


7-015 


15 80 


3-621 


3-492 


3-372 


40 65 


7-030 


6-614 


6-240 


20 20 


14-133 


12-535 


11-232 


40 70 


5-871 


5-571 


5-298 


20 25 


13-741 


12-229 


10-989 


40 75 


4-656 


4-457 


4-272 . 


20 30 


13-286 


11-873 


10-707 


40 80 


3469 


3-349 


3-236 


2035 


12-744 


11-445 


10-363 


45 45 


9-776 


8-990 


8-312 


20 40 


12-096 


10-924 


9*937 


45 50 


9-204 


8*503 


7-891 


2045 


11-367 


10-330 


9-448 


4555 


8-557 


7-948 


7-411 


20 50 


10-523 


9-630 


8-861 


45 60 


7-781 


7-274 


6-822 


2055 


9-617 


8-869 


8-216 


4565 


6-850 


6-453 


6-094 


20 60 


8-597 


7-995 


7-463 


45 70. 


5-749 


5-460 


5-195 


20 65 


7 '444 


6-986 


6-576 


45 75 


4-580 


4-386 


4-206 


20 70 


6-149 


5-826 


5-532 


I 4580 


3-426 


3-308 


3-197 


2075 


4-831 


4-619 


4-424 


1 50 50 


8-714 


8-081 


7-522 


20 80 


3-569 


3-443 


3-325 


; 5055 


8-152 


7-593 


7-098 


25 25 


13-383 


11-944 


10-764 


5060 


7-461 


6-989 


6-568 


25 30 


12-966 


1 1 -618 


10-499 


50 65 


6-61 1 


6-236 


5-897 


25 35 


12-463 


11-217 


10-175 


50 70 


5-582 


5-306 


5-054 


25 40 


11-854 


10-725 


9-771 


5075 


4*472 


4-285 


4-112 


25 45 


11-164 


io-i6o 


9304 


50 80 


3-362 


3-247 


3-140 


25 50 


10-356 


9-488 


8-739 


55 55, 


7-681 


7-179 


6-735 


2555 


9-484 


8-754 


8-116 


5560^ 


7-088 


6-659 


6-272 


25 60 


8-495 


7-906 


7-383 


5565 


6*334 


5-986 


5-671 


25 6s 


7-370 


6-920 


6-515 


55 70 


5-391 


5-132 


4*893 


25 70 


6-099 


5-780 


5489 


55 75 


4*350 


4-171 


4-006 


25 75 


4-799 


4-589 


4-396 


55 80 


3-291 


3-180 


3-076 


25 80 


3-550 


3-425 


3-308 


60 60 


6606 


6-226 


5-888 


30 30 


12-589 


11-313 


10-255 


60 65 


5*970 


5-658 


5-372 


30 35 


12-131 


10-948 


9*954 


1 60 70 


5*139 


4-900 


4-580 


30 40 


1 1 -568 


10-490 


9*576 


! 60 75 


4-189 


4-021 


3-866 


30 45 


10-923 


9*959 


9*135 


! 60 80 


3-197 


3-092 


2-992 


30 50 


10-160 


9-321 


8-596 


' 6565 


5*471 


5-201 


4-960 


30 55 


9-329 


8-619 


7*999 


65 70 


4*783 


4-573 


4-378 


30 60 


8-378 


7-802 


7292 


65 75 


3*958 


3 -806 


3*665 


30 65 


7-286 


6-844 


6-447 


6580 


3*063 


2-965 


2*873 


30 70 


6-043 


5-729 


5*442 


70 70 


4-261 


4-087 


3*930 


3075 


4-764 


4'557 


4*365 


70 75 


3*599 


3*471 


3*347 


3080 


3-530 


3-406 


3*290 


70 80 


2-843 


2-757 


2-675 


35 35 


11-722 


IO-6l2 


9-680 


7575 


3*114 


3-015 


2-917 


35 40 


1 1 -213 


10-196 


9*331 


7580 


2-526 


2-448 


2-381 



For explanation see pp. 29-31 



(1 56) 



MORTALITY TABLES— TWO LIVES 



Value of an Annuity for the 

the 



Joint Continuance of Two Lives according to 
CABLISLE TABLE 



Ages 



3% 



5 
10 

15 
20 

25 
30 
35 
40 
45 
50 

55 
60 

65 
70 
75 
80 

85 
90 
95 
5 100 

10 10 

10 15 

10 20 

10 25 

10 30 

10 35 
10 40 

10 45 

10 so 

10 55 

10 60 

10 65 

10 70 

10 75 
10 80 



5 
5 
5 
5 
5 

5 
5 
5 
5 
5 
5 
5 
5 
5 
5 

5 
5 
5 
5 



10 


85 


10 


90 


10 


95 


10 


100 


15 


IS 


15 


20 


15 


25 


15 


30 


15 


35 


15 


40 


15 


45 


15 


50 


15 


§5 


15 


60 


IS 


65 



Ages 



IS 70 

15 75 
IS 80 



19-815 

19*873 
19-288 

18-723 

18-016 

17-218 
16-390 

15-391 
14-381 
13-092 

1 1 -463 

9-773 
8-372 

6-737 
5-244 

4-175 
3-102 

2-405 
2-658 

1-637 

19-964 
19-409 
18-872 
18-189 
17-410 
16-596 

15*605 
14-601 
13-309 
1 1 -667 

9*957 
8-537 
6-874 

5-353 
4-262 

3-167 

2-454 

2-714 

1-668 

18-908 

18-423 

17-793 
17-064 
16-295 
15-348 
14-382 

13-131 
11*528 

9-852 

8-458 

6-818 

5*314 

4-235 



3% 



15 8S 

15 90 

15 95 
15 100 

20 20 

20 2S 
20 30 

20 35 

20 40 

20 4S 

20 50 
20 SS 
20 60 

20 6s 

20 70 

20 75 

20 80 

20 8S 
i 20 90 
j 20 9S 

20 100 

25 25 
25 30 

25 35 
25 40 



25 


45 


25 


50 


25 


55 


25 


60 


25 


65 


25 


70 


25 


75 


25 


80 


25 


85 


25 


90 



25 95 

2S 100 

30 30 
30 35 
30 40 



30 


45 


30 


50 


30 


55 


30 


60 


30 


65 


30 


70 


30 


75 


30 


80 


30 


85 


30 


90 



Ages 



% 



30 95 
30 100 

35 35 



3-149 

2-441 

2-699 

1-663 

17-992 

1 7 -420 
16-748 
16-031 
15-131 
14-207 

12-995 
1 1 -428 
9-782 
8-41 1 
6-790 
5-298 
4-225 

3-143 
2-437 
2-696 

I -661 

16-915 
16-311 

1 5 -660 
14-823 

13-954 
12-793 
1 1 -274 
9-668 
8-329 
6-736 

5-263 
4-203 

3-130 
2-428 

2-688 
1-660 

15*783 
15-209 

14*449 

13*649 

12-551 
11-089 

9*529 
8-224 

6-662 
5-213 
4-168 
3-107 
2-411 
2-670 
1*651 
14-720 



35 
35 
35 
35 
35 

35 
35 
35 
35 
35 

35 
35 
35 
40 
40 

40 
40 
40 
40 

40 
40 
40 
40 
40 
40 



40 

45 

50 

55 
60 

65 
70 

75 
80 

85 

90 

95 
100 

40 
45 
50 

60 

65 
70 

75 
80 

85 
90 
95 



40 100 
45 45 



45 
45 
45 

45 
45 
45 
45 
45 

45 
45 



SO 

55 
60 

65 
70 

75 
80 

85 
90 

95 



45 100 
SO SO 



50 

50 
50 
50 
50 
50 

50 
SO 
50 



55 
60 

65 
70 

75 
80 

85 
90 
95 



Ages 



SO 100 
55 55 
55 60 
55 6s 



14-048 

13-331 

12-313 

10-919 

9-410 

8-140 
6-608 

5-179 
4-148 

3-095 
2-403 
2-663 
1-650 
13-482 
1 2 -869 

11-955 
10-658 

9-224 

8-006 

6-515 

5-115 
4-102 

3*065 
2-380 
2-639 

I -641 

12-371 

1 1 -580 

10-400 

9-063 

7-910 

6-465 
5-089 

4*087 
3*056 

2-375 

2-633 

1-637 

10-942 

9*924 
8-729 
7-691 

6-338 
5-022 

4*054 

3*040 

2-365 
2-629 

1-639 

9-103 

8-098 

7-219 



55 
55 
55 
55 
55 

55 
55 
60 

60 
60 

60 
60 
60 
60 
60 
60 

65 
65 
65 
65 

65 
65 
65 
65 
70 
70 
70 
70 
70 
70 

70 
75 
75 
75 
75 

75 

75 
80 

80 

80 

80 
80 

85 
85 
85 

85 
90 
90 
90 
95 

95 
100 



70 

80 

85 i 
90 I 

95 i 
100 I 

60 I 

65 
70 , 

75 i 
80 

85 
90 

95 
100 

65 
70 

75 
80 

85 
90 

95 
100 

70 

75 
80 

85 

90 

95 

100 

75 
80 

85 
90 

95 
100 

80 

85 
90 

95 
100 

85 

90 

95 

100 

90 

95 
100 

95 
100 
100 



3% 

6019 

4*813 
3*920 
2-961 

2-307 

2*575 
1-625 

7*295 
6-589 
5565 
4*497 

3*695 
2-812 

2199 

2-458 

1-577 
6 047 

5-193 
4-256 

3*542 
2-719 
2-131 
2-398 
1-555 
4-556 
3-804 
3-228 
2-522 
1-987 
2-248 

1-513 

3-231 
2-790 

2-217 

1-758 

1-993 
1-392 

2-459 

1-993 

1-589 

1-806 

I -316 

1-657 

1-335 
1-509 

1-170 
1-088 
1-217 

-979 
1-383 
1-072 

-991 






i\ 






'I 

\\ 1 

m 

*• I 

I 



For explanation see pp. 29-31 



(157) 



I 2 



I I 



t 



MORTAIilTY TABLES— TWO LIVES 



MORTALITY TABLES— TWO LIVES 



Value of an Annuity for the Joint Continuance of Two Lives 

according to the 
GOVERNMEITT EXPERIENCE TABLE, 1883 



Ages 



20 20 
20 25 
20 30 

20 35 
20 40 

2045 
20 50 

2055 
20 60 

20 65 

20 70 
2075 
20 80 
20 85 
20 90 

20 95 

25 25 
25 30 
2535 
25 40 

2545 
25 50 

25 55 
25 60 

25 65 

25 70 

25 75 
25 80 

25 85 
25 90 

2595 
30 30 
30 35 
30 40 
30 45 



TWO MALES 



2i° 



o 



30 50 


3055 


30 60 


30 65 


30 70 


30 75 


30 80 


30 85 


30 90 


30 95 



17-438 
16-847 

i6-i86 

15-445 
14-617 

13-687 
12-632 
11-409 

9*954 
8-204 

6-584 

5-Hi 

3-833 
2-786 

1-958 

1-125 
16-321 

15-724 
15-046 

14-277 

13-403 

12-399 

11-226 

9-817 

8-110 

6522 
5-102 
3 809 

2-773 
1-950 

1-122 
15-198 

14-593 
13-893 
13-083 

12-139 

1 1 -022 

9-665 

8-005 

6-452 

5-058 

3-783 
2758 
1-942 
I-II8 



3% 



16-239 
15-726 

15-151 
14-505 
13-778 

12-957 
12-014 

10-907 

9-569 

7-931 

6-399 
5-021 

3*759 
2*743 
1*933 

1*115 
15-265 
14-743 
14-149 
13-472 

12-697 

1 1 -799 

10-737 

9-441 

7-842 

6-340 

4-983 
3*737 
2-730 
1-926 

1-112 
14-279 

13-745 
13-126 

12-406 

1 1 560 

10-547 
9-298 

7-743 
6-273 

4-940 

3-711 
2-715 

1-918 

1-109 



3*% 



15*174 
14-727 
14-224 

13-658 
13-018 

12-289 

11-444 

10-441 

9-209 

7*673 

6-222 

4*905 
3-688 

2701 

1-910 

1*105 
14-322 
13-862 

13*339 
12-741 

12-052 

1 1 -247 

10-283 
9-089 

7-589 

6-165 
4-869 
3-666 
2-688 

1*903 
I -102 

13-451 
12-977 

1 2 -428 
11-786 

1 1 -026 

10-106 

8*954 

7-495 
6-IOI 

4-828 

3*641 
2-674 

1-895 
1-099 



TWO FEMALES 



Ages 



20 20 
20 25 
20 30 

20 35 
20 40 

2045 
20 50 

20 55 

20 60 
20 65 



25 45 
25 50 
25 55 



Z5 00 
25 65 


25 70 
25 75 
25 80 

2585 
2590 


2595 
30 30 
30 35 
30 40 

3045 


30 50 
30 55 
30 60 
30 65 
30 70 


30 75 
30 80 
3085 

30 90 



30 95 



For explanation see pp. 29-3 1 



(158) 



a-2 /o 



20 70 ! 


2075 


20 80 


20 85 


20 90 


20 95 


25 25 


25 30 


2535 


25 40 



19-906 

19-348 
18-675 

17-867 
16-905 

15*760 

14*394 
12-856 
1 1 -184 

9*335 

7*503 
5*742 
4-263 
3-002 
2-041 

1-266 
18-866 
18-271 

17*537 
16-641 

15*552 

14-233 

12-735 
11-096 

9-274 

7-462 

5-717 
4-248 

2-994 

2-037 

1-265 
17-763 
17-121 
16-310 
15-297 

14-042 

12-595 
10-996 

9-206 
7*418 

5-689 

4-232 

2-985 
2-032 

1-262 



3% 



18-384 

17-915 
17-347 

i6-66i 
15-835 

14*837 
13-625 

12-241 

10-714 

8-998 

7*275 
5*598 
4-177 

2-953 
2-015 

1*255 
17*505 
16-999 

16-373 
15-601 

14-650 

13-479 
12-129 

10-631 

8-940 

7*236 

5-574. 
4-163 

2-945 
2-01 1 

1-253 
16-564 
16-01 1 
15-309 
14-422 

13-306 

12-000 

10-538 

8-876 

7-194 

5*547- 
4-147 
2-937 
2-006 
I -25 1 



3i% 



17-047 
16-651 
16-169 

15*584 
14-872 

14-000 
12-922 
11-673 
10-276 
8-680 

7*058 
5-460 

4*093 
2-906 

1-990 

1-243 
16-300 
15-868 

15-332 
14-664 

13-831 
12-789 

11-570 

10-198 

8-625 

7-021 

5-437 
4-080 
2 899 
1-986 

1-241 

15-493 
15-016 

14-406 

13-627 

12-631 

11*451 
10-112 

8-565 
6-981 

5*412 
4*065 
2-890 
I -981 
1-239 



Value of an Annuity for the Joint Continuance of Two Lives 

according to the 
GOVERNMENT EXPERIENCE TABLE, 1883 



TWO MALES 



Ages 



35 35 
35 40 
35 45 
35 50 
35 55 

35 60 
35 65 
35 70 
35 75 
35 80 

3585 

35 90 

35 95 
40 40 

40 45 
40 50 

40 55 
40 60 
40 65 
40 70 

4075 
40 80 

40 85 

40 90 

40 95 

45 45 
45 50 
45 55 
45 60 
4565 

4570 

45 75 
4580 

4585 
45 90 

45 95 
50 50 
50 55 
50 60 
50 65 

50 70 

50 75 
50 80 
5085 
50 90 



2i9 



o 



Oy 



^O 



14-067 

13-449 
12-718 

11-845 

10-792 

9-494 

7-886 

6-373 
5-007 

3-753 

2-740 

1-932- 

1-114 

12-923 

12-285 

11*501 

10-529 

9*301 

7*753 
6-284 

4*951 
3*718 
2-720 
I -92 1 
i-iio 

11*753 
1 1 -079 
10-210 

i 9-074 
7-600 

I 6-184 
4-887 
3-680 
2-698 
1-909 

1*105 
10-532 

9-795 
8-781 

7*411 
6-064 

4*813 
3*636 
2-672 
1-895 



3i% 



13*277 
12-727 
12-074 
11-290 

10-334 

9-138 
7*630 
6197 
4-892 
3-682 

2-698 

1-909 

1-105 

12-254 

1 1 -681 

10-975 
10-090 

8-957 
7*504 
6-112 

4*837 
3*648 
2-679 
1-898 
i-ioo 

11-200 
10-589 

9*795 
8-744 
7-360 

6-016 
4*776 
3-611 
2-657 
1-886 

1-095 

10-088 

9-412 

8-471 
7-181 

5-902 

4-705 
3-568 
2-632 
1-872 



TWO FEMALES 



12-559 
12-068 

1 1 -483 

10-777 

9-907 

8-804 

7-389 
6-029 

4-781 

3-613 

2-657 

1-886 

1-095 

1 1 -642 

11-126 

10-487 
9-680 

8-634 
7-269 

5-948 

4-728 

3*581 
2-638 

1*875 
1-091 

10-689 

10-134 

9*407 

8-434 
7-132 

5-856 
4-669 

3-544 
2-617 
1*863 

I -086 

9*675 
9-053 
8-179 
6-963 

5*747 
4-601 

3*503 
2-592 

1-849 



Ages 



35 35 
35 40 
35 45 
35 50 
35 55 

35 60 
35 65- 
35 70 
35 75 
35 80 

3585 

35 90 

35 95 
40 40 

40 45 
40 50 

40 55 
40 63 

40 65 

40 70 

40 75 
40 80 
40 85 
40 90 

40 95 

45 45 
4550 

45 55 
45 60 
45 65 

4570 

45 75 
4580 

4585 
45 90 

45 95 
50 50 
50 55 
50 60 
50 65 

50 70 
50 75 
50 80 
5085 
50 90 



2*% 



16-582 
15-878 

14*965 
13-797 
12-420 

10-876 
9-127 

7-368 

5-659 
4-214 

2-975 
2-027 

1-260 

1 5 -296 

14-510 

13-459 
12-183 
10-716 
9-025 
7*306 

5*623 
4-194 
2-964 
2-021 
1*258 

13-869 
12-969 
1 1 -830 

10-477 
• 8-875 

I 7*217 
5-574 
4-168 

2-951 
2-014 

1*255 
12-245 

1 1 -284 

10-092 

8-622 

7-061 

5-484 
4-119 
2-926 
2-003 



3% 

15-543 
14-929 

14-127 

13-084 

11-841 

10-427 

8-8oi 
7-146 
5*518 
4-130 

2-927 

2-001 

1-248 

14-418 

13721 

12-781 
1 1 -623 
10-279 
•8-706 
7-088 

5*484 
4-110 

2-917 

1-995 
1-246 

i3*H9 
12-338 

1 1 -302 

10-059 

8-565 

7*003 

5*437 
4*085 
2-904 
1-989 

1*243 
11-680 

10-801 

9-701 

8-328 

6-856 

5*351 
4-037 
2-880 

1-978 



34 



O/ 



^i) 



14-608 
14-071 

13-363 
12-431 

1 1 -304 

io-oo8 

8*495 
6 936 

5-383 
4-048 

2-881 
1-976 

1-237 
13-619 
13-001 

12-156 

11-105 

9-871 

8-406 

6 -880 

5*351 
4-029 

2-871 

1-971 

1-235 

12-489 

11-757 

IO-8l2 

9-667 
8-274 

6-801 
5-306 
4-005 
2-858 
1-964 

1-232 
11-157 
10-351 

9*335 
8-052 

6-660 
5-223 
3 959 
2-835 
1-953 



H 



n 



(159) 



i 



IM 






m 



MORTALITY TABLES— TWO LIVES 



Value of an Annuity for the Joint Continuance of Two Lives 

according to the 
GOVEfiNMENT EXFEBIENCE TABLE, 1883 



Ages 



5095 

55 55 
55 60 
55 65 
55 70 

55 75 
55 80 
5585 
55 90 
55 95 

60 60 
60 65 
60 70 
60 75 
60 80 

60 85 
60 90 
60 95 

6565 
65 70 

65 75 
65 80 

6585 
65 90 

65 95 

70 70 

70 75 
70 80 
7085 
70 90 

70 95 
75 75 
75 80 
7585 
75 90 

75 95 
80 80 

80 85 

80 90 

80 95 

8585 

85 90 

8595 
90 90 

90 95 
95 95 



TWO MALES 



21 



O/ 



'o 



1-099 
9-212 

8-361 

7-138 
5-898 

4-717 

3-582 

2-642 

1-879 
1-093 

7-705 
6-685 
5-608 
4-546 
3-491 

2-596 

I -857 

1-085 

5 -91 1 
5-0^ 

4-175 
3-262 

2-463 
1-786 
1-058 

4-407 

3-719 
2-963 
2-276 
1-676 

I -on 

3-215 

2-625 
2-063 

I -551 
-958 

2*199 

1-773 
1-367 

•872 
1-469 

I -164 

•772 

•949 
•655 
•485 



O/ 



'X> 



1-090 

8-873 
8 -080 
6-925 

5*744 

4-612 
3-516 
2-603 
1-856 
1-083 

7-465 
6-497 
5-468 
4-429 
3-428 

2-558 

1-835 
1-076 

5-759 
4-936 

4-091 
3-206 
2-428 
1-765 
1-049 

4-314 

3-649 
2-915 

2-245 

1-657 

I -002 
3-161 
2-586 
2-036 

1*534 

•950 
2-169 
1-752 

1-353 
•865 

1-453 

1-153 
-766 

-941 

•651 

-482 



3i 



O/ 



''O 



I -080 

8-555 
7-814 
6-722 

5-597 

4-512 

. 3-453 
2-564 

1-834 
1-074 

7-238 
6-319 

5*335 
4*356 
3-367 

2-520 

1*813 
1-066 

5-614 
-4-825 

4-010 

3*152 

2-394 

1-745 
1-041 

4-225 
3-582 
2-869 
2-215 
1-638 

*994 
3*io8 

2-548 

2-010 

1-518 

•942 
2-141 

1-732 

1-340 

•858 

1*438 

1*143 
•760 

•932 
-646 

•478 



60 60 
60 65 
60 70 

6075 
60 80 

60 85 
60 90 
60 95 
6565 
65 70 

6575 
65 80 

6585 
65 90 

65 95 

70 70 

70 75 
70 80 
7085 
70 90 

7095 
75 75 
75 80 
7585 
75 90 

75 95 
80 80 

80 85 

80 90 

80 95 

8585 

85 90 

8595 
90 90 

90 95 
95 95 



For explanation see pp. 29-31 



(160) 



TWO FEMALES 


Ages 


2i% 


3% 


5095 

55 55 
5560 

55 65 
55 70 


1-250 
10-523 

9-534 
8-245 
6-824 


1-239 
10-100 
9-182 

7-974 
6630 



55 75 


5-343 


55 80 


4-038 


5585 


2-882 1 


55 90 


1-979 


55 95 


1-239 



8-771 

7-710 
6-481 

5-143 
3-929 

2-826 
1-952 

1-229 
6-910 

5-927 
4-793 

3-722 
2-713 

1-893 

1-203 
5-206 

4-313 
3*427 
2-549 

i-8o6 

1-165 
3-671 

2-997 
2-287 

1-657 

1-094 

2-523 
1-985 

1-478 
1-004 

I -617 
1-243 

■877 
-988 

•725 
•557 



5-216 

3-959 
2-837 

1-954 
1-228 

I 8-471 
L 7-472 
p 6-306 

I 5-025 
3-854 

2-783 
1-928 
1-217 
6713. 

5*777 

4-688 

3*654 
2-673 
1-870 
1-192 

5-086 
4-226 

3-367 
2-512 

1-785 

I -154 
3-604 
2-949 
2-256 
1-639 

1-084 
2-486 
1-960 
1-462 

-995 

1-599 
I -231 

-870 
-979 

-719 

*554 



3* 



O/ 



^o 



1-228 

9-704 
8-852 
7-718 

6-446 

5094 

3-883 

2-793 
1-930 

1-217 

8-187 

7-245 
6-138 

4-910 

3-781 

2-740 

1-904 

I -206 
6-526 

5-633 

4*587 
3*587 

2-633 

1-847 

I-I8I 

4-971 

4-141 
3-310 

2-476 

1*764 

1*144 
3-539 

2-903 
2-226 
1-620 

1-075 

2-451 
1-936 
1-447 

-987 
I -581 

I-2I9 

•863 

-970 
-714 

•550 



MORTALITY TABLES— TWO LIVES 



Value of an Annuity for the Joint Continuance of Two Lives according to the 
GOVERNMENT EXPERIENCE TABLE, 1883. MALE AND FEMALE 



FEMALE THE ELDER 
^» 



Ages 



2"2 % 



M. F. 
20 20 
20 25 
20 30 
20 35 
20 40 

20 45 
20 50 

2055 
20 60 
20 65 

20 70 
20 75 
20 80 
20 85 
20 90 

20 95 
2525 
25 30 
25 35 
25 40 

2545 

25 50 

25 55 
25 60 

2565 
25 70 

25 75 
25 80 
2585 
25 90 

2595 
30 30 
30 35 
3040 

30 45 

30 so 

3055 
30 60 
30 65 
30 70 

30 75 
30 80 
30 85 
30 90 
30 95 



3% 



18-580 
18-124 
17-568 
16-890 
16-067 

15-066 
13-842 
12-436 
10-880 
9-129 

7-370 
5-662 
4-218 
2-977 
2-028 

I -261 

17-497 
17-014 

16-411 
15-659 

14-726 
13-566 

12*221 

10-719 

9-016 

7-296 
5-616 
4-190 
2-962 
2-020 

1-257 

16-383 
15-864 

15*197 
14-344 

13-259 
1 1 -981 

IO-539 
8-889 
7-212 

5*564 
4-160 

2*945 
2-01 1 

1-253 



2 /O 



17-235 
16-848 

16-375 
15-797 
15-087 

14-21I 
13-122 

11-854 

10-431 

8-803 

7-149 

5*521 

4-133 
2-929 
2-002 

1-249 
16-304 
15-890 
15-372 
14-721 

13-903 
12-870 

1 1 655 
10-281 

8-697 

7-078 

5-477 
4-106 

2-915 

1-995 

1-246 

15-337 
14-888 

14-307 

13-557 

12-589 

11-433 
10-112 

8-577 
6-998 

5*427 
4-077 
2-898 
1-986 
1-242 



MALE THE ELDER 



16-047 
15*717 

15*313 
14-817 
14-202 

13-434 
12-463 

II-316 

10-012 

8-497 

6-938 

5-387 

4-051 
2-883 
1-977 

1-238 
15-242 
14-886 

14-439 
13-873 

13*154 
12-232 

11-131 

9-871 

8-396 

6-871 

5*344 
4*025 
2-869 
1-970 

1-234 

14*399 
14-008 

13*501 
12-840 

11*973 
10-925 

9-714 

8-283 

6-794 

5-296 
3-996 

2-853 
1-961 
I -231 



Ages 



F. M. 
20 20 
20 25 
20 30 
20 35 
20 40 



20 


45 


20 


50 


20 


55 


20 


60 


20 


65 


20 


70 


20 


75 


20 


80 


20 


85 


20 


90 



20 95 

25 25 

25 30 

25 35 
25 40 

25 45 
25 50 

25 55 
25 60 

25 65 
25 70 

25 75 
25 80 

25 85 
25 90 

25 95 
30 30 

30 35 
30 40 

30 45 

30 50 

30 55 
30 60 
30 65 
30 70 

30 75 
30 80 
30 85 
30 90 
30 95 



210. 



2 /o 



3% 3i% 



18-580 
17-887 
17-114 
16-258 

15-311 

14-263 
13-092 
1 1 -761 
10-207 

8-373 

6-694 
5-209 
3-872 
2-809 
1-969 

1-129 

17-497 
16-790 

15-993 
15-097 

14-093 
12-959 

1 1 659 
10-133 
8-322 

* 6 -660 
5-187 

3*859 
2 -801 

1-965 

I -128 

16-383 
1 5 -660 

14*833 
13*887 

12-802 

1 1 -542 

10-049 

8-266 

6-623 

5*164 
3*845 

2-793 
I -961 

I -126 



17-235 
16-638 

15*971 
15-229 

14-402 

13-479 

12-435 

11-233 

9-806 

8-091 

6503 
5-086 

3-797 
2-765 

1-945 

1-119 
16-304 
15-689 

14-995 
14-211 

13*324 

12-313 

11-139 

9-736 

8-043 

6-471 
5-065 

3-785 
2-758 

I -941 

1-118 

15-337 
14-704 
13-976 

13*139 

12-169 

1 1 -030 

9-658 

7-990 

6-435 

5-043 

3-771 
2-750 

1-937 
i-ii6 



16-047 
15*530 
14-952 
14-304 
13-579 

12-763 
1 1 -831 

10-743 

9-431 
7-825 

6*321 
4-968 

3-725 
2722 
I -921 

i-iio 
15-242 

14-705 
14-098 
13-408 

12-623 
11-719 
io-6f5 

9-365 
7-779 

6-291 
4-948 

3-713 
2-715 
I -918 

I -108 

14*399 
13-842 

13-199 

12-456 

1 1 -588 

IO-555 
9-292 
7.729 
6-257 

4-926 
3-700 
2 708 
I 913 
i*io6 







111 



- 11 



i» 



1 






For explanation see pp. 29-31 



(i6i) 



MOKTALITY TABLES— TWO LIVES 



^S?i^(»SLl'^'^^'y ^®' *^® ^°i°* Continuance of Two Lives accordinir to the 
GOVEBNMENT EXPERIENCE TABLE, 1883. MALE AnTfSiALE 



FEMALE THE ELDEB 



Ages 



M. F. 

35 35 
3540 
35 45 
35 50 
35 55 

35 60 
35 65 
35 70 
35 75 
35 80 

35 85 

35 90 

35 95 
40 40 

40 45 
40 50 

40 55 
40 60 
40 65 
40 70 

4075 
40 80 

4»85 
40 90 
40 95 

45 45 
45 50 
45 55 
45 60 
45 65 

45 70 

45 75 
4580 

45 85 
45 90 

45 95 
50 50 

5055 
50 60 
50 65 

50 70 

5075 
50 80 
50 8s 
50 90 



2i^/ 







15-229 
14659 

13-904 
12-909 
11-711 

10-338 
8-747 
7-117 

5-505 
4-125 

2-926 

2-OOI 

1-249 
14-022 

13-379 

12-497 

1 1 -399 

10-109 

8-587 

7-010 

5-438 
4-085 

2-904 

1-989 

1-244 

12-736 
11-988 
1 1 -017 

9-837 
8-402 

6-889 

5-363 
4-040 
2879 
1-976 

1-238 

10-516 
9-482 
8-169 

6-744 
5-276 

3-990 
2-851 
1-961 



O/ 



^o 



H-327 
13-827 

I 13-159 
I 12-269 

11-183 

9-924 

8-443 
6*907 

5-370 

4-043 

2-880 

I -976 

1-237 

13-258 

12-687 

11-893 
10-895 

9-710 

8-292 

6-806 

5-306 
4-004 
2-858 
1-965 
1-232 

i2-io8 

I I -430 

10-544 

9-457 
8-117 

6-691 

5-234 
3-961 
2-834 
1-952 

1-226 
10-833 
10-084 

9-127 

7-899 

6-553 

5-151 
3-912 

2 -806 
1-937 



3^ 



2 



% 



13-511 
13-071 

12-479 
11-680 

10-694 

9-537 
8-156 

6-708 

5-241 

3-964 

2-835 

I -95 1 
1-226 

12-562 

12-052 

11-337 
10-427 

9-337 
8-013 

6-61 1 

5-180 
3-926 
2-814 
I -940 
I -221 

11-529 

10-914 

10-103 

9-101 

7-849 

6-502 
5-110 
3-884 
2-790 
1-927 

1-215 

10-370 

9-681 

8-795 
7-643 

6-370 
5-030 

3-837 
2-763 
1-913 



For explanation see pp. 29-31 



MALE THE ELDER 



Ages 



F. 

35 
35 
35 
35 
35 



M. 

35 
40 

45 
50 
55 



35 60 
35 65 
35 70 
35 75 

! 35 80 

I 3585 

35 90 

35 95 
40 40 

40 45 
40 50 

40 55 
40 60 

40 65 

40 70 

40 75 
40 80 
40 85 
40 90 

4095 

45 45 
45 50 
45 55 
45 60 
45 65 

45 70 
45 75 
45 80 
4585 

45 90 

45 95 
50 50 

5055 
50 60 
50 65 

50 70 

50 75 
50 80 
5085 
50 90 



(162) 



2i 



O/ 



^o 



15*229 
14-488 
13-621 
12*603 
11*399 

9-950 
8-201 
6-582 

5-138 
3-830 

2-784 

1*956 

1*124 

14-022 

13-256 

12*331 

1 1 -205 

9-820 

8-119 

6-531 

5-108 

3-813 i 
2-775 
I -951 
1*122 

12-736 
1 1 -932 
10-918 

9 627 

7-999 

6*460 
5*067 

3-791 
2763 

1-945 

1*119 

ii'33^ 
10*465 

9*309 
7-795 

6-332 
4-992 

3-749 
2-740 

1-934 



0/ 



^o 



14-327 

13-671 
12-901 
1 1 -989 
10-898 

9-566 

7-929 
6-396 

5-018 
3757 

2-741 

1*932 

1-114 

13-258 

12-574 



3i% 



13-511 
12*928 

12-242 
11-423 

10-433 

9-206 
7-671 
6-219 
4-902 
3-686 

2-699 

1-909 

1-104 

12 562 

11-949 



11*742 


II-I99 


10*721 


10270 


9-445 


9-093 


7-852 


7-598 


6-348 


6-174 


4-989 


4-875 


3-740 


3669 


2-732 


2*690 


1*927 


1*903 


1*112 


1*102 


12*108 


1 1 *529 


11*381 


10-871 


10-458 


10-028 


9265 


8-926 


7-739 


7-493 


6*280 


6*109 


4-950 


4-837 


3-718 


3649 


2*720 


2-679 


I -921 


1-898 


I-IIO 


1*100 


10*833 


10-370 


10-040 


9643 


8-970 


8-651 


7-546 


7-311 


6-159 


5 -994 


4-878 


4-768 


3-678 


3-609 


2-698 


2-658 


I -910 


1*887 



MORTALITY TABLES -TWO LIVES 



Value of an Annuity for the Joint Continuance of Two Lives according to the 


OOVEBNMENT EXPERIENCE TABLE, 1883. 


MALE 


AND FEMALE 


FEMALE THE ELDEB 


iZALE THE ELDER 


Ages 


2i% 


3% 


Qi 0/ 
U2 /O 


Ages 


2i% 


3% 


3i% 


M. F. 








F. M. 






5095 


1*231 


1*220 


1*208 


5095 


1*116 


I •106 


1-097 


55 55 


9*825 


9-447 


9093 


55 55 


9*825 


9-447 


9-093 


55 60 


8-974 


8-656 


8-356 


55 60 


8-845 


8-536 


8-245 


5565 


7-830 


7-582 


7-346 


5565 


7-487 


7*256 


7037 


5570 


6-539 


6-358 


6*186 


55 70 


6*138 


5-974 


5-817 


55 75 
5580 


5-161 


5-040 


4-925 i 


55 75 


4-873 


4-763 


4-658 


3927 


3-851 


3-778 


55 80 


3679 


3-610 


3-544 


5585 


2*8i8 


2*774 


2-732 


5585 


2-700 


2*659 


2*619 


5590 


1*944 


1*920 


1-896 


55 90 


1-912 


1*888 


1*866 


55 95 


1-223 


1*212 


I -201 


55 95 


1-106 


1*097 


1*087 


60 60 


8-20I 


7-934 


7-681 


60 60 


8-201 


7*934 


7 -681 


6065 


7-279 


7-063 


6-857 


60 65 


7-049 


6-843 


6*647 


60 70 


6-182 


6 -020 


5-866 


60 70 


5-858 


5-707 


5-564 


6075 


4-955 


4*844 


4-737 


6075 
60 80 


4-706 


4*603 


4-504 


60 80 


3-8i8 


3 '747 


3-678 


3*586 


3-520 


3-457 


6085 


2-766 


2-724 


2-683 


60 85 


2*651 


2 -61 1 


2-572 


60 90 


1-920 


1-897 


1-874 


60 90 


1*887 


1*864 


1-842 


6095 


I -214 


1-203 


1*192 


60 95 


1-098 


I -088 


I -079 


6565 


6-374 


6 202 


6-038 


6565 


6-374 


6 202 


6038 


6570 


5-528 


5-394 


5-266 


65 70 


5*394 


5-264 


5-140 


65 75 


4-524 


4-428 


4-336 


6575 


4-408 


4*316 


4*228 


6580 


3-554 


3-491 


3*429 


65 80 


3-408 


3-348 


• 3289 


6585 


2-619 


2-581 


2-543 


6585 


2-549 


2-511 


2-475 


65 90 


1-844 


I 822 


1-800 


65 90 


1*832 


I -810 


1*789 


6595 


1*182 


1-171 


1*161 


6595 


1*076 


1*066 


1-057 


7070 


4-781 


4-675 


4-574 


70 70 


4-781 


4*675 


4-574 


7075 
70 80 


4*ooi 


3-923 


3-848 


7075 


3-995 


3^918 


3-843 


3-213 


3-159 


3-107. 


70 80 


3*152 


3*100 


3-049 


70 85 


2-4,15 


2*381 


2-348 


7085 


2-399 


2*366 


2*333 


70 90 


1-727 


1-707 


1*688 


70 90 


1-751 


I -731 


1*711 


70 95 


1-125 


1*115 


1*105 


70 95 


1-044 


1-035 


1*027 


75 75 


3-430 


3*370 


3*311 


75 75 


3-430 


3*370 


3*31 1 


7580 


2-829 


2*785 


2-742 


7580 


2*774 


2*731 


2-690 


7585 


2-i8i 


2*152 


2*124 


7585 


2*160 


2-132 


2-104 


7590 


1-595 


1-577 


1-560 


7590 


I -610 


1*592 


1*575 


S'sS 


1-063 


1-054 


1-045 


75 95 


-984 


•976 


-968 


2-352 


2*320 


2-288 


80 80 


2-352 


2*320 


2*288 


8085 


1*868 


1-845 


1-823 


8085 


1*882 


1*859 


1-837 


80 90 


1*402 


1-388 


1-373 


80 90 


1*440 


1*425 


1*410 


8095 


*962 


•954 


•946 


8095 


•908 


*900 


•893 


8585 


1-540 


1-524 


1*507 


8585 


I '540 


1*524 


1*507 


85 90 


1*191 


1-179 


I -168 


8590 


1-215 


1-203 


I -192 


85 95 


*846 


•839 


-832 


8595 


•799 


-793 


-787 


90 90 


*968 


-960 


•951 


90 90 


•968 


•960 


-951 


90 95 


•712 


•707 


•702 


90 95 


666 


661 


•657 


95 95 


•519 


•515 


-512 


95 95 


•519 


-515 


-512 



1 i^J 



^1 



.1 



h 



(163) 



II 



MOBTILITY TABLES— TWO LIVES 



f 



Value of 5° ^nuity for the Joint Contiiinance of Two Lives according to the 
INSTITUTE OF ACTUAEIES HEALTHY MALES TABLE 



Ages 



3% 3* 



10 10 21 -0079 

10 15 20-4046 

10 20 19-6575 

10 25 18-9794 

10 30 18-1217 



1035 

10 40 

10 45 
10 50 

1055 

10 60 
10 65 
10 70 

10 75 
10 80 

10 85 
10 90 

1095 
15 15 
15 20 

15 25 
15 30 
15 35 
15 40 
15 45 

15 50 
1555 
15 60 
1565 
1570 

15 75 
15 80 
15 85 
15 90 
15 95 

20 20 
20 25 
20 30 
20 35 
20 40 

2045 
20 50 



17-1325 
15-9913 
14 '6570 
13-1800 
11-5676 

9-8667 
8-1707 
6-4997 
4-9661 
3-6859 

2-7056 

I -7242 

•4129 

19-8661 

19-1866 

18-5708 
17-7738 
i"6-8405 
15-7501 
14-4623 

13-0271 
11-4524 

97844 
8-1 160 

6-4676 

4-9502 
3-6801 

2-7055 
17272 

•4138 

18-5817 
18-0385 

17-3149 
16-4510 

15-4240 

14-1936 
12-8092 



20 55 11-2791 



O/ 



'2 /O 



; 19-3289 
18-8209 
18-1842 
17-6168 
16-8869 

16-0360 
15-0410 
13-8586 
12-5312 
1 1 -061 1 

9-4891 
7-9025 
6-3206 
4-8528 

3-6173 

2-6652 

17062 

•4107 

18-3635 
17-7798 

17-2617 
16-5811 
15-7762 
14-8240 
13-6816 

12-3908 

10-9544 

9-4122 

7-8512 

6-2903 

4-8378 
3-6118 
2-6652 
1-7092 

-41 15 

17-2554 
16-7952 
16-1739 
15-4263 
14-5274 

13-4344 
12-1880 

10-7916 



O/ 



^o 



17-8656 
17-4348 
16-8879 
16-4103 
15-7863 

15-0513 

14-1806 
13-1296 

1 1 -9335 
10-5905 

9-1350 
7-6489 
6-1498 
4-7440 

3-5509 

2-6259 

I -6885 

•4084 

17-0435 
16-5386 

16-1006 
15-5163 
14-8192 

13-9848 
12-9684 

1 1 -8045 

10-4915 

9-0633 

7-6007 

6-1213 

4-7298 

3-5459 
2-6260 
I -6915 

-4093 

16-0809 
15-6891 

15-1533 
14-5035 
137141 

12-7402 
1 1 -6153 
10-3381 



For explanation see pp. 29-3 1 



Ages 



20 60 

20 65 

I 20 70 

20 75 
20 80 

20 85 
20 90 
20 95 
25 25 
25 30 

2535 
25 40 
2545 
25 50 

25 55 
25 60 
25 6s 
2570 

2575 
2580 

2585 
2590 
12595 
30 30 
3035 

30 40 
30 45 
30 50 

3055 
30 60 

30 65 
30 70 

30 75 
30 80 
30 85 

30 90 

3095 
35 35 
35 40 
35 45 

35 50 
35 55 
35 60 



3% 



96503 
8-0149 

6-3944 
4-8992 

3-6458 

2-6828 

1-7153 
-4122 

17-5703 
16-9261 

16-1390 
15-1822 
14-0130 
12-6787 
1 1 -1886 

9-5902 

7-9774 
6-3726 
4-8875 
3-6400 

2-6801 

1 7145 
•4121 

16-3734 
15-6810 

14-8162 

^3-73^3 
12-4690 

1 1 -0378 
9-4855 

7-9071 
6-3275 
4-8598 
3-6234 
2-6705 

I -7102 

-41 15 
15-0950 

14-3405 
13-3625 

12-1954 

10-8436 

9-3536 



31 OZ 
2 /o 



9-2849 
7-7544 

6-2197 

4-7883 
3-5784 

2*6429 

I -6974 

-4099 
16-3949 

15-8382 

15-1537 

14-3135 
13-2723 

12-0695 
10-7083 

9-2291 

77I9I 

6-1990 

4-7771 
3-5728 

2 -6404 

I -6967 

•4098 

15-3561 

14-7501 

13-9872 
13-0182 
11-8779 
10-5688 
9-1311 

7-6525 

6-1559 
47503 

3-5567 
2-6310 

1-6925 

•4092 

14-2329 

13-5632 
12-6859 

1 1 -6285 
10-3896 
9-0080 j 



Q 



o 



8-9422 

7-5079 
6-0531 

4-6817 
3-5132 

2-6042 
I 6799 
•4076 

15-3455 
14-8621 

14-2645 

13-5241 

12-5945 
11-5075 

10-2615 

8-8904 

7-4748 
6-0334 
4-6710 
3-5078 

2-6017 
I -6792 

•4075 

U-4399 
13-9077 

13-2324 
12-3645 
11-3320 
10-1322 

8-7984 

7-4117 
5 -9922 
4-6452 
3-4922 

25925 

I -6750 

-4070 

13-4496 

12-8535 

12-0644 

1 1 '1041 
9-9665 
8-6833 



^164) 



^i i 



MORTALITY TABLES-TWO LIVES 



Valne of an Annuity for the Joint Continuance of Two Lives according to the 
SsTlTUTE OF ACTUAEIES HEALTHY MALES TABLE 



Ages 

3565 
3570 

35 75 
3580 

3585 

3590 

35 95 
40 40 

40 45 
40 50 

40 55 
40 60 
40 65 
40 70 
40 75 

40 80 
40 85 
40 90 

40 95 
45 45 

45 50 
45 55 
45 60 
4565 
4570 

45 75 
45 80 
4585 
45 90 
45 95 

50 50 
50 55 
50 60 

50 65 
50 70 

50 75 
50 80 
5085 
50 90 

5095 

55 55 
55 60 
5565 



O/ 



^o 



3i 



O/ 



^o 



7-8211 
6-2742 

4-8279 

3-6051 
2-6600 

I -7058 
•41 10 

13-7103 

12-8622 

11-8177 

10-5734 
9-1705 
7-7034 

6-2029 

4-7868 

3-5821 

2-6476 

1-7005 

-4103 

i2-r6i9 

11-2685 I 
10-1663 
8-8855 

7-5145 
6-0851 

47171 

3-5425 
2-6257 

1-6917 
-4094 

10-5428 
9-6109 
8-4864 
7-2447 
5-9148 

4-6152 

3-4839 

2-5929 

1-6776 

•4076 

8-8676 
7-9310 
6-8562 



O/ 



^o 



7-5714 

6-1050 

47197 
3-5389 

2 -6207 

I -6881 

-4087 
1 2 -9996 
12-2343 
11-2841 

10-1406 

8-8373 
7-4605 

6-0372 

4-6802 

3-5166 

2-6085 

1-6828 

-4080 

11-5979 

10-7807 
9-7638 

8-57,09 
7-2821 

5-9249 

4-6132 
3-4782 
2-5872 
I -6742 
•4071 

IO-II23 
9-2481 
8-1970 
7-0270 ' 
57624 

4-5152 

3-4214 

• 2-5551 
I -6603 

-4053 

8-5546 

7-6749 
6-6590 



Ages 



7-3350 

5-9437 

4-6157 

3-4749 
2-5825 

I -6707 
-4065 

12-3479 
11-6557 
10-7894 

9-7366 
8-5241 
7-2304 
5-8790 

4-5777 

3-4533 

2-5705 

I -6655 

•4058 

I I -0760 

10-3270 

93873 
8-2747 
7-0618 

57719 

4-5132 
3-4160 

2-5497 
1-6570 

-4049 

97103 
8-9078 
7 -9240 
6-8204 
5-6167 

4-4189 
3-3609 
2-5183 

I -6433 
-4031 

8-2598 
7-4327 
6-4713 



O/ 



^o 



5570 

55 75 
5580 

5585 
55 90 

55 95 
60 60 1 
60 651 
60 70; 
60 75 1 

60 80 
6085 
60 90 
60 95 
65 65 

65 70 

6575 
6580 

6585 
65 90 

6595 
70 70 

7075 
70 80 

7085 

70 90 

70 95 

75 75 

1 75 80 

7585 

7590 

75 95 
80 80 
80 85 
80 90 

80 95 

8585 

8590 

8595 
90 90 

90 95 
95 95 



(i% 



5-6627 
4-4616 

3-3947 

2-5429 
I -6568 

•4051 
7-1988 
6-3213 

5-3013 
4-2332 

3-2576 

2-4634 
I -6224 

-4010 

5-6519 

4-8312 
3-9266 
3-0687 

2-3514 
I -5719 

•3944 
4-2226 

3-5095 
2-8014 

2-1880 

1-4989 

•3854 
2-9876 
2-4424 
I -9508 

I -3791 
•3684 
2-0488 
1-6761 

1-2319 

-3467 

I -4025 

1-0676 

-3172 

-8693 

-2850 
•1321 



4% 



5-5216 

4-3673 
3-3349 
2-5063 

I -6398 

•4029 

6-9834 
6-1504 

5-1755 
4-1469 

3-2018 
2-4285 
1-6059 
•3987 
5-5115 

4-7242 

3-8507 
3-0181 
2-3190 
I -5561 

-3922 
4-1378 
3-4470 
2-7580 

2-1591 

1-4841 
•3833 

2-9395 
2-4077 

I 9265 

1-3659 

-3663 

. 2-0225 

, I -6569 

I -2206 

•3448 

1-3877 

1-0583 

•3155 
•8625 

-283s 
-1314 



5-3865 
4-2764 
3-2770 
2-4706 
1-6231 

•4007 
67787 
5-9872 
5-0548 
4-0638 

3-1476 

23945 

I -5897 

-3965 

5-3771 

4-6213 

3-7775 
2-9690 

2-2873 

1-5406 

•3901 
4-0560 
3-3865 
27159 
2-1309 

1-4696 

•3812 

2-8928 

2-3739 
1-9028 

1-3530 

•3643 
1-9969 

1-6381 

1-2096 

•3429 
1-3732 
I -0491 

•3138 
-8557 

•2820 
•1308 



: H 




' 'i 


\ ■ ' 


ri 


1* '1 



i 



I 



'i 






116S) 



11 



MORTALITY TABLES— TWO LIVES* 



Sin... P.,„.nt to "-/1,-th^ath^^^eU,^^^^^^ xw. Live, aocordin, u, 



Ages 



15 15 
15 20 

1525 
15 30 
1535 

15 40 
1545 
15 50 
1555 
15 60 

15 65 
15 70 

15 75 
15 80 
15 85 

20 20 
20 25 
20 30 
20 35 
20 40 

2045 
20 50 

20 55 
20 60 
20 65 

20 70 

20 75 
20 80 
20 85 
20 90 

2525 
2530 
25 35 
25 40 
2545 

25 50 

25 55 
25 60 

25 65 
25 70 

25 75 
25 80 

2585 
2590 
2595 
30 30 
3035 
30 40 

3045 
30 50 



0/ 



''O 



•5273 
•5439 
•5564 
•5708 

•5878 

•6080 

•6305 
•6563 
•6840 
•7149 

•7496 
•7884 
•8278 
•8654 
•8970 

•5592 
•5706 

•5839 

•5997 
•6186 

•6398 
•6644 
•6908 
•7205 
•7541 

•7918 
•8302 
•8669 
•8980 
•9202 

•581 1 

•5932 
•6079 

•6256 
•6457 
•6692 
•6946 

7234 
7562 

7932 

•83 1 1 
•8675 
•8983 
•9204 

•9639 
•6042 
•6175 

•6339 
•6527 
•6749 



Ages 



30 55 
30 60 
30 65 
30 70 
30 75 

30 80 
3085 
30 90 
30 95 
35 35 

3540 
35 45 
35 50 
35 55 
35 60 

3565 
35 70 
35 75 
35 80 
3585 

35 90 

35 95 
40 40 

40 45 
40 50 

40 55 
40 60 
40 65 
40 70 

40 75 
40 80 
40 85 
40 90 
40 95 
45 45 

45 50 
45 55 
45 60 
45 6s 
45 70 

45 75 



4580 
4585 

45 90 
45 95 


50 50 

5055 
5060 

5065 
5070 



3% 



•6991 
•7269 

•7587 
•7949 
•8321 

•8681 
•8986 
•9205 

•9639 
•6294 

•6443 
•6615 

•6822 

•7049 

•7312 

•7618 
7970 

•8334 
•8688 
•8990 

•9207 

•9639 
•6574 
•6727 
•6915 

7125 

•7371 
•7661 
•7999 

•8353 
•8698 
•8996 
•9210 
•9640 
•6861 

•7028 

•7216 

•7442 

•7713 
•8034 

•8375 
•87 1 1 

•9003 

•9213 

•9640 

•7170 
7334 
7536 
•7783 
•8083 



For explanation see pp. 29-31 



Ages 



5075 
50 80 
5085 
50 90 

50 95 

55 55 
55 60 
5565 
55 70 
55 75 

55 80 
5585 
55 90 

55 95 
60 60 

60 65 
60 70 

^P 
60 80 

60 85 
60 90 

6565 
6570 

6575 
65 80 
6585 
65 90 

6595 
70 70 

70 75 
70 80 
70 8s 
70 90 
70 95 

75 75 
75 80 
7585 
75 90 
75 95 
80 80 
80 8s 
80 90 

85 8s 

85 90 

8595 
90 90 

90 95 

95 95 



3% 



•8406 
•8730 
•9013 
•9218 
•9640 

7471 
7644 
7864 
•8138 
•8442 

•8750 
•9025 

•9224 
•9641 

7785 

7970 
•8212 
•8489 
•8778 
•9040 

•9231 
•9641 
•8115 
•8316 
•8556 

•8817 
•9061 
•9241 
•9642 
•8468 

•8660 
•8881 
•9098 

•9259 
•9643 
•8802 

•8973 

•9154 
•9289 

•9645 
•9091 
•9230 

•9330 
•9648 

•9327 

•9396 
•9654 
•9436 

•9657 
•9691 



(166) 



MORTALITY TABLES -TWO LIVES 



Single Payment to secore £1 at the Death of either of Two Lives according to the 


r 




CAKLISLE TABLE 






Ages 


3% 


Ages 


3% 


Ages 


3% 
•8246 


15 15 


•4202 


3055 


•6479 


50 75 


15 20 


•4343 


30 60 


•6933 


SO 80 


•8528 


1525 


•4526 


306s 


7313 


5085 


•8823 


1530 


•4739 


30 70 


•7768 


50 90 


•9020 


1535 


•4963 


3075 


•8190 


. so 95 


•8943 


15 40 


•5238 


30 80 


•8495 


55 55 


7057 


15 45 


•5520 


308s 


•8804 


5560 


7350 


15 50 


•5884 


30 90 


•9006 


55 65 


•7606 


15 55 


•6351 


30 95 


•8931 


55 70 


7956 


IS 60 


•6839 


35 35 


•5421 


55 75 


•8307 


15 65 


7245 


3540 


•5617 


5580 


•8567 


15 70 


7723 


35 45 


•5826 


5585 


•8846 


1575 
15 80 


•8161 


35 50 


•6122 


5590 


•9037 


•8475 


35 55 


•6528 


55 95 


•8959 


1585 


•8792 


3560 


•6968 


60 60 


7584 


20 20 


•4468 


3565 


•7338 


6065 


7790 


20 2S 


•4635 


3570 


•7784 


60 70 


•8088 


20 30 


•4831 


35 75 


•8200 


6075 


•8399 


20 35 


•5039 


35 80 


•8501 


60 80 


•8632 


20 40 


•5302 


3585 


'8807 


60 8s 


•8890 


20 45 


•5571 


35 90 


•9009 


60 90 


•9068 


20 50 


•5924 


35 95 


•8933 


6095 


•8993 


20 55 


•6380 


40 40 


•5782 


6565 


•7948 


20 60 


•6860 


40 45 


•5961 


6570 


•8196 


20 6s 


7259 


40 50 


•6227 


6575 


•8469 


20 70 


7731 


40 55 


•6604 


6s8o 


•8677 


207s 

20 80 


•8166 


40 (XI 


•7022 


6585 


•8917 


•8478 


40 6s 


'7377 


65 90 


♦9088 


20 8s 


•8793 


40 70 


•781 1 


65 95 


•9010 


20 90 


•8999 


40 75 


•8219 


70 70 


•8382 


25 2S 


•4782 


40 80 


•8514 


70 75 


•8601 


25 30 


•4958 


408s 


•8816 


7080 


•8769 


25 35 


•5148 


40 90 


•9015 


7085 


•8974 


25 40 


•5391 


40 95 


•8940 


70 90 


•9130 


25 45 


•5644 


45 45 


•6105 


70 95 


•9054 


25 50 


•5983 


45 50 


•6336 


75 75 
7580 


• -8768 


25 55 


•6425 . 


45 55 


•6680 


•8896 


2S 60 


•6893 


45 60 


•7069 


7585 


•9063 


25 65 


•7283 


4565 


•7405 


7590 


•9197 


2570 


•7747 


4570 


•7826 


75 95 


•9128 


25 75 


•8176 


45 75 


•8226 


80 80 


•8992 


25 80 


•8484 


4580 


•8518 


80 8s 


•9128 


25 85 


•8797 


4585 


•8819 


80 90 


•9246 


25 90 


•9002 • 


4590 


•9017 


8095 


•9183 


2595 


•8926 


45 95 


•8942 


8s 8s 


•9226 


30 30 


•5111 


50 50 


•6522 


8590 


•9320 


30 35 


•5279 


5055 


•6818 


8595 


•9269 


30 40 


•5500 


SO 60 


•7166 


90 90 


•9392 


30 45 


•5733 


506s 


7469 


9095 


•9354 


3050 


•6053 


5070 


-7863 


95 95 


•9306 



h '■ 



w 



l>l 



1 



For explanation see pp. 29-31 



(167) 





MORTALITY TABLES— TWO LIVES 






Single Payment to 


secure £1 at the Death of either of Two Lives according 


to the INSTITUTE OF ACTUABIES HEALTHY MALES TABLE 


Ages 


3% 


3i% 
•31256 


4% 


Ages 


3% 


3i% 

■75586 


4% 

•72872 


10 10 


•35900 


•27439 


20 70 


•78463 


10 15 


•37657 


•32974 


•29096 


20 75 


•82818 


•80426 


•78147 


10 20 


•39833 


•35125 


•31200 


20 80 


•86469 


•84518 


•82641 


10 25 


•41808 


•37045 


•33036 


20 85 


•89273 


•87681 


•86138 


10 30 


•44306 


•39514 


•35437 


20 90 


•92091 


•90878 


•89693 


10 35 


•47187 


•42391 


•38263 


i 20 95 


•95887 


•95232 


•94586 


10 40 


•5051 1 


•45756 


•41612 


25 25 


•45912 


•41 177 


•37132 


10 45 


•54397 


■49754 


•45655 


25 30 


•47788 


•43060 


•38991 


10 50 


■58699 


•54243 


•50255 


25 35 


•50081 


•45375 


•41290 


1055 


•63396 


•59214 


•55421 


1 25 40 


•52868 


•48216 


•44137 


10 6d 


•68350 


•64530 


•61019 


25 45 


•56273 


•51737 


•47713 


10 65 


•73289 


•69895 


•66735 


25 50 


•60159 


•55804 


•5i'894 


10 70 


•78156 


•75245 


•72500 


25 55 


•64499 


•60407 


•56686 


1075 


•82623 


•80208 


•77907 


25 60 


•69155 


•65409 


•61960 


10 80 


•86352 


•84386 


•82496 


1 25 65 


•73852 


•70515 


•67404 


10 85 


•89207 


•87606 


■86054 j 


25 70 


•78527 


•75656 


•72948 


10 90 


•92065 


•90849 


•89659 


25 75 


•82852 


•80464 


■78188 


10 95 


•95885 


•95230 


•94583 


2580 


•86486 


•84537 


•82662 


15 15 


•39225 


•34520 


•30601 


25 85 


•89281 


•87690 


•86147 


15 20 


•41205 


•36494 


•32543 1 


i 25 90 


•92094 


•90881 


•89695 


15 25 


•42998 


•38246 


•34228 \ 


25 95 


•95887 


•95233 


•94586 


15 30 


•45319 


•40548 


•36475 


30 30 


•49398 


•44690 


•40615 


15 35 


•48038 


•43270 


•39156 


30 35 


•51415 


•46739 


•42662 


15 40 


•51214 


•46488 


•42365 


30 40 


•53934 


•49319 


•45259 


15 45 


•54965 


•50353 


•46275 1 


3045 


•57094 


•52596 


•48597 


15 50 


•59145 


•54718 


•50751 


30 50 


•60770 


•56452 


•52569 


15 55 


•63731 


•59575 


•55801 


30 55 


•64939 


•60879 


•57183 


15 60 


•68589 


•64790 


•61295 


30 60 


•69460 


•65741 


•62313 


15 65 


•73449 


•70069 


•66920 


30 65 


•74057 


•70741 


•67647 


15 70 


•78250 


•75347 


•72610 


30 70 


•78658 


•75802 


•73107 


1575 


•82669 


•80259 


•77962 


30 75 


•82933 


•80555 


•78287 


15 80 


•86369 


•84405 


•82516 


30 80 


•86534 


•84591 


•82722 


15 85 


•89207 


•87606 


•86054 


3085 


•89309 


•87721 


•86183 


15 90 


•92057 


•90839 


•89648 


30 90 


•92106 


•90895 


•897 1 1 


'*'5 95 


•95882 


•95227 


•94580 


30 95 


•95889 


•95235 


•94588 


20 20 


•42966 


•38268 


•34303 


35 35 


•53122 


•48488 


•44424 


20 25 


•44548 


•39824 


•35810 


35 40 


•55319 


•50753 


•46717 


20 30 


•46656 


■41925 


■37871 


35 45 


•58168 


•53720 


•49752 


20 35 


•49172 


•44453 


. ^403 70 


35 50 


•61567 


•57295 


•53446 


20 40 


•52163 


•47493 


•43407 


35 55 


•65504 


•61485 


•57821 


20 45 


•55747 


•51 189 


•47152 


35 60 


•69844 


•66157 


•62756 


20 50 


•59779 


•55403 


•51479 


35 65 


•74308 j 


•71015 


•67942 


20 55 ! 


•64236 


•60126 


•56391 1 


35 70 


•78813 


•75974 


•73293 


20 60 1 


•68980 i 


•65221 


•61760 


35 75 


•83026 


•80658 


•78401 


20 65 


•73743 1 


•70396 j 


•67277 j 


35 80 


•86587 


•84651 

1 


•82789 



For explanation see pp. 29-31 



(168) 



MORTALITY TABLES— TWO LIVES 



Sinele Payment to secure £1 at the Death of either of Two Lives according 
to the INSTITUTE OJ" ACTUARIES HEALTHY MALES TABLE 



Ages 



0/ 



^O 



3585 
35 90 
35 95 
40 40 

40 45 

40 50 
40 55 
40 60 

40 65 
40 70 

4075 
4080 

40 85 
40 90 

40 95 

45 45 
4550 
45 55 
45 60 
4565 

4570 

45 75 
4580 

45 85 
45 90 

45 95 
50 50 

5055 
50 60 

50 65 
5070 

50 75 
SO 80 
5085 
50 90 

50 95 

55 55 
5560 

5565 
5570 



3i% 



•89340 
•921 19 
•95890 
•57155 
•59625 

•62667 
•66291 

•70377 
•74650 
•79021 

•83145 
•86654 
•89376 

•92135 
•95892 

•61665 
•64267 

•67477 
•71207 
•75201 

•79364 
•83348 
•86770 
•89440 
•92160 

•95895 
•66380 

•69095 

•72370 

•75986 

•79863 

•83645 
•86940 

•89535 
•92201 

•95900 
•71260 

•73988 
•77118 
•80594 



4% 



•87756 
•90910 
•95236 
•52659 

•55247 

•58460 
•62327 

•66734 
•71390 
•76203 

•80792 
•84727 

•87797 
•90928 

•95239 

•57399 
•60162 

•63601 

•67635 i 
71993 

•76583 
•81018 

•84857 
•87870 

•90957 

•95242 
•62423 

•65345 
•68899 

•72856 

•77132 
•81350 
•85049 

•87978 
•91004 

•95248 
•67690 
•70665 
■74100 

•77947 



•86220 
•89728 

•94590 
•48661 

•51324 

•54656 

•58705 
•63368 

•68344 
•73542 

•78547 
•82872 

•86267 

•89748 

•94593 

•53553 
•56434 
•60048 
•64328 
•68993 

•73954 

•78795 
•83015 

•86347 
•89781 

•94596 
•58806 
•61893 
•65677 
•69921 

•74551 
•79158 

•83227 

•86468 

•89833 

•94603 

•64385 
•67566 

•71264 
•75436 



Ages 



55 75 
5580 

55 85 

5590 

55 95 

60 60 
60 65 
60 70 
60 75 
60 80 

60 85 
60 90 
60 95 

6565 
65 70 

6575 
65 80 

65 85 
65 90 

6595 

70 70 

70 75 
70 80 

70 85 

70 90 

70 95 
75 75 
75 80 
75 85 
75 90 

75 95 
80 80 

80 85 

80 90 

80 95 

8585 
85 90 

8595 
90 90 

90 95 
95 95 



O/ 



^o 



3i9 



O 



•84093 
•87200 
•89681 
•92262 
•95908 

•76120 
•78676 
•81647 
•84758 
•87599 

•89913 
•92362 

•95919 
•80626 

•83016 

•85651 
•88150 
•90239 

•92509 
•95939 

•84789 

•86866 
•88928 
•90715 
•92722 

•95965 
•88386 

•89974 
•91405 
•93071 

•96014 
•91 120 
•92206 

•93499 
•96078 

•93002 
•93978 
•96164 

•94555 
•96257 

•96703 



0/ 



•81850 

•85341 
•88143 
•91073 

•95256 

•73003 
•75820 

•79II7 

•82595 
•85791 

•88406 
•91 188 
•95270 
•77981 
•80643 

•83597 

•86412 
•88776 

•91356 
•95292 

•82626 

•84962 
•87292 

•89317 

•91600 

•95322 
•86678 

•88477 

•90104 

•91999 

•95380 
•89779 

•9IOI5 

•92491 
•95452 

•91926 

•93040 

•95552 
•93702 

•95660 

•96174 



^o 



•79706 

•83550 
•86651 

•8991 1 

•94613 

•70082 
•73126 
•76712 
•80524 

•84048 

•86944 
•90039 

•94629 

•75472 
•78379 

•81625 
•84734 
•87356 

•90228 

•94653 
•80554 

•83129 

•85708 

•87958 

•90501 

•94688 
•85028 
•87023 
•88835 
•90950 

•94753 
•88473 
•89853 

•91 501 

i. ^94835 

'90872 
•921 19 

•94947 

•92863 

•95069 
•95651 



\ 



.i' 



(160) 



i 



I 



:i : 



1 



MORTALITY TABLES— TWO LIVES 



Annual Payment during the Joint Continuance of Two Lives 
rvo'TTfri^i^^^Jit ^^ ** ^^® ^^^^ D®ath according to the 
IHSTITUT E OF ACTUAEIES HEALTHY MALES TABLE 



Ages 



3% 



10 10 
10 20 

10 30 
10 40 
10 so 

10 60 
10 70 
10 80 
10 90 

15 20 
1525 
15 30 
1535 
15 40 

1545 
1550 

1555 
15 60 
15 70 
IS 80 

IS 90 

20 20 

20 2S 
20 30 

20 3S 

20 40 
20 45 

20 SO 
20 SS 
20 60 
20 70 
20 80 
20 90 
25 25 

25 30 
25 3S 
2S 40* 

2S 4S 

2SS0 

255s 

2S 60 

2S 70 
2S 80 

25 90 
30 30 

30 35 

30 40 

304s 

30 so 



-016 
-019 

•023 
•030 

-041 

-063 

-104 

•184 

-338 

-019 

•020 
-022 
•024 
•027 
•031 

•036 
•042 
•051 
•064 
•105 

-185 

•338 

-022 
•023 

•025 

•028 
-032 

■043 
•052 

-065 
•106 
•186 

-339 
•025 

•027 
•029 

-033 

-037 
•044 



3i% 



•015 
-018 
•022 
•028 
•040 

-062 
-103 
•183 

•336 
•018 

•019 
•021 
•023 
•026 
•029 

•034 
•04 1 

-050 

•062 

•103 

•183 
•336 
-021 
•022 
-024 

•027 
•031 

•035 
•042 

-051 

-063 
•105 
•185 

-337 
-024 

•026 
•028 
-031 
-036 
•043 



4% 



•053 


-052 


■06s 


-064 


•107 


-105 


-186 


-185 


-339 


•337 


•028 


•027 


•031 . 


•030 


•034 


•033 


■039 


•038 


•045 


•044 



•015 
•017 
-021 
-027 

•039 

-060 
-loi 

•181 
•333 

•017 

-019 
-020 
-022 
•025 

-028 
•033 

•040 

•049 

-061 
-102 

-181 
•333 

•020 
•021 

•023 

•026 
-029 

•034 

-041 

-050 

•062 
•103 

•183 

•335 
•023 

•025 
•027 
-030 

'03S 
•041 

-050 
•063 
■104 
•183 

•335 
■026 
029 
•032 
-036 

•043 



Ages 



30 55 
30 60 
30 70 
30 80 
30 90 

35 35 
35 40 
35 45 
35 50 
35 55 
35 60 
35 70 
3580 

35 90 
40 40 

4045 
40 50 

4055 
40 60 

40 70 

40 80 
40 90 

45 45 
4550 
45 55 
4560 

45 70 
45 80 
45 90 
5050 

5055 
50 60 
50 70 
SO 80 
SO 90 

55 55 
5560 

55 70 
55 80 
55 90 
60 60 
60 70 
60 80 
60 90 
70 70 

70 80 
70 90 
80 80 
80 90 
90 90 



For explanation see pp. 29-31 



1170) 



3 % 



-054 
-066 

•107 
-187 
-340 
•033 
■036 
•040 
•047 

•055 
•067 
•108 
•188 

•340 
•039 

•043 
•049 

•057 
•069 

•iio 

•189 

•341 
-047 

•052 
-060 

•072 

•112 
-191 

•342 
-058 

-065 
•076 
•115 
•194 

•344 
•072 
•083 
'121 
•198 
•347 



2 /O 



Oy 



^O 



•053 

-065 
•106 

•186 

•338 

-032 

•035 
•039 
•045 
•054 

-066 

-107 

•186 

•338 
•038 

•042 
•048 
•056 
•068 
•108 

•188 
•339. 

•046 
•051 

•059 

•071 
•III 
•189 
•340 

•056 
-064 

-075 
-114 

-192 

•342 

•071 
•081 

-120 

•197 

•345 



•093 


-091 


•090 


•130 


-128 


-126 


-206 


-204 


-203 


•352 


•350 


•348 


•162 


•161 


•159 


•234 


•232 


•231 


•372 


•369 


•366 


299 


•297 


-295 


-419 


•416 


-4I4> 


-471 


-468 


•46s 



•051 
•064 
•105 

•184 
•335 

-031 

•034 
-038 

•044 

•053 

•065 
•106 

•184 

•336 
•036 

•041 
•046 

•055 

•067 
•107 

•186 

•337 
•044 

•050 

-058 

•069 
•109 

•188 
•338 
•055 

•062 

•074 

•113 
•191 

•340 

•070 
•080 
-118 

•'95 
•343 



MOBTALITY TABLES— TWO LIVES 



Value of an Annuity during the Continuance of either of Two Lives 


according 




to the NORTH AM FTON TABLE 




Ages 


3% 


4% 


/o 


6% 
14-954 


Ages 


15 15 


24-015 


20-171 


17-216 


15 15 


15 25 


23-241 


19-599 


16-831 


14-665 


15 25 


1535 


22-444 


19-043 


16-435 


14-368 


15 35 


1545 


21-662 


18-467 


16-003 


, 14-027 


1545 


1555 


20-957 


17-915 


15-567 


13-674 


15 55 


1565 


20-364 


17-425 


15-155 


13-343 


15 65 


1575 


19945 


17-058 


14-837 


13-069 


15 75 


20 20 


23-H3 


19-531 


16-782 


14-640 


20 20 


20 30 


22-274 


18-941 


16-372 


14-348 


20 30 


20 40 


21-390 


18-306 


15-907 


14-003 


20 40 


20 SO 


20-551 


17-667 


15-415 


13-620 


20 50 


20 60 


19-818 


17-077 


14-936 


13-228 


20 60 


20 70 


19-223 


16-568 


14-498 


12-852 


20 70 


20 80 


18-850 


16-233 


14-197 


12-578 


20 80 


25 25 


22-245 


18-932 


16-370 


14-382 


25 25 


25 35 


21-289 


18-260 


15-894 


13-979 


25 35 


2545 


20-342 


17-561 


15-368 


13-569 


25 45 


25 55 


19-480 


16-885 


14-833 


13-142 


25 55 


25 65 


18-748 


16-279 


14-324 


12-719 


2565 


25 75 


18-214 


15-811 


13-915 


12-369 


25 75 


30 30 


21-255 


18-249 


15-889 


14-004 


30 30 


30 40 


20-202 


17-488 


15-333 


13-592 


30 40 


30 SO 


19-198 


16-724 


14-745 


13-133 


30 50 


30 60 


18-321 


16-018 


14-172 


12-665 


30 60 


30 70 


17-613 


15-413 


13-653 


I2-2l8 


30 70 


30 80 


17-173 


15-018 


13-297 


11-895 


30 80 


35 35 


20-154 


17-466 


15-324 


13-557 


35 35 


35 45 


19-008 


i6-6i6 


14-686 


13-070 


35 45 


35 55 


17-957 


15-792 


14-035 


12-547 


35 55 


35 65 


17-065 


15-053 


13-414 


12-024 


35 65 


35 75 


16-417 


14-485 


12-919 


11-614 


35 75 


40 40 


18-932 


16-574 


14-658 


13-088 


40 40 


40 50 


17-694 


15-627 


13-929 


12-520 


40 so 


40 60 


16-600 


14-746 


13-214 


11-935 


40 60 


40 70 


15-711 


13-987 


12-562 


"*374 


40 70 


40 80 


15-160 


13-491 


12-116 


10-969 


40 80 


45 45 


17-608 


15-576 


13-898 


12-463 


45 45 


45 55 


16-285 


14-536 


13-076 


11-809 


45 55 


45 65 


15-146 


13-591 


12-283 


11*252 


45 65 


45 75 


14-311 


12-859 


11-643 


10-594 


45 75 


SO SO 


16-158 


14-447 


13-016 


1 1 -804 


SO so 


SO 60 


14^752 


13-314 


12-093 


1 1 -048 


SO 60 


50 70 


13-588 


12-319 


11-238 


10-311 


50 70 


50 80 


12-855 


1 1 -660 


10-644 


9-772 


50 80 


55 55 


14-619 


13-223 


12-029 


10-965 


55 55 


5565 


13-120 


1 1 -976 


10-983 


10-100 


55 65 


55 75 


1 1 -999 


10-992 


10-120 


9*342 


55 75 


60 60 


12-948 


11-852 


10-896 


io-o6i 


60 60 


60 70 


11-372 


10-500 


9-735 


9-058 


60 70 


60 80 


10-361 


9-590 


8-915 


8-315 


60 80 



11 

i 



'ii 



For explanation see pp. 31, 32 



<I7I) 



f" 



h 






'- 






111! 



MORTALITY TABLES— TWO LIVES 



For explanation see pp. 31, 32 



(172) 



Value of 


an Annuity during the Continuance of either of Two Lives according 






to the CAELISLE TABLE 






Ages 


3% 


Ages 


3% 


Ages 


3% 


Ages 


3% 


5 5 i 


27-570 i 


15 80 


22-712 


35 40 


21-528 


55 55 


15715 


5 10 


27-332 


1585 


22-663 


35 45 


20-965 


5560 


14-802 


5 15 


26-986 


15 90 


22 -640 


35 50 


20-423 


5565 


14-107 


520 


26-665 ' 


1595 


22-639 


35 55 


19-924 


5570 


13-513 


525 


26343 1 


20 20 


25-398 


35 60 


19-515 


55 75 


13-107 


530 


26-032 


20 25 


24-941 


3565 


19-211 


55 80 


12-854 


555 


25-737 


20 30 


24-505 


35 70 


18-949 


5585 


12-677 


540 


25-444 


2035 


24-098 


35 75 


18-767 


5590 


i2-6oo 


5 45 


25-174 


20 40 


23-707 


3580 


18-651 


55 95 


12-591 


550 


24-902 


20 45 


23-351 


35 85 


18-567 


60 60 


13-688 


5 55 


24-638 


20 50 


23-003 


35 90 


18-530 


6065 


12-820 


560 


24-411 


20 55 


22-676 


35 95 


18-527 


60 70 


12-050 


565 


24-238 


20 60 


22 -404 


40 40 


20-803 


^P 


11-506 


5 70 


24-079 


20 65 


22-201 


40 45 


20-137 


60 80 


II-I6I 


5 75 


23-961 


20 70 


22-029 


4050 


19-490 


60 85 


10-909 


580 


23-883 


20 75 


21*909 


4055 


18-893 


60 90 


10-791 


585 


23-820 


20 80 


21-835 


40 00 


18-409 


60 95 


10-790 


590 


23-786 


20 85 


21-782 


40 65 


18-054 


6565 


11-788 


5 95 


23-792 


20 90 


21-757 


40 70 


17-750 


6570 


10-847 


10 10 


27-060 


20 95 


21-756 


40 75 


17-540 


6575 


IO-I73 


10 15 


26-685 


2525 


24-417 


40 80 


17-406 


6580 


9-740 


10 20 


26-335 


2530 


23-912 


4085 


17-306 


6585 


9-428 


10 25 


25-989 


2535 


23-440 


40 90 


17-261 


6590 


i 9-285 


10 30 


25-659 


25 40 


22-986 


40 95 


17-261 


6595 


9-277 


10 35 


25-350 


2545 


22-575 


45 45 


19-355 


70 70 


1 9-691 


10 40 


25049 


2550 


22-176 


45 50 


18-585 


7075 


8-831 


10 45 


24-774 


2555 


21-801 


45 55 


17-871 


70 80 


8-259 


10 50 


24-505 


25 60 


21-489 


45 60 


17-292 


7085 


7-830 


10 55 


24-253 


2565 


21-255 


45 65 


16-870 


70 90 


7-635 


10 60 


24-046 


2570 


21-054 


4570 


16-521 


7095 


7-633 


10 65 


23-892 


2575 


20-915 


45 75 


16-286 


75 75 


7-793 


10 70 


23761 1 


25 80 


20 827 


45 80 


16-140 


7580 


7-086 


1075 


23-671 


2585 


20-765 


45 8s 


16-036 


7585 


6-524 


10 80 


23-614 ! 


2590 


20-737 


45 90 


15-987 


75 90 


6-253 


1085 


23-575 


2595 


20-735 


45 95 


15-987 


75 95 


6-276 


10 90 


23-557 


30 30 


23-330 


50 50 


17-662 


80 80 


6-271 


10 95 


23555 


30 35 


22-782 


50 55 


16-787 


80 85 


5-601 


15 15 


26256 


30 40 


22-251 


50 60 


16-064 


80 90 


5-274 


15 20 


25-855 


30 45 


21-771 


5065 


15-528 


8095 


5-315 


1525 


25-456 


3050 


21-308 


5070 


15-088 


8585 


4-802 


15 30 


25-075 


3055 


20-877 


5075 


14-792 


8590 


4-393 


1535 


24-721 


3060 


20-519 


50 80 


14-613 


8595 


4-478 


15 40 


24-377 ' 


30 65 


20-251 


50 85 


14-491 


90 90 


3-909 


1545 


24-062 


30 70 


20-018 


5090 


14-436 


90 95 


4-039 


1550 


23753 1 


30 75 


19-856 


5095 


14-430 


95 95 


4-131 


15 55 


23-463 


30 80 


19-753 


• 








15 60 


23-221 


3085 


19-679 










15 65 


23-041 


30 90 


19-645 










15 70 


22-887 


3095 


19-644 










1575 


22-779 


35 35 


22-148 






r 1 





MORTALITY TABLES— TWO LIVES 



Value of an Annuity during the Continuance of either of Two Lives 


according to the IKSTITTJTE OF ACTU ABIES HEALTHY MALES TABLE 


Ages 


3% 


3i% 
24-5789 


4% 


Ages 


3% 


34% 


4% 
18-0413 


10 10 


27-2889 


22-2874 


30 55 


20-9234 


19-3953 


10 20 


26-5334 23-9943 


21-8324 


30 00 


20-6178 


19-1192 ] 17-7915 


10 30 


25-8941 ; 23-4826 


21 -421 1 1 


30 70 


20-1964 


18-7300 17-4317 


10 40 


25-3333 i 23-0155 


21-0306 


30 80 


19-9864 


18-5311 


17-2430 


10 50 


24-8647 


22-6101 


20-6790 


30 90 


19-8971 


18-4448 j 


17-1598 


10 60 


24-5176 1 


22-2995 


20-4005 


35 .3.5 


22-0792 


20-4161 


18-9440 


10 70 


24-3052 I 


22-1036 


20-2197 


3540 


21-4228 


19-8639 


18-4780 


10 80 24-2049 


22-0088 


20-1299 


35 45 


20-8181 


19-3458 


18-0329 


10 90 


24-1641 : 


21-9694 


20-0919 


35 50 


20-2880 


18-8834 


17-6287 


IS 15 


26-4501 1 


23-9351 


21-7903 


35 55 


19-8373 


18-4834 


17-2729 


15 20 


26-0140 


23-5941 


21-5221 


35 60 


19-4694 


18-1512 


16-9725 


15 25 


25-6252 


23-2862 


21-2770 1 


35 70 


18-9694 


17-6898 


16-5461 


15 30 


25-2517 


22-9838 


21-0315 1 


3580 


18-7244 


17-4578 


16-3262 


15 35 


24-9047 


22-6976 


20-7945 1 


3590 


18-6212 


17-3581 


16-2300 


15 40 


24-5842 


22-4279 


20-5668 1 


40 40 


20-6421 


19-2056 


17-9215 


15 45 


24-2893 


22-1749 


20-3490 


40 45 


19-9075 


18-5755 


17-3795 


15 50 


24-0273 


21-9459 


20-1484 


40 50 


19-2548 


18-0059 


16-8813 


15 55 


23-7995 


21-7434 


19-9680 1 


40 55 


18-6966 


17-5105 


16-4407 


15 So 


23 -6096 


21-5718 


19-8126 i 


40 60 


18-2416 


17-1000 


16-0696 


15 70 


23-3470 


21-3293 


19-5886 


40 70 


17-6298 


16-5357 


15-5487 


15 80 


23-2204 


21-2097 


19-4753 


40 80 


17-3365 


16-2582 


15-2857 


1590 


23-1708 


21-1618 


19-4293 


40 90 


17-2156 


16-1415 


15-1731 


20 20 


25-5033 


23-1938 


21-2067 


45 45 


19-0251 


17-8165 


167250 


20 25 


25-0419 


22-8280 


20-9154 


4550 


18-2213 


17-1139 


16-1095 


20 30 


24-5950 


22-4663 


20-6214 


45 55 


17-5210 


16-4919 


15-5558 


20 35 


24-1786 


22-1228 


20-3371 


4560 


16-9439 


15-9710 


150848 


20 40 


23-7947 


21-7998 


20-0644 


45 70 j 16-1649 


15-2526 


14-4216 


2045 


23-4424 


21-4974 


19-8041 


45 80 15-7934 


14-9012 


14-0888 


20 50 


23-1296 


21-2240 


19-5645 


45 90 15-6417 


147547 


13-9474 


2055 


22-8572 


20-9815 


19-3483 


50 50 17-2498 


16-2625 


15-3617 


20 60 


22-6281 


20-7744 


19-1606 


50 55 


: 16-3792 


15-4878 


14-6708 


20 70 


22-3046 


20-4752 


18-8837 


50 60 


! 15-6458 


! 14-8251 


14-0710 


20 80 


22-1391 


20-3184 


18-7349 


SO 70 14-6380 1 13-8953 


13-2123 


20 90 


22-0671 


20-2489 


18-6678 


50 80 


14-1548 13-4382 


12-7794 


25 25 


24-5055 22-4023 


20-5759 


50 90 


13-9586 1 13-2488 


12-5966 


2530 


239792 21-9760 


20-2295 


55 55 


15-3200 14-5424 


13-8254 


25 35 


23-4860 


21-5694 


19-8930 


5560 


1 14-3987 13-7083 


130689 


2540 


23-0319 


21-1877 


19-5713 


55 70 


13-0876 \ 12-4972 


11-9491 


2545 


I 22-6184 


20-8335 


19-2667 


55 80 


12-4415 : 11-8858 


1 1 -3699 


25 50 


22-2555 


20-5165 


18-9892 


; 5590 


12-1769 11-6304 


11-1234 


2555 
25 60 


21-9431 


20-2388 


18-7418 |i 60 60 


13-2730 1 12-6860 


12-1393 


21-6836 


20-0042 


18-5293 1 60 70 


1 1 -591 1 11-1295 


10-6972 


2570 


21-3218 


19-6699 


18-2203 60 80 


10-7207 10-3051 


9-9157 


25 80 


21-1403 


19-4980 


18-0572 1 60 90 


10-3534 9-9505 


9-5732 


2590 


21-0633 


19-4236 


17-9854 


! 70 70 


9-0904 ; 8-8028 


8-5300 


30 30 


23-3614 


21-4751 


19-8219 


70 80 


7-5975 


7-3845 


7-1814 


3035 


22-7735 


20-9900 


19-4200 


Z°g° 


6-8975 


6-7079 ; 6-5273 


3040 


22-2274 


20-5310 


19-0332 


80 80 


! 5-4360 


5-3219 


5-2117 


3045 


21-7296 


20-1046 


18-6669 


{ 80 90 


i 4-2504 


4-1733 


4 -0986 


30 SO 


21 -2947 


19-7251 


1 18-3349 


90 90 2-6105 ^ 2-5809 


1 2-5521 



For explanation see pp. 31, 32 



til 



' 






1 
1 



(173) 



K 2 



j. 



, 



1 ' 

t 



I 



MORTALITY TABLES— TWO LIVES 



Single Payment to secure £1 at the Death of the Last of Two Lives 
according to the NORTHAMPTON TABLE 



50 50 

51 51 

52 52 

53 S3 

S4S4 

55 5S 

56 S6 

57 S7 

58 58 

59 59 

60 60 

61 61 

62 62 

63 63 

64 64 

6565 

66 66 

67 67 

68 68 

69 69 



Ages 


3% 


20 20 


•2968 


21 21 


•3019 


22 22 


•3070 


23 23 


•3122 


24 24 


•3175 


2525 


•3230 


26 26 


•3285 


2727 


•3341 


28 28 


•3399 


29 29 


•3458 


30 30 


•3518 


31 31 


•3580 


32 32 


•3642 


33 33 


•3707 


34 34 


'3772 


35 35 


•3839 


36 36 


•3907 


37 37 


•3977 


38 38 


•4048 


39 39 


•4121 


40 40 


•419s 


41 41 


•4270 


42 42 


■4346 


43 43 


•4422 


44 44 


•4501 


45 45 


•4580 


46 46 


•4662 


47 47 


•4745 


48 48 


•4829 


49 49 


•4916 



•5003 
•5090 

•5178 
•5267 

•5358 

•5451 
•5545 
•5641 
•5738 

•5837 

•5937 

•6039 
•6142 

•6248 

•6355 

•6465 

•6575 
•6687 

•6800 

•6913 



Ages 



3% 



IS 

20 

25 
30 
35 
40 

45 
50 

55 
60 

65 
70 

75 
80 
20 25 

20 30 
20 35 
20 40 
20 45 
20 50 

20 55 
20 60 
20 65 
20 70 
20 75 
20 80 
25 30 
25 35 
25 40 
2545 

2550 

25 55 
25 60 

25 65 
25 70 

25 75 
25 80 

3035 
30 40 

3045 
30 50 
30 55 
30 60 
30 65 
30 70 

3075 
30 80 

35 40 
35 45 
35 50 



•2693 
•2824 
•2939 

•3055 
•3172 

•3288 

•3399 
•3506 

•3605 
•3696 

•3777 
■3846 

•3899 
•3937 
•3094 
•3221 

•3350 
•3479 
•3603 

•3723 

•3833 
•3936 
•4029 
•41 10 

•4173 
•4218 
•3368 
'3508 
•3648 

•3784 

•3914 
•4035 
•4147 
•4248 

•4335 

•4403 

•4453 
•3671 
•3825 

•3974 
•4117 
•4250 
•4372 
•4483 
•4579 

•4653 
•4707 

•4008 

'4172 

•4332 



For explanation see pp. 31, 32 



(174) 



Ages 



35 55 
35 60 
3565 
3570 
35 75 
35 80 
40 45 
40 50 

40 55 
40 60 

40 65 
40 70 

4075 
40 80 

45 50 

45 55 
45 60 
4565 
45 70 
45 75 
45 80 
50 55 
50 60 

SO 65 
50 70 

SO 75 
SO 80 
55 60 
55 65 
55 70 

55 75 
5580 
60 65 
60 70 
60 75 

60 80 
65 70 

6575 
65 80 

70 70 

70 75 
70 80 

75 75 
75 80 
80 80 

80 85 
80 90 

8585 
85 90 
90 90 



3% 



•4479 
•4615 
•4738 

•4844 
•4927 

•4986 
•4378 

•4555 
•4720 

•4874 

•5013 

•5133 
•5226 

•5293 
•4779 

•4965 
•5139 
•5297 
•5434 
•5540 

•5617 

•5213 
•5412 
•5593 
•5751 

•5875 
•5964 
•5678 

•5887 
•6070 

•6214 
•6318 
•6181 
•6396 
•6567 

•6691 
•6721 
•6928 
•7081 
•7027 

•7281 

•7474 

•7587 
•7829 

•8124 

•8323 

•8451 
•8564 
•8736 
•8937 



MORTALITY TABLES— TWO LIVES 






Single Payment to secure £1 at the Death of the Last of Two Lives according 

to the CABLISLE TABLE 



Ages 



IS 15 
15 20 

1525 
IS 30 

15 35 

15 40 

IS 45 

IS SO 

IS 55 
15 60 

15 65 
1570 
1575 
15 80 
1585 

IS 90 

15 95 
20 20 
20 25 
20 30 

20 35 
20 40 

20 45 
20 50 
20 55 

20 60 
20 65 
20 70 

20 75 
20 80 

20 85 
20 90 
20 95 
25 25 
25 30 

25 35 
25 40 

25 45 
25 50 
25 55 
25 60 
2565 
25 70 
25 75 
25 80 

2585 
25 90 
25 95 
30 30 

3035 



3% 



•2061 
•2178 
•2294 
•2405 
•2508 

•2609 
•2700 
•2790 
•2875 
•2945 
•2998 

•3043 
•3074 

•3094 
•3108 

•3115 

•3115 
•231 1 

■2444 
•2571 

•2690 
•2804 
•2908 
'3009 
•3104 

•3183 
•3242 

•3293 
•3328 

•3349 

•3364 
•3372 
•3372 

•2597 

•2744 

•2882 
•3014 

•3134 
•3250 

•3359 

•3450 
•3518 

•3577 
•3617 

•3643 
•3661 
•3669 
•3669 
•2914 

•3073 



Ages 



30 40 
30 45 
30 50 

30 55 
30 60 

30 65 

30 70 

3075 
30 80 

30 85 
30 90 
30 95 
35 35 
35 40 
35 45 

35 50 
35 55 
35 60 
3565 
35 70 

35 75 
3580 

3585 

35 90 

35 95 



40 40 


40 45 


40 50 


40 55 


40 60 


40 65 


40 70 


40 75 


40 80 


4085 


40 90 


40 95 


45 45 


45 50 


45 55 


45 60 


4565 


4570 


45 75 


4580 


4585 


4590 


45 95 


50 50 



3% 



50 55 



•3228 
•3368 

•3503 
•3628 

•3732 

'3810 

•3878 
•3926 

•3955 
•3977 

•3987 
•3987 
•3258 

•3439 
•3602 

•3760 
•3906 
•4025 

•41 13 
•4190 

•4243 
•4276 

•4301 

•4312 

•4313 

•3650 

•3844 
•4032 

•4206 
•4347 

•4450 

•4539 
•4600 

•4639 
•4668 

•4681 
•4681 
•4071 
♦4296 
•45<^4 
•4672 

•4795 
•4897 

•4965 
•5008 

•5038 
•5052 
•5052 
•4564 
•4819 



Ages 



SO 60 
50 65 
50 70 
5075 
SO 80 

5085 
50 90 

59 95 
55 55 
55 60 

5565 

55 70 

55 75 
5580 

5585 

5590 

55 95 

60 60 

60 65 
60 70 

60 75 
60 80 
60 85 
60 90 
60 95 

6565 
65 70 

65 75 
65 80 

6585 
65 90 

65 95 
70 70 

70 75 
70 80 

70 85 
70 90 
70 95 
75 75 
75 80 

7585 
75 90 
75 95 
80 80 

80 85 

80 90 
8095 
8585 
85 90 

8595 



3% 



•5030 
•5186 

•5314 
•5400 

•5453 

•5488 

•5504 
•5506 

•5132 
•5398 

•5600 

•5773 
•5891 

•5965 
•6016 

•6039 
•6041 

•5722 

•5975 
•6199 

•6358 
•6458 

•6531 
•6566 

•6566 
•6275 

•6550 
•6746 

•6872 

•6963 

•7004 
•7007 

•6886 
•7137 
•7303 
•7428 

•7485 
•7486 

•7439 
•7645 
•7809 

•7887 
•7881 
•7882 
•8077 

•8173 
•8161 

•8310 

•8429 

•8405 



n 



% 



For explanation see pp. 31, 32 



(175) 



J 



MORTALITY TABLES— TWO LIVES 



Single Payment to secure £1 at the Death of the Last of Two Lives according 
to the INSHTUTE OF ACTUABIES HEALTHY MALES TABLE 



Ages 



10 
20 

30 
40 

50 

6o 

8o 
90 

15 

20 

25 
30 

35 
40 

45 
50 

55 
60 

70 

80 
90 



20 20 
20 25 
20 30 

2035 
20 40 

2045 
20 50 

20 55 
20 60 
20 70 
20 80 
20 90 
2525 

2530 
2535 
25 40 
25 45 
2550 

2555 
25 60 

25 70 
25 80 

25 90 
30 30 
30 35 
30 40 

3045 
30 50 



3<V 
/o 

•1761 
•1981 
•2167 
•2330 
•2467 

•2568 
•2630 
•2659 
•2671 
•2005 

•2132 
•2245 

•2354 

•2455 
•2548 

•2634 
•271 1 
•2777 
•2832 
•2909 

•2946 
•2960 
•2281 

•2515 
•2545 
•2666 
•2778 
•2881 
•2972 
•3051 

•3118 
•3212 
•3260 
•3281 
•2571 

•2725 
•2868 
•3000 
•3121 
•3227 

•3318 

•3393 
•3498 
•3551 
•3574 

•2905 
•3076 

•3235 
•3380 

•3506 



3*% 



•1350 

•1548 
•1721 
•1879 
•2016 

•2121 
•2187 
•2219 
•2233 
•1568 

•1683 
•1787 
•1890 
•1986 
■2088 

•2163 
•2241 
•2309 
•2367 
•2449 

•2489 
•2506 
•1819 
•1942 
•2064 

•2181 
•2290 
•2392 

•2485 
•2567 

•2637 
•2738 
•2791 
•2814 
•2086 

•2230 
•2368 

•2497 
•2617 

•2724 

•2818 
•2897 
•3010 
•3068 

•3093 
•2400 
•2564 
•2719 
•2863 
•2992 



O/ 



^o 



•1043 
•I2I8 
•1376 
•1527 

•1662 

•1769 
•1838 

•1873 
•1888 

•1235 

•1338 

•1432 

1526 

•I6I8 
•1705 
•1789 

•1866 

•1935 
•1995 

•2081 
•2125 

•2143 

•1459 
•I57I 
•1684 

•1794 
•1898 
•1998 

•2091 

•2174 

•2246 

•2352 

•2410 

•2435 

•1702 

•1835 

•1964 
•2088 

•2205 

•2312 

•2407 
•2489 

•2608 

•2670 

•2698 
•I99I 

•2146 
•2295 

•2436 
•2564 



Ages 



30 55 
30 60 
30 70 
30 80 
30 90 

35 35 
35 40 
35 45 
35 50 
35 55 
35 60 
35 70 
35 80 

35 90 
40 40 

40 45 
40 so 

40 55 
40 60 
40 70 

40 80 
40 90 

45 45 
45 50 
45 55 
45 60 
45 70 
45 80 
45 90 
5050 

50 55 
50 60 
50 70 
50 80 

50 90 i 

55 55 
55 60 I 
55 70 
55 80 
55 90 
60 60 j 

60 80 

60 90 ; 
70 70 

70 80 

8090 I 
90 90 j 



For explanation see pp. 31, 32 



Oy 



^o 



•3615 

•3703 
•3826 
•3888 
•3914 

•3278 

•3469 

•3645 
•3800 

■3931 

•4038 
•4184 

•4255 
•4285 

•3697 
•391 1 
•4101 
•4263 
•4396 
■4574 

•4659 
•4694 

•4167 

•4402 

•4606 

•4774 
•5001 

•5109 

■5153 
•4685 

•4938 
•5152 

•5445 
•5586 

•5643 

•5247 
•5515 
•5897 
•6085 

•6162 

•5843 
•6333 
•6586 
•6693 
•7061 

•7496 
•7700 
•8125 

8471 
•8948 



3i% 



•3103 
•3196 

•3328 

•3395 
•3424 
•2758 
•2945 
•3120 
•3276 

•341 1 

•3524 
•3680 

•3758 

•3793 
•3167 

•3380 

•3573 
•3740 

•3879 
•4070 

•4164 
•4203 

■3637 

•3875 
•4085 

•4261 

•4504 
•4623 
•4672 
•4162 

•4424 
•4648 

•4963 
•521 1 

•5182 

•4744 
•5026 

•5436 
•5642 

•5729 

•5372 
•5898 
•6177 
•6297 
•6685 

•7165 

•7393 
•7862 ■ 
•8251 

•8789 



4% 



•2676 

•2773 
•291 1 

•2983 

•3015 

•2329 
•2508 
•2680 
'2835 
•2972 

•3088 

•3252 

•3336 

•3373 
•2723 

•2931 
•3123 
•3292 

•3435 
•3635 

•3736 
•3780 

•3183 
•3419 
•3632 

•3814 
•4069 

•4197 
•4251 
•3707 

•3973 
•4203 

•4534 
•4700 

•4771 

•4298 

•4589 
.5020 

•5242 
•5337 
•4946 
•5501 
•5802 

•5933 
•6335 

•6853 
•7105 
•761 1 
•8039 
•8634 



{176) 



MORTALITY TABLES— TWO LIVES 



Annual Payment during the Continuance of either of Two Lives to 
£1 at the Last Death according to the 
INSTITUTE OF ACTUARIES HEALTHY MALES TABLE 



secure 



Ages 



10 10 1 

10 20 ! 

10 30 
10 40 
10 50 

10 60 
10 70 
10 80 
10 90 

15 15 

15 20 

1525 
15 30 

15 35 

15 40 

15 45 
15 50 
15 55 
15 60 
1570 
15 80 
15 90 
20 20 
20 25 
20 30 

20 35 
20 40 

20 45 
20 50 
20 55 
20 60 
20 70 
20 80 
20 90 
2525 
2530 
25 35 
25 40 
25 45 
25 50 

2555 
25 60 
2570 
25 80 
25 90 
30 30 
30.35 
30 40 
30 45 
3050 



•0062 
'0072 
■0081 
•0088 
•0095 

•oioi 
•0104 
•0105 
•0106 
•0073 

•0079 
•0084 
•0090 
•0095 
•0100 

•0104 
•0108 
•01 12 
•01 1 5 
•0120 

•0122 
•0122 
•0086 
•0093 
•0099 

•0106 
•0112 
•01 18 
•0123 
•0128 

•0132 
•0138 
•0141 
0142 

'OIOI 

0109 
•01 17 
■0125 
•0132 

•0139 
•0145 

•0150 

•0157 

•0160 
•0162 

•01 19 
•0129 

•0139 

•0149 

•0157 



3i 



O/ 



^o 



a 



o 



•0053 
•0062 
•0070 
•0078 
•0085 

•0091 
•0095 
•0096 
•0097 
•0063 

•0068 
•0074 
•0079 
•0084 
•0089 

•0093 ! 
•0098 
•0102 
•0105 

•Olio 

•01 12 
•OII3 
•0075 
•0082 
•OOS8 

•0094 
•0100 
•0106 
•01 12 
•01 17 

•01 2 1 
•0127 
•01 3 1 
•0132 
•0089 

•0097 
•0105 
•01 13 
•0120 
•0127 

•0133 
•0138 

•0146 

•0150 

•0152 

•0107 
•OII7 
•0126 
•0136 
•0144 



•0045 

•0053 

•0061 

•0069 

•0077 

•0083 

•0087 

•0089 

•0090 

•0054 

•0059 

•0064 

•0069 

•0074 

•0079 

•0084 

•0088 

•0092 

•0096 

•OIOI 

•0104 

•0105 

•0066 

•0072 

•0078 

•0084 
I -0090 
•0096 
•0102 
•0107 

•01 1 1 
•01 18 
•0122 
•0124 
•0079 

•0086 
•0094 
•OIOI 

•0109 
•01 16 

•0122 
•0127 
•0136 

•0140 
•0142 
•0096 

•0105 
•01 15 
•0124 
•0133 



Ages 

3055 
30 60 
3070 
30 80 , 

30 90 ! 

35 35 
35 40 
35 45 
35 50 
35 55 
35 60 
35 70 
3580 

3590 
40 40 

404s 
40 50 
40 55 
40 60 

40 70 
40 80 
40 90 

45 45 
4550 
1 45 55 
1 45 60 
4570 
4580 

1 4590 
50 50 

50 55 
50 60 
50 70 
50 80 
50 90 

55 55 
5560 

5570 
55 80 
55 90 
60 60 
60 70 
60 80 
60 90 
70 70 
70 80 
70 90 
80 80 
' 80 90 
ii 9090 



3^ 

•0165 
•01 7 1 
•0181 
•0185 
•0187 

•0142 

•0155 
•0167 

•0178 

•0189 

•0197 
•0209 
•0216 

•02 T 8 
•01 7 1 
•0187 
•0203 
•0216 
•0228 
•0246 

•0254 
•0258 
•0208 
•0229 
•0249 
•0266 
•0291 
•0304 
•0310 
•0257 

•0284 
•0310 

•0348 
•0369 

•0377 
•0322 
•0358 
•0419 

•0453 
•0468 

•0409 

•0503 

•0562 

•0590 

•0700 

•0872 

•0975 
•1262 

•1613 

•2478 



Zl"} 



o 



•0152 

•0159 

•0169 
•0174 

•0176 

•0129 
•0I4I 

•0153 

•0165 

•017s 

•0184 
•0197 
•0204 
•0207 

•0157 

•0173 
•0188 

•0202 
•0214 
•0232 

'024I 

•0245 
•0193 

•0214 

•0234 
•0251 

•0277 
•0291 
•0297 
•0241 

•0268 

•0294 

•0333 
•0354 
•0364 

•0305 
•0342 
•0403 
•0438 

•0454 

•0393 
•0486 

•0546 

•0575 
•0682 

•0855 

•0959 
•1244 

•1595 
•2454 



For explanation see pp. 3^ 32 



(i77> 



4% 

•0141 
•0148 
•0158 
•0164 
•0166 

•on 7 
•0129 
•0141 
•0152 
•0163 
•0172 

•0185 

•0193 
•0196 

•0144 

•0160 

•0175 

•0189 
•0201 
•0220 

•0229 

•0234 

•0180 
•0200 
•0219 

•0237 

•0264 
•0278 
•0284 
•0227 

•0254 

•0279 

•0319 
•0341 
•0351 

•0290 
•0326 

•0388 

•0424 
•0440 

•0376 

•0470 
•0532 

•0561 
■0665 
•0838 
•0944 

•1225 

•1577 
•2431 



lif^ 



'1 

* 1 



■i 



■1 






i 



\ 



MORTALITY TABLES— TWO LIVES 



1 



Value of the Eeversion to a Perpetuity on the Death of the FIRST 

of Two Lives 



Ages 



15 IS 

20 20 
25 25 
30 30 

35 35 

40 40 

45 45 
5050 

55 55 
60 60 

6565 
70 70 

75 75 
80 80 

8585 



NORTHAMPTON 



3% 



18-113 
19-200 
19-950 
20-744 

2I-6II 

22-569 

23-557 

24-619 
25-652 
26-727 

27-862 
29-072 

30-219 
31-211 
32-024 



Oy 



''O 



1 1 -589 
12-465 
13056 
13-687 
14-388 

15-180 
16-010 
16-919 
17-821 
18-774 

19799 
20-913 
21-985 
22-932 
23-661 



O /o 



8-036 

8-768 

9-236 

9-745 
10-320 

10-984 
1 1 -688 
12-478 
13-265 
14-112 

15-040 
16-070 
17-083 
17-982 
18744 



HEALTHY MALES 



3% 



13-467 
14-752 
15-763 
16-960 
18-238 

19-623 
21-171 
22-791 
24-466 
26-134 

27-681 
29-111 

30-346 
31-285 

31-931 



Q 1 0/ 
O2 /o 



10 -208 
11-316 
12-176 
13-215 
14-338 

15-572 
16-974 

18-459 
20-017 

21-588 

23-060 

24-434 
25-632 

26-549 

27-184 



4% 



7-957 
8-919 

9-654 
10-560 

11-550 

12-652 
13-924 

15-290 
16-740 
18-221 

19-623 
20-944 
22-107 
23-003 
23-627 



Ages 



15 15 
20 20 

25 25 

30 30 

35 35 

40 40 

45 45 
50 50 

60 60 

6565 
70 70 

75 75 
80 80 

8585 



Value of the Keversion to a Perpetuity on the Death of the LAST 

of Two Lives 



Ages 



NORTHAMPTON 



3% 



15 15 
20 20 

25 25 

30 30 

35 35 

40 40 

45 45 
50 50 

55 55 
60 60 

6565 
70 70 

75 75 
80 80 

8585 



9-318 
10-190 
1 1 -088 
12-078 
13-179 
14-401 
15725 

17-175 
18714 

20-385 

22-196 
24-126 
26 -049 

27-893 
29 -402 



a 



o 



4-829 

5-469 
6-068 
6-751 

7-534 

8-426 

9-424 

10-553 
11777 

13-148 

14-639 
16-365 
18-053 
19-782 
21-253 



50Z 
To 



2-784 
3-218 
3-630 
4-111 
4-676 

5-342 
6-I02 

6-984 
7-971 

9-104 

10-408 

11-884 

13-429 
14-988 
16-314 



HEALTHY MALES 



3 0/ 



6-883 
7-830 
8-828 
9-972 

11-254 

12-691 
14-308 
1 6 084 
18013 
20 060 

22-149 
24-243 
26-198 
27-897 
29-258 



3i% 



4% 



4-636 
5-378 
6-169 
7-096 
8-155 

9-366 

10-755 
12-309 

14-029 

15-885 

17-810 
19-769 
21-622 
23-250 
24-564 1 



3-210 

3-793 
4-424 
5-178 
6-056 

7-078 

8-275 

9-638 

11-175 

12-861 

14-637 
16-470 

18-228 
19-788 
21-058 



Ages 



15 15 


20 20 


2525 


30 30 


3S 3S 


40 40 


45 45 


50 50 


55 55 


60 60 


6565 


70 70 


75 75 


80 80 


8585 



For explanation see p. 32 



(i78i 



MORTALITY TABLES— TWO LIVES 



Value of an Annuity during the Life of y after the Death of x 



Age of 

X 



45 
45 
45 
45 
45 

60 
60 
60 
60 
60 



Age of 

y 



Northampton 



20 

25 
30 

35 
40 

20 

30 

35 
40 

50 



3% 



Carlisle 



75 


30 


75 


40 


75 


50 


75 


60 


75 


70 



7-271 

6-650 

5-998 
5-315 

4-612 

10-042 

8-544 
7711 

6-822 
4-975 

12-157 
10-191 

7-964 
5-588 

3-135 



3% 

7-487 
6-711 
5-906 
5-102 

4-275 

1 1 -91 2 

10-027 

9-023 

7-919 

5-574 

14-343 
12-028 

9-281 

5-993 
3-319 



Healthy Males 



O/ 



^o 



3i 



2% 



7-849 

7-025 

6-136 
5-225 
4-314 

12-392 
10-382 

9-233 
8-006 

5-410 

15-008 
12-389 
9-281 
6-003 

3-147 



6-790 
6-126 

5-397 

4639 
3-868 

10-940 
9-284 
8-316 
7-265 
4990 

13-665 

1 1 -422 

8-672 

5-688 

3-023 



O/ 



-X) 



5-904 
5-366 

4-766 

4-132 
3-479 

9-702 

8-332 
7-513 

6-61 1 
4-612 

12-486 

IO-557 
8-II7 

5 -395 
2-906 



Value of an Annuity during the Life of y, who is to be nominated at the 

Death of x 





Age of 


Age of 


y at 


X 


Death 




of X 
10 


45 


45 


25 


45 


30 


45 


35 


45 


40 


60 


10 


60 


30 


60 


35 


60 


40 


60 


50 


75 


10 


75 


30 


75 


SO 


75 


60 


75 


70 



Northampton 



a 



o 



12-393 
10-763 

10-253 

9-690 

9-066 

14-863 
1 2 -296 
11-621 
10-873 
9-218 

17-751 

14-685 

1 1 -010 

8-831 

6-338 



Carlisle 



3% 



12*473 
1 1 -024 

10-460 

9-888 

9-232 

16-308 
13-676 
12-929 
12-071 
10-181 

19-863 

16-657 

12-400 

9-311 

6-582 



Healthy Males 



3% 



12-994 
1 1 -387 
10-782 
10-120 

9-391 

16-918 

14-038 
13-177 
12-228 
10-021 

20-708 

17-183 

12-266 

9-252 

6-305 



3*9 



o 



10-762 

9-564 
9-103 

8-591 

8-018 
14-544 

12-302 
1 1 -610 

10-836 
8-989 

18-340 

15-512 
11-335 

8-657 
5968 



O/ 



^o 



8-998 

8-094 

7 740 

7-341 
6-888 

12-598 
10-837 
10-279 

9*644 
8-091 

16-348 

14-063 

10-499 

8-113 

5657 



r 

I 



For explanation see p. 33 



(179) 



MORTALITY TABLES -TWO LIVES 



t- 



Single Payment to aecnre £1 at the Death of x provided he dies before v, 
according to the NOSTHAMPION TABLE 



Ages 



X V 

15 15 

20 10 

20 20 

25 15 

25 25 

30 10 

30 20 

30 30 

35 15 

35 25 

35 35 

40 10 

40 20 

40 30 

40 40 

45 15 

45 25 

45 35 

45 45 

50 10 



/o 



•26366 
•30838 
•27962 

•31846 
•29054 

•36038 
•32987 
•30210 

■37643 
•34755 

•31472 
•42717 

•39579 
•36815 

•32868 

•45053 
•42208 

•38980 

•34306 

•50891 



Ages 



X y 

50 20 

50 30 

50 40 

50 50 

55 15 

55 25 

55 35 

55 45 

55 55 

60 10 

60 20 

60 30 

60 40 

60 50 

60 60 

65 10 

65 15 

65 20 

65 25 

65 30 



3% 



•47767 
•45221 

•41378 

•35853 
•53896 

•51226 

•48319 
•43830 

•37357 
•60306 

•57287 

•55136 

•51734 
•46567 

•38923 

•65695 
•64308 

•62784 

•61920 

•60899. 



Ages 


X 


» 


65 


35 


55 


40 


§5 


45 


65 


50 


65 


5S i 


65 


60 1 


65 


65 i 


70 


10 ! 


70 


15 


70 


20 



3% 



70 

70 
70 
70 
70 



25 
30 

35 
40 

45 



70 


50 


70 


ss 


70 


60 


70 


65 


70 


70 



•59587 

•57855 
•55766 

•53073 
•49904 

•45822 
•40576 
•71527 

•70284 

•68822 

•68087 
•67236 

•66139 
•64650 
•62843 

•60461 

•57691 
•54027 

•49029 

•42338 



Single Payment to secure £1 at the Death of x provided he dies before «, 

according to the CABLISLE TABLE 



Ages 



15 15 

20 10 

20 20 

25 15 

25 25 

30 10 

30 20 

30 30 

35 15 

35 25 

35 35 

40 10 

40 20 

40 30 

40 40 

45 15 

45 25 

45 35 

45 45 

SO 10 



3% 



•2101 
•2503 
•2234 
•2705 
•2391 

•3190 
•2928 
•2556 
•3427 
•3136 

•2710 
•3959 

•3733 
•3388 
•2891 

•4262 
•4018 
•3636 
•3052 
•4880 



Ages 



3% 



50 
50 
50 
50 
55 

55 
55 
55 



60 
60 
60 
60 
60 

65 
65 
65 
65 
65 



y 
20 

30 
40 

50 

15 

25 

35 

45 

55 
10 

20 

30 
40 

60 

10 

15 
20 

25 
30 



•4681 
•4400 

•3965 
•3260 

•5409 
•521 1 

•4931 
•4454 
•3528 

•6147 

•5986 
•5766 

•5472 
•4917 

•3792 

•6673 
•6592 
•6531 
•6439 
■6332 



Ages 



3% 



65 


35 


•6236 


55 


40 


•6088 


65 


45 


•5940 


65 


50 


i -5644 


65 


5S 


•5137 


65 


60 


•4534 


65 


65 


•3973 


70 


10 


•7276 


70 


15 


•7205 


70 


20 


•7161 


70 


25 


•7082 


70 


30 


•6986 


70 


35 


•6908 


70 


40 


•6788 


70 


45 


•6692 


70 


50 


•6475 


70 


SS 


•6034 


70 


60 


•5464 


70 


65 


•4956 


70 


70 


•4190 



For explanation see p. 34 



<i8o) 



MORTALITY TABLES— TWO LIVES 



Single Payment to secnre £1 at the Death of x provided he dies before y, 
according to the INSTITUTE OF ACTUABIES HEALTHY MALES 
TABLE 



Ages 



X 9 
15 15 

IS 25 
15 35 
15 45 
1555 

15 70 
20 15 
20 20 
20 30 
20 40 

20 50 
20 60 
20 70 

25 15 
25 20 

25 25 
25 35 
25 45 
2555 
25 70 

30 15 
30 20 

30 25 
30 30 
30 40 

30 50 
30 60 
30 70 

35 15 
3520 

3525 
35 30 
35 35 
35 45 
35 55 

35 70 

40 15 
40 20 

40 25 

40 30 

40 35 
40 40 
40 50 
40 60 
4070 



3% 



Ll 



•1961 
•1638 
•1318 
•1014 
•0730 

•0359 
•2326 
•2148 

•1785 
•1412 

•1061 
•0744 
•0476 
•2662 
•2482 

•2296 
•i860 
•1416 

•lOII 

•0520 

•3057 
•2881 

•2697 

•2470 

•1955 

•1430 
•0970 
•0603 
•3486 
•3321 

•3148 
•2922 
•2656 
•2039 
•1426 

•0705 

•3956 
•3804 
•3651 
•3438 

•3174 
•2858 

•2121 

•1408 

•0844 



3i°/ 



o 



•1726 
•1467 
•1204 
•0944 
•0690 

•0347 
•2101 
•1913 
•1619 
•1306 

•0999 
■0713 

•0461 

•2358 
•2209 

•2059 
•1697 
•1318 

•0959 
•0504 

•2720 

•2574 
•2422 

•2234 
•1799 

•1342 
•0927 

•0585 
•3123 
•2983 

•2841 
•2650 

•2424 
•1892 

•1349 
•0683 
•3574 
•3443 
•3314 
•3132 

•2905 
•2633 
•1986 

•1342 
•0817 



4% 



•1530 
•1322 
•I 105 
•0882 
•0655 

•0336 
•1831 

•1715 

•1475 
•1212 

•0943 
•0683 

•0447 
•2101 

•1979 

•1857 
•1556 
•1231 
•091 1 
•0489 

•2434 
•2312 

•2187 

•2031 

•1662 

•1262 
•0886 
•0567 
•281 1 
•2693 

•2573 
•2412 

•2221 

•1762 

•1277 

•0662- 

•3243 
•3129 

•3019 

•2864 

•2669 

•2433 
•1863 

•1280 

•0791 



Ages 



45 15 
45 20 
45 25 
45 30 
45 35 

45 40 
45 45 
45 55 
45 70 
50 15 

50 20 

50 25 

50 30 

50 35 
50 40 

5045 
50 50 
50 60 
50 70 

55 15 

55 20 
55 25 
55 30 
55 35 
55 40 

55 45 

55 50 

55 55 

55 70 
60 15 

60 20 
60 25 
60 30 

60 35 
60 40 

6045 
60 50 

60 60 

60 70 

70 20 

70 30 
70 40 
7050 
70 60 
70 70 



3% 



•4483 

•4343 
•42 1 1 

•4022 
•3778 

•3466 
•3083 
•2217 
•1068 

•5045 

•4917 
•4808 

•4647 

•4433 
•4146 

•3769 

•3319 
•2303 

•1388 
•5643 

•5524 
•5439 
•5304 
•5124 

•4877 

•4531 
•4092 

•3563 
•1850 
•6264 

•6154 
•6086 

•5976 
•5832 
•5630 

•5332 

•4934 
•3806 
•2484 
•7370 

•7263 
•7058 
•6598 
•5681 

•4239 



3i% 49 



•4091 

•3969 
•3856 

•3693 
•3480 

•3207 
•2870 
•2094 
•1033 
•4655 

-4541 
•4445 
•4303 

•41 15 
•3861 

•3524 
•3121 
•2196 

•1342 
•5268 

•5160 
•5082 
•4961 
•4800 

•4579 

•4266 
•3868 

•3384 
•1790 

•591 1 

•5809 

•5747 
•5647 
•5516 

•5331 

•5060 
•4694 
•3650 
•2409 
•7098 

•6995 
•6803 

•6371 

•5503 

•4131 



3746 
3638 
3540 
3399 
3213 

•2975 
•2678 

•1982 

•1000 

•4307 

•4205 
•4120 

•3995 
•3828 

•3603 

•3302 
•2940 
•2097 
•1300 

•4925 

•4828 
•4758 
■4649 
•4505 
•4305 

•4023 
•3661 
•3219 

•1734 

•5588 

•5493 
•5436 

•5345 
•5226 

•5057 

•4808 

•4471 
•3504 
•2336 
•6840 

•6744 

•6563 

•6155 

•5335 
•4028 



For explanation see p. 34 



(181) 






MOETALITY TABLES— THREE LIVES 



Value of an Annuity for the Joint Continuance of Three Lives of Equal 
Ages according to the NORTHAMPTON TABLE 



Ages 


4% 


10 10 10 


I2-2CX) ' 


II II II 


12-043 


12 12 t2 


11-865 !i 


13 13 13 


11-678 ! 


14 14 14 


11-481 


15 15 15 


1 1 -274 


16 16 16 


1 1 -056 


17 17 17 


10-845 ' 


18 18 18 


10-656 


19 19 19 


10-490 


20 20 20 


10-342 


21 21 21 


10-222 


22 22 22 


IO-I18 


23 23 23 


IO-OI2 


24 24 24 


9905 


25 25 25 


9-796 


26 26 26 


9-685 


27 27 27 


9-572 


28 28 28 


9*457 


29 29 29 


9*340 1 



Ages 



4% 



30 30 30 

31 31 31 

32 32 32 

33 33 33 

34 34 34 

35 35 35 

36 36 36 

37 37 37 

38 38 38 

39 39 39 

40 40 40 

41 41 41 

42 42 42 

43 43 43 

44 44 44 

45 45 45 

46 46 46 

47 47 47 

48 48 48 

49 49 49 



9-221 
9-099 

8-975 
8-848 

8-718 

8-585 
8-448 
8-309 
8-165 
8-017 

7-865 
7-714 

7 5^7 
7*423 
7-276 

7-126 
6972 
6-813 
6-650 
6482 



Ages 



50 50 50 

51 51 51 

52 52 S2 

53 53 53 

54 54 54 

55 55 55 

56 56 56 

57 57 57 

58 58 58 

59 59 59 

60 60 60 

61 61 61 

62 62 62 

63 63 63 
65 65 65 
70 70 70 

75 75 75 
80 80 80 

85 85 85 
90 90 90 



O/ 



^o 



6-317 
6-161 
6-01 1 

5-859 
5*705 

5*550 

5*393 

5*235 
5-076 

4-916 

4-755 
4 593 
4*432 
4 263 

3*914 

2-995 
2-119 

1-400 

-782 

563 



Value of an Annuity for the Joint Continuance of Three Lives according 

to the CARLISLE TABLE 



Ages 



25 30 

26 31 

27 32 

28 33 

29 34 

3035 

31 36 

32 37 



o 

I 

2 

3 

4 

5 
6 

7 

83338 
9 34 39 

10 35 40 

11 36 41 

12 37 42 

13 38 43 

14 39 44 

15 40 45 

16 41 46 

17 42 47 

18 43 48 

19 44 49 

20 45 50 

21 46 51 

22 47 52 

23 48 53 

24 49 54 



30/ 
/o 



8-460 

9-684 

10-257 

10-726 

10-930 

11-056 
1 1 063 
11-009 
10-910 
10-780 

10-632 
10-479 
10-331 
10-182 
10-029 

9-877 

9*732 
9-588 

9*438 
9-270 

9-088 
8-887 
8-676 

8-454 
8-215 



Ages 



3% 



Ages 



25 50 55 


1 7*959 


26 51 56 


7*689 


27 52 57 


7-4x1 


28 53 58 


7*133 


29 54 59 


6-870 


30 55 60 


6-626 


31 56 61 


6-405 


32 57 62 


6-183 


33 58 63 


5*959 


34 59 64 


5*734 


35 60 65 


5*519 


36 61 66 


5*318 


37 62 67 


5-112 


38 63 68 


4-900 


39 64 69 


4-673 


40 65 70 


4*439 


41 66 71 


4-192 


42 67 72 


3*953 


43 68 73 


3*729 


44 69 74 


3*520 


45 70 75 


3336 


46 71 76 


3*145 


47 72 77 


2-971 ; 


48 73 78 


2-806 


49 74 79 


2-637 



5075 
51 76 

52 77 
5378 
54 79 
5580 

56 81 

57 82 
5883 

59 84 

60 85 

61 86 

62 87 

63 88 

64 89 

65 90 

66 91 

67 92 

68 93 

69 94 

70 95 100 

71 96 lOI 

72 97 102 

73 98 103 



80 
81 
82 

83 
84 

85 
86 

87 
88 

89 
90 

91 
92 
93 
94 

96 

97 
98 
99 



3% 



For explanation see p. 35 



2-499 

2*349 
2-220 
2 -086 
1-942 

1-796 
1*652 
1*530 
1*437 
1*334 
I -184 
1-109 
1-095 
1-117 
i-iii 

1-064 

1*055 
1-070 

i-ioo 

I -081 

•946 

•756 

•509 
•230 



(182) 



MORTALITY TABLES— THREE LIVES 



Value of an Annuity for the Joint Continuance of Three Lives of Equal Ages 
according to the INSTITUTE OF ACTUARIES HEALTHY MALES TABLE 



Ages 



O 

I 
2 

3 

4 

5 
6 

7 
8 

9 
10 
II 
12 

13 
14 

15 
16 

17 
18 

19 
20 
21 
22 

23 
24 

25 
26 

27 
28 
29 

30 

31 
32 
33 
34 

36 
37 
38 
39 
40 

41 
42 

43 
44 

46 

48 
49 



0/ 



^o 



11*534 
16-013 

17*358 
18-100 

18-534 
18-833 
19-006 
19-072 
19-046 
18*946 

18-787 
18-589 
18-361 
18-110 
17-846 
17-572 
17*300 
17-030 

16-773 
16-526 

16-293 
16-073 
15-861 
15-656 

15*453 
15-251 
15*046 

14*837 
14-623 

14*404 

14-179 

13*947 
13-710 

13-467 
13-218 

12*964 
12-704 
12-439 
12-167 
1 1 -892 
1 1 -61 2 
11-327 
11-037 
10-746 
10*449 
10-150 

9*847 
9*543 
9*237 
8-930 



3i% 



4% 



10-633 


9*850 


14-760 


13-669 


16-004 


14-824 


16-696 


15*470 


17*107 


15*859 


17*393 


16*134 


17*567 


16-305 


17*642 


16-386 


17*633 


16-391 


17*555 


16-332 


17*424 


16-222 


17*257 


16-079 


17*060 


15-910 


16-843 


15-720 


i6*6i2 


15-518 


16-372 


15-305 


16-132 


15*093 


15*895 


14-884 


15-669 


14*683 


15*452 


14-492 


15-248 


14-312 


1505s 


14-142 


14-870 


13*979 


14*691 


13-823 


14*514 


13-668 


14*337 


13*513 


14*159 


13*356 


13*976 


13*194 


13*787 


13*028 


13*593 


12*857 


13*394 


12-681 


13-189 


12-497 


12-978 


12*309 


12-761 


12*114 


12-538 


11*914 


12-309 


1 1 *7o8 


1 2 075 


1 1 *497 


11-836 


1 1 -280 


11*590 


1 1 -057 


11*339 


10-829 


1 1 084 


10-596 


10-824 


10-358 


10-559 


10-115 


10-291 


9-868 


10-018 


9-616 


9-742 


9*360 


9-462 


9*101 


9-180 


8*839 


8-895 


8-573 


8608 


8-305 



Ages 

1 


3% i 
8-621 


3i% 

8*320 


4% 1 


50 


8-036 


51 


8-312 


8*030 


7*764 


52 I 


8 004 


7*740 


7*492 


53 


7*696 i 


7*451 


7-219 


54 


7*389 


7*161 


6*945 


55 


7-085 : 


6-873 


6-673 


56 


6-783 


6-587 


6-401 


57 


6-483 


6-303 


6131 


58 


6-187 ! 


6 -02 1 


5-862 


59 


5*895 1 


5*742 


5*597 


60 


5*607 


5*468 


5*334 


61 


5*325 


5*197 


5*075 


62 


5-048 1 


4*931 


4-820 


63 


4*777 


4*671 


4*569 


64 


4*512 


4*416 


4*324 


$5 


4*254 


4*167 


4-084 


66 


4*004 1 


3*925 


3*850 


67 


3*760 


3*690 : 


3-622 


68 


3*525 


3*462 1 


3*401 


69 


3*297 


3*241 I 


3*186 


70 


3*078 


3*028 


2-979 


71 


2-868 


2-823 


2-779 


72 


2-665 


2-626 


2-587 


73 


2-472 


2-437 


2-402 


74 


2-287 


2*256 


2-226 


?? 


2*111 


2*083 


2-057 


1*943 


1*919 


1-896 


77 


1*784 


1*764 


1-743 


78 


1*634 


1*616 


1*598 


79 


1*492 


1*476 


I 460 


80 


1*358 


1*344 


1*331 


81 


1*232 


1-220 


1*208 


82 


I-II4 


1*104 


1*094 


83 


1*004 


*995 


•987 


84 


*90i 


•894 


•886 


^ 


•806 


•799 


•793 


•717 


•711 


•706 


87 


•635 


•630 


i -626 


88 


•559 


•555 


•551 


89 


•490 


*486 


*483 


90 


•425 


•423 


-420 


91 


•368 


•366 


•363 


92 


•317 


•315 


•313 


93 


•266 


*264 


•263 


94 


•226 


•225 


•224 


95 


*i87 


•186 


*i85 


96 


•157 


•157 


•156 


97 


*I46 


•145 


*i45 


98 


•112 


•112 


*iii 


99 


*o87 


-086 


086 


100 


-015 


i -015 


•015 



(I 



j 



For explaoaation see p. 35 



(183) 



( 



MORTALITY TABLES— THREE LIVES 



CONVERSION TABLES 



Value of an Anniiity during the Longest of Three Liyes according to 

the NOSTHAMFTON TABLE 



Ages 



10 10 

o 10 30 
10 50 
o 10 70 

O 20 20 

O 20 40 
O 20 60 

o 25 25 

o 25 45 
o 25 65 

O 
O 
O 
O 
O 

o 
o 
o 



o 

o 
o 



o 
o 



o 
5 
5 

s 

5 35 35 
5 35 55 
5 35 75 
5 45 45 
5 45 05 

5 55 55 
5 55 75 
5656s 
20 20 20 
20 20 40 

20 20 60 
20 25 25 
20 25 45 
20 25 65 
20 30 30 

20 30 50 
20 30 70 

203535 
203555 
2035 75 



30 30 
30 50 
30 70 
35 35 
35 55 

35 75 
40 40 

40 60 

45 45 
4565 

5050 
50 70 

55 55 
55 75 
60 60 

6565 
70 70 

25 25 
2545 
25 65 



O/ 



^o 



O/ 



^o 



26-642 
25-812 

25340 
25-007 

25-707 

24645 

24-292 

25-077 

24-401 

23-905 
24785 

23-780 

23-472 

24-217 

23-251 

23-029 

23746 
22-878 
23-271 

22-462 

22-647 
22-028 
22-341 
21-768 
22-004 

21-464 
21-308 

24773 
23-932 

23-375 
23738 

22-687 

22 -407 
22-681 
21-783 

21-639 
21-032 
20781 
25-152 
23-941 

23*372 
24-430 
23-488 
22-867 
23-980 

22-795 
22-390 
23-282 
22-129 
21-805 



21-938 
21-400 
20-835 
20-781 
21-263 

20 -606 
20-333 

20-944 
20-491 
20-077 

20-635 
20 -02 1 
19-746 
20-380 
19-628 

19-426 
19-851 

19-351 
19-495 
19-035 
19-202 
18-664 
18-958 
18-484 
18-705 

18-225 
i8-iio 
20-776 
20-192 
19-723 

20-078 
19-263 
19-007. 
19-114 
18-581 

18-508 

17-984 
17-800 
20-836 
20-185 

19-740 
20-557 

19-904 
19-369 
20-116 

19-390 

19-045 
19-782 

18-900 

1 8 -602 



Ages 



20 40 AO 
20 40 00 

20 45 45 
20 45 65 
20 50 50 

20 50 70 
20 55 55 
20 55 75 
20 60 60 
20 65 65 

20 70 70 
30 30 30 
30 30 50 
30 30 70 
30 35 35 

30 35 55 
30 35 75 
30 40 40 
30 40 60 
30 45 45 

30 45 65 
30 50 50 
30 50 70 
30 55 55 
30 55 75 
30 60 60 
30 65 65 
30 70 70 

40 40 AO 

40 40 00 

40 45 45 
40 45 65 
40 50 50 
40 50 70 
40 55 55 

40 55 75 
40 60 60 
40 65 65 
40 70 70 
50 50 50 
50 50 70 
50 55 55 
50 55 75 
50 60 60 
So 65 65 

50 70 70 
60 60 60 
60 65 65 
60 70 70 
70 70 70 



For explanation see p. 35 



(184) 



3% 



-7 

22-762 
21-697 
22-008 
21-123 
21-396 
20-594 
20-948 
20-273 
20-491 
19-983 

19-606 
23-266 
21-896 
21-376 
22-485 

21-141 
20-713 
21-814 
20570 
21-062 

19-902 
20-227 
19-267 
19-670 
18-651 

19-107 
18-251 
18-045 
20-909 
19-414 

20-011 
18-601 
19-020 
17-817 
18-291 

17-264 
17-567 
16-583 
16-237 
17-913 

16-358 

i6'953 
15-618 

15-994 
14-823 

14-269 
14-602 
13-163 
12-280 
10-540 



4% 



19-259 
18-582 
18-741 
18-134 
18-380 

17-704 
18-013 

17-350 
17-671 
17-242 

16-916 
19-625 

18-793 
18-357 
19-250 

18-233 
17-887 
18-628 
17-815 
18-241 

17-298 

17-585 
16-783 
17-164 
16-263 

16-708 

15-971 
15-805 

17-996 

16-997 

17-501 
16-364 
16-731 

15736 
16-174 

15-303 
15-590 

14-747 
14-464 
15-866 

14-633 
15-165 

14-040 

14-394 
13-398 

12-935 
13-194 
12-065 

11-319 
9-817 



r 



Single Premium Conversion Table for Finding by Inspection the Present 
Value of £1 due at Death from the Value of an Annuity for Life 



For explanation see pp. 35-39 



(185) 







Value of £1 at Death 




Value of 
Annuity 










2i% 
•97561 


3% 

•97087 


3i% 


4% 


5% 





•96618 


•96154 


•95238 


I 


•95122 


•94175 


-93237 


•92308 


•90476 


2 


-92683 


-91262 


•89855 


•88462 


•85714 


3 


-90244 


•88350 


•86473 


•84615 


•80952 


4 


-87805 


-85437 


-83092 


•80769 


•76190 


5 


•85366 


•82524 


•79710 


•76923 


•71429 


6 


•82927 


-79612 


•76329 


•73077 


-66667 


7 


•80488 


-76699 


72947 


-69231 


-61905 


8 


•78049 


-73786 


•69565 


•65385 


•57143 


9 


•75610 


-70874 


•66184 


-61538 


•52381 


10 


•73171 


-67961 


•62802 


•57692 


•47619 


II 


-70732 


-65049 


•59420 


•53846 


•42857 


12 


-68293 


-62136 


•56039 


•50000 


•3809s 


13 


-65854 


•59223 


•52657 


•46154 


•33333 


14 


•63415 


-56311 


•4927s 


•42308 


•28571 


16 


-60976 


-53398 


•45894 


•38462 


•23810 


-58537 


•50485 


•42512 


•34615 


-19048 


17 


-56098 


•47573 


•39130 


•30769 


-14286 


18 


•53659 


-44660 


•35749 


•26923 


•09524 


19 


-51220 


-41748 


•32367 


•23077 


•04762 


20 


•48780 


-38835 


•28986 


•19231 


•00000 


21 


-46341 


-35922 


•25604 


•15385 


• • • 


22 


-43902 


•33010 


-22222 


•11538 


• • t 




23 


•41463 


•30097 


-18841 


•07692 


• • 1 




24 


•39024 


-27184 


•15459 


•03846 


• • 




25 


-36585 


-24272 


•12077 


•00000 


• • 




26 


-34146 


-21359 


•08696 


• •• 


• • 




27 


-31707 


•18447 


-05314 


• •• 


• • 




28 


•29268 


•15534 


•01932 


• ■ • 


« • 




29 


-26829 


•12621 


• • • 


• • • 


• • • 


Difference 


Difference (subtractive) of Value of £1 at Death 


of 
Annuity 


2i% 


3% 

-00291 


3i% 


4% 


5% 


•I 


-00244 


•00338 


•00385 


•00476 


•2 


-00488 


-00583 


•00676 


•00769 


•00952 


•3 


-00732 


-00874 


•01014 


•01154 


•01429 


•4 


•00976 


-01165 


•01353 


•01538 


•01905 


•5 


-01220 


-01456 


•01691 


•01923 


•02381 


•6 


-01463 


•01748 


•02029 


-02308 


•02857 


■■l 


-01707 


-02039 


•02367 


-02692 


•03333 


•01951 


-02330 


•02705 


•03077 


•03810 


•9 


02195 


-02621 


•03043 


•03462 


-04286 



1» 



i 



I 



CONVEBSION TABLES 



H t 



i 



Axmaal Premium Conversion Table for Finding by Inspection the Annual 
Premium to secure £1 at Death from the Value of an Annuity 
for Life. INTEREST 3 P£B CENT. 





Annual Premium 


Value of 
Annuity 


Decimals of Value of Annuity 




-0 


•X 


•2 


•3 


•4 


*5 

•6375 


•6 


•7 

•5591 


•8 


• 

•9 


0- 09 


•9709 


•8800 


•8042 


•7401 


•6852 


•5959 


•5264 


•4972 


I- 1*9 


•4709 


•4471 


•4254 -4057 -3875 i -3709 ! -3555 


•3412 


•3280 


•3157 


2- 29 


•3042 


•2935 


•2834 , -2739 


•2650 -2566 -2487 


•241 1 


•2340 


•2273 


3- 39 


•2209 


•2148 


•2090 ; -2034 


•I981 


•1931 1 -1883 


•1836 


•1792 


•1750 


4- 4*9 1 '1709 ; '1670 i -1632 I -1596 


•I561 1 -1527 


•1494 


■1463 


•1433 


•1404 


5- 5^9 •1375! '1348' -1322 

6- 6-9 i -1137 1 •1117 -1098 


•1296 


•1271 -1247 


•1224 


•I 201 


•1179 


•1158 


•1079 


•1060 -1042 


•1025 


•1007 


•0991 


•0975 


7- 7*9 "0959 I '0943 '0928 


•0914 -0899 


•0885 


•0872 


•0858 


•0845 


•0832 


8- 8-9 -0820 -0808 -0796 


•0784 


•0773 


•0761 


•0750 


•0740 


•0729 


•0719 


g- 9-9 -0709 '0699 


■0689 


•0680 


•0670 


•0661 


•0652 


•0643 


•0635 


0626 


io-io*9 '0618 1 -0610 


•0602 


•0594 


•0586 


•0578 


•0571 -0563 


•0556 


•0549 


1I-II-9 ! 0542; 0535 


•0528 


-0522 


•0515 


-0509 


•0502 


•0496 


•0490 


•0484 


12-12-9 -0478 -0472 


-0466 


•0461 


•0455 


•0449 


•0444 


•0439 


•0433 


•0428 


13-13*9 0423 


•0418 


•0413 


•0408 -0403 


•0398 


•0394 -0389 


•0384 


•0380 


14-14-9 


•0375 


•0371 


•0367 


•0362 -0358 


•0354 


•0350 -0346 


-0342 


•0338 


15-15-9 


•0334 


•0330 


•0326 


•0322 -0318 


•0315 


•03 1 1 -0308 


-0304 


•0300 


16-16-9 0297 


•0294 


•0290 


•0287 


•0283 


•0280 


•0277 


•0274 


•0271 


•0267 


17-17-9 


•0264 


•0261 


•0258 


•025s 


•0252 


•0249 


•0246 


-0243 


•0241 


-0238 


18-18-9 


•0235 -0232 


•0230 


•0227 


•0224 


•0222 


•0219 


•0216 -0214 


-02 1 1 


19-19-9 


•0209 S *0206 


'0204 


•0201 


•0199 


•0197 


•0194 


•0192 


•0190 


-0187 


20-209 


•0185 


•0183 


•0180 


-0178 


•0176 


•0174 


•0172 


•0170 


•0167 


•0165 


21-21*9 


•0163 


•0I6I 


•0159 


•0157 


•0155 •0153 


•01 5 1 


•0149 


•0147 


•0145 


22-22*9 


•0144 


•0142 


•0140 


-0138 


-0136 


•0134 


•0132 


•0131 


•0129 


•0127 


23-239 


•0125 


•0124 


•0122 


*0I20 


-01 19 


•01 1 7 


•on 5 


•01 14 


•01 12 1 -Olio 


24-249 


•0109 


•0107 


•0106 


•0104 


•0102 


•QIOI 


•0099 


•0098 


•cx)96 -0095 


25 25*9 


•0093 


•CX592 


•0090 -0089 


•0088 


•0086 


•0085 


•0083 


•0082 -0080 


26-26*9 -0079 


•0078 


•0076 1 -0075 


•0074 


•0072 


•0071 


•0070 


•0068 -0067 


27-27*9 0066 


•0065 


•0063 -0062 


•0061 


•0060 


•0058 


•0057 


•0056 -0055 


28-28*9 0054 


•0052 


•c»5i -0050 


•cx)49 


•0048 


•0047 


•0045 


•0044 


•0043 


29-29*9 -0042 


•0041 


•0040 -0039 


•0038 


•0037 


•0036 


•0034 


•0033 


•0032 


30-30*9 0031 


•0030 


•0029 -0028 


•0027 


•0026 


i -0025 


•CX)24 


•0023 


•0022 


31-31-9 1 -0021 


•0020 


•0019 •cx)i8 


•0017 


•(X)i6 


•0015 


1 -0015 


•0014 


•0013 


32-32-9 1 '0012 


•OCX I 


•cx)io -0009 


-0008 


-0007 


0006 


•0005 


•0005 


,•0004 


33-339 '0003 


•0002 


•0001 -ocxx) 


t * • 

1 


1 ... 
1 


• • • 

) 


• • • 


• • • . • • • 


For interest at I i^ i| if per cent. 


add -0192 -0168 -0143 -0119 


For interest at 2 2^ 2| 2f „ 


add -0095 -0071 -0047 -0024 


For interest at • 3 3i 3h 3f » 


subtract -oooo '0024 -0047 -0070 


For interest at 4 4i 4^ 4f ** 


subtract -0093 -0116 -0139 -0162 


For interest at 5 6 7 81, 




sub 


tract 


-01 


85 


•0275 


-036 


3 •< 


3449 







For explanation see pp. 35-39 



(186) 



RATES 

FOR 

ANNUITIES AND ASSURANCES 

CHARGES BY GOVERNMENT 

AND BY 

BRITISH LIFE OFFICES 






I 



For explanation see pp. 39, 40 



187 



POST OFFICE ANNUITIES 



COST OF IMMEDIATE LIFE ANNUITIES OF £1 


Age 






Age 






Next 
Birth- 


Males 


Females 


Next 
Birth- 


Males 


Females 


day 






day 






£ s. d. 


£ s. d. 




£ s. d. 


£ s. d. 


6 


25 19 


27 12 6 


46 


16 9 II 


18 6 9 


i 


25 15 I 


27 9 I 


^ 


16 4 2 


18 


25 II I 


27 5 8 


15 18 3 


17 13 2 


9 


25 7 


27 2 2 


49 


15 12 3 


17 6 I 


10 


25 2 II 


26 18 8 


50 


15 6 I 


16 18 II 


II 


24 18 10 


26 15 I 


51 


1 14 19 II 


16 II 9 


12 


24 14 9 


26 II 6 


52 


14 13 6 


16 4 7 


13 


24 10 6 


26 7 10 


53 


14 7 I 


15 17 4 


14 


24 6 4 


26 4 I 


54 


14 5 


15 9 II 


15 


24 2 I 


26 4 


55 


13 13 8 


15 2 4 


i6 


23 17 10 


25 16 6 


56 


13 6 9 


14 14 9 


'2 


23 13 6 


25 12 7 


57 


12 19 8 


14 6 II 


i8 


23 9 I 


25 8 8 




12 12 5 


13 19 


19 


23 4 9 


25 4 8 


59 


12 4 II 


13 II I 


20 


23 4 


25 8 


60 


II 17 4 


13 3 I 


21 


22 15 10 


24 16 6 


61 


II 9 8 


. 12 15 I 


22 


22 II 4 


24 12 4 


62 


II 2 2 


12 7 


23 


22 6 9 


24 8 I 


63- 


10 14 II 


II 19 


24 


22 2 3 


24 3 10 


64 


• 10 7 8 


II II 


25 


21 17 7 


23 19 5 


65 


10 6 


II 2 II 


26 


21 12 II 


23 15 


66 


9 13 4 


10 14 7 


27' 


21 8 3 


23 10 6 


67 


9 fr 4 


10 6 4 


28 


21 3 6 


23 5 II 


68 


8 19 7 


9 18 I 


29 


20 18 9 


23 I 3 


69 


8 12 10 


9 9 10 


30 


20 13 II 


22 16 6 


70 


862 


9 I 10 


31 


20 9 I 


22 II 8 


71 


7 19 5 


8 14 2 


32 


20 4 2 


22 6 9 


72 


7 12 10 


8 6 10 


33 


19 19 2 


22 I 9 


73 


764 


7 19 10 


34 


19 14 2 


21 16 7 


74 


7 I 


7 13 


35 


19 9 2 


21 II 5 


75 


6 14 I 


764 


36 


19 4 I 


21 6 2 


76 


684 


6 19 10 


37 


18 18 II 


21 9 


77 


628 


6 13 7 


38 


18 13 9 


20 15 3 


78 


5 17 4 


675 


39 


18 8 6 1 


20 9 7 


79 


5 12 3 


6 I 6 


40 


18 3 2 


20 3 II 


80 


572 


5 15 9 


41 


17 17 10 


19 18 


81 ) 






42 


17 12 4 


19 12 I 


or 


524 


S- 10 3 


43 


17 6 10 


19 5 II 


over 






44 


17 I 4 


18 19 8 








45 


16 15 8 


18 13 3 









For explanation see pp. 39, 40 



(189) 



L 2 



\ 
I 



POST OFFICE ANNUITIES 



POST OFFICE ANNUITIES 



For explanation see pp. 39, 40 



(190) 





COST OF DEFEBBED LIFE 


ANNUITIES. 








• 


Money Betnrnable 






Age Next 
Birthday 


Years 
Deferred 


Annual Payment 


Single Payment 


- 


Males 


Females 


Males 


Females 






£ s. d. 


£ t. d. 


£ s. d. 


£ $. 


d. 


10 


10 


I 16 II 


202 


17 19 7 


19 II 


I 


10 


20 


15 3 


16 10 


12 12 7 


13 18 


7 


10 


30 


7 II 


8 10 


8 13 2 


9 12 


7 


10 


40 


045 


4 II 


5 14 


6 6 


3 


10 


50 


025 


028 


3 9 I 


3 16 


7 


15 


10 


I 15 I 


I 18 5 


17 I 10 


18 14 


6 


15 


20 


14 4 


15 II 


II 17 6 


13 3 


4 


15 


30 


074 


082 


8 I 


8 18 





15 


40 


3 II 


044 


5 I " 


5 12 


8 


15 


50 


020 


023 


2 18 4 


3 4 


10 


20 


10 


I 13 2 


I 16 7 


16 3 4 


17 16 


7 


20 


20 


13 5 


14 II 


II I 7 


12 6 


6 


20 


30 


068 


7 5 


760 


8 I 


7 


- 20 


35 


4 10 


054 


5 15 4 


6 7 


5 


20 


40 


035 


3 10 


4 8 5 


4 18 





20 


45 


025 


028^ 


360 


3 13 


5 


25 


10 


I II 3 


I 14 7 


15 4 


16 17 





25 


20 


12 5 


13 9 


10 4 10 


II 7 


10 


25 


25 


086 


9 5 


8 5 2 


9 2 


10 


25 


30 


060 


067 


6 10 6 


7 4 


2 


25 


35 


042 


048 


500 


5 10 


II 


25 


40 


2 II 


033 


3 14 8 


4 3 





30 


10 


I 9 2 


I 12 5 


14 3 9 


15 15 


6 


30 


15 


17 4 


19 4 


II II 9 


12 17 


9 


30 


20 


II 4 


12 6 


9 6 10 


ID 6 


10 


30 


25 


078 


085 


7 7 7 


8 3 


I 


30 


30 


052 


059 


5 13 2 


6 5 


5 


. 30 


35 


036 


3 II 


446 


4 13 


II 


30 


40 


025 


028 


3 I II 


3 7 


9 


35 


10 


I 6 II 


I 9 II 


13 2 3 


14 II 


7 


35 


15 


15 10 


17 6 


10 II 4 


II 14 





35 


20 


10 I 


II 2 


870 


9 4 


6 


35 


25 


068 


074 


680 


7 I 


II 


35 


30 


045 


4 II 


4 15 7 


5 6 


3 


35 


35 


2 II 


033 


3 10 


3 16 


8 


40 


10 


I 4 7 


I 7 2 


II 19 2 


13 4 


10 


40 


15 


14 2 


15 8 


9 8 II 


10 8 


9 


40 


20 


089 


099 


7 4 10 


8 


7 


40 


25 


"" 5 7 


063 


5 8 2 


6 


3 


40 


30 


038 


040 


3 19 3 


4 6 


9 


45 


10 


120 


,143 


10 13 9 


II 16 


3 


45 


15 


12 3 


13 7 


8 3 10 


9 I 


8 


45 


20 


7 5 


083 


624 


6 16 





45 


25 


048 


5 I 


498 


4 18 


I 


50 


10 


19 I 


I I I 


9 5 5 


ID 5 


6 


50 


15 


10 5 


II 6 


6 18 5 


7 13 


II 


50 


20 


062 


069 


5 I 5 


5 II 





55 


10 


16 I 


17 II 


7 16 8 


8 14 


I 


§5 


15 


087 


09s 


5 14 9 


6 5 


7 


60 


10 


13 4 


14 7 


6 9 10 


7 2 


I 





COST OF DEFEBBED LIFE 


ANNUITIES 


• 








Money not Betnrnable , 






Age Next 
Birthday 


Years 
Deferred 


Annual Payment 


Single Payment 


Males 


Females 


Males 


Females 






£ s. d. 


£ s. d. 


£ s. d. 


£ s. 


d. 


10 


10 


I 15 I 


I 18 6 


16 II 10 


18 6 


7 


10 


20 


13 7 


IS 4 


10 9 8 


12 I 


2 


10 


30 


065 


076 


650 


7 II 


3 


10 


40 


3 I 


3 10 


386 


4 8 


I 


10 


50 


I 5 


I 10 


I 12 9 


2 4 


II 


IS 


10 


I 13 I 


I 16 9 


15 II 10 


17 8 


8 


15 


20 


12 6 


14 5 


9 II 10 


II 4 


6 


15 


30 


059 


6 10 


5 10 I 


6 16 


3 


15 


40 


028 


034 


2 16 II 


3 15 





15 


SO 


I I 


I 5 


I 4 2 


I 14 


5 


20 


10 


I II I 


I 14 ID 


14 ID II 


16 9 


6 


20 


20 


II 6 


13 4 


8 13 5 


10 6 


8 


ao 


30 


050 


6 I 


4 15 I 


6 


3 


ao 


35 


034 


042 


372 


4 7 


9 


20 


40 


022 


029 


254 


3 I 


4 


20 


45 


I 4 


I 9 


I 8 7 


2 


4 


»5 


10 


I 8 II 


I 12 9 


13 9 4 


15 8 


10 


»5 


20 


10 4 


12 2 


7 14 7 


9 7 


6 


25 


25 


068 


080 


5 13 


7 I 


4 


25 


30 


044 


054 


3 19 10 


5 3 


2 


25 


35 


029 


3 5 


2 13 II 


3 12 


I 


25 


40 


I 8 


022 


I 13 II 


2 7 


4 


30 


10 


I 6 9 


I 10 6 


12 6 10 


14 6 


5 


30 


15 


15 I 


17 6 


9 5 I 


II I 


2 


30 


20 


093 


10 II 


6 15 4 


8 6 


9 


30 


25 


059 


070 


4 15 8 


6 I 


8 


30 


30 


037 


04s 


3 4 7 


4 5 





.30 


35 


022 


029 


208 


2 15 


ID 


30 


40 


012 


017 


I 3 


I 13 


7 


35 


10 


I 4 5 


I 8 


II 3 6 


13 2 


I 


35 


15 


13 6 


15 9 


8 3 4 


9 17 


7 


35 


20 


080 


096 


5 15 6 


7 4 


2 


35 


25 


4 10 


5 10 


3 18 


5 


9 


35 


30 


2 10 


036 


2 9 I 


3 6 


2 


35 


35 


I 6 


020 


I 7 9 


I 19 


9 


40 


10 


I 2 


1 5 3 


9 19 2 


II 15 


3 


40 


IS 


II 10 


13 10 


7 10 


8 II 


8 


40 


20 


069 


080 


4 15 I 


6 





40 


25 


3 10 


048 


2 19 ID 


3 18 


10 


40 


30 


020 


027 


I 13 10 


2 7 


4 


45 


10 


19 4 


I 2 2 


8 13 7 


10 5 


6 


45 


15 


10 


II 8 


5 17 2 


7 3 


7 


45 


20 


054 


065 


3 13 9 


4 14 


4 


45 


25 


029 


03s 


2 I 8 


2 16 


8 


SO 


10 


16 7 


18 II 


763 


8 13 





SO 


15 


080 


09s 


4 12 


5 '2 


8 


50 


20 


3 II 


4 ID 


2 12 


3 8 


3 


55 


10 


13 5 


15 5 


5 16 5 


6 19 







15 


5 II 


072 


3 5 9 


4 3 


5 


60 


10 


10 


II 10 


446 


5 3 


II 



For explanation see pp. 39, 40 



(191) 



II 



of 



POST OFFICE ASSURANCES 



POST OFFICE ASSURANCES 



Age at 
Entry 



x6 

17 
18 

19 
20 

21 
22 

23 
24 

25 
26 

27 
28 

29 
30 

31 
32 

33 
34 
35 

36 
37 
38 

39 
40 

41 
42 

43 

44 

45 

46 

47 
48 

49 
50 

51 
52 

53 
54 
55 

56 
57 
58 

59 
60 

61 
62 

63 
65 



SINGLE PREMIUMS FOB LIFE ASSURANCE FOB £100 



Sum Assured Payable 



At Death 



£ s. 


d. 


37 5 





37 19 


6 


38 13 


6 


39 6 


6 


39 19 





40 II 





41 3 





41 15 





42 7 


6 


43 I 





43 14 


6 


44 8 


6 


45 2 


6 


45 17 





46 II 


6 


47 6 





48 I 





48 16 





49 II 


6 


50 7 


6 


51 3 


6 


51 19 


6 


52 16 





53 13 





54 10 





55 7 





56 5 





57 3 





58 I 


6 


59 


6 


59 19 


6 


60 18 


6 


61 17 


6 


62 17 





63 16 


6 


64 16 





65 16 





66 16 





67 16 





68 16 


6 


69 16 


6 


70 17 





71 17 


6 


72 18 





73 18 





74 18 





75 18 





76 18 





77 17 





78 16 


6 



In 10 Years 



£ ». d. 

80 4 6 

80 5 6 

80 6 6 

80 7 6 

80 8 o 

80 8 o 

80 8 6 

80 8 6 

80 8 6 

80 9 o 

80 9 6 

80 10 o 

80 10 6 

80 II o 

80 II 6 

80 II 6 

80 12 6 

80 13 o 

80 13 6 

80 14 o 

80 14 6 

80 15 o 

80 16 o 

80 16 6 

80 17 6 

80 18 o 

80 19 o 

81 o 6 
81 2 o 
81 3 o 

81 5 o 

81 6 6 

81 8 o 

81 10 o 

81 12 o 

81 14 o 

81 16 6 

81 19 o 

82 2 O 

82 5 O 



For explanation see pp. 39, 40 



In 15 Years 



£ 


s. 


d. 


71 


13 





71 


14 


6 


71 


16 


6 


71 


17 


6 


71 


18 


6 


71 


19 





71 


19 


6 


72 








72 





6 


72 


I 





72 


2 





72 


3 





72 


4 





72 


5 





72 


6 





72 


7 





72 


8 





72 


9 


6 


72 


10 


6 


72 


12 





72 


13 


6 


72 


15 





72 


16 


6 


72 


18 


6 


73 





6 


73 


2 


6 


73 


5 





73 


7 


6 


73 


10 


6 


73 


14 





73 


17 





74 


I 





74 


5 





74 


9 





74 


13 


6 


74 


18 


6 


75 


4 





75 


9 


6 


75 


16 





76 


3 






(192) 



In 20 Years 



£ ». 

64 7 

64 9 

64 12 

64 13 

64 15 

64 16 

64 17 

64 17 

64 19 

65 O 

65 I 



65 
65 
65 



3 
5 
7 



65 8 

65 10 

65 12 

65 15 

65 17 

66 o 

66 2 

66 5 

66 8 

66 II 

66 IS 

66 19 

67 3 
67 8 
67 14 

67 19 

68 6 
68 12 

68 19 

69 7 

69 14 

70 3 

70 12 

71 2 

71 12 

72 4 



d. 
O 
6 
o 
6 
o 

o 
o 
6 
o 
o 

6 
6 
o 
o 
6 

6 
6 
o 
o 
o 

6 
6 
6 
6 
6 

o 
6 
6 
o 
6 

o 
6 
6 
o 
6 

o 
6 
o 
6 
o 



Age at 
Entry 



16 

% 

20 

21 
22 

23 

24 
25 
26 



29 
30 

31 
32 

33 
34 
35 

36 
37 
38 

39 
40 

41 
42 
43 
44 
45 
46 

% 

49 
50 

51 
52 

53 
54 
55 

56 
57 
58 

59 
(k> 

61 
62 

63 
65 



(193) 



>»* 



SINGLE PREMIUMS FOR LIFE ASSURANCE FOR £100 








Sum Assured Payable 










Age at 
Entry 














Age at 
Entry 


In 25 Years 


In 30 Years 


In 35 Years 


In 40 Years 




f s. 


(1. 


£ s. d. 


£ s. 


d. 


£ .'. 


d. 




16 


58 3 


6 


53 


48 14 





45 4 


6 


16 


17 


58 7 





53 4 6 


48 19 


6 


45 10 


6 


17 


18 


58 10 





53 8 


49 4 


6 


45 17 





18 


19 


58 12 


6 


53 II 6 


49 8 


6 


46 2 





19 


20 


58 14 


6 


53 14 


49 12 


6 


46 7 





20 


21 


58 16 





53 16 6 


49 15 


6 


46 II 


6 


21 


22 


58 17 


6 


53 19 


49 19 





46 16 





22 


23 


58 19 





54 I 


50 2 


6 


47 I 





23 


24 


59 I 





54 4 


50 6 


6 


47 6 


6 


24 


25 


59 3 





54 7 


50 10 


6 


47 12 


6 


25 


26 


59 5 


6 


54 10 6 


50 15 


6 


47 19 





26 


27 


59 8 





54 H 6 


51 I 





48 6 





27 


28 


59 10 


6 


54 18 6 


51 6 


6 


48 13 


6 


28 


29 


59 13 


6 


55 2 6 


51 12 


6 


49 I 


6 


29 


30 


59 16 


6 


55 7 


51 18 


6 


49 10 





30 


31 


59 19 


6 


55 II 6 


52 5 





49 18 


6 


31 


32 


60 3 





55 16 6 


52 12 





50 8 





32 


33 


60 6 


6 


56 2 


52 19 


6 


50 17 


6 


33 


34 


60 10 





56 7 6 


53 8 





51 8 





34 


35 


60 14 


6 


56 14 


53 16 


6 


51 19 





35 


36 


60 19 





57 6 


54 5 


6 


52 II 





36 


37 


61 3 


6 


57 7 6 


54 15 





53 3 





37 


38 


61 8 


6 


57 15 


55 5 





53 16 





38 


39 


61 14 





58 3 


55 16 





54 9 


6 


39 


40 


62 





58 II 6 


56 7 


6 


55 3 


6 


4C 


41 


62 6 





59 I 


56 19 


6 


• • • 




41 


42 


62 13 





59 II 


57 13 





• • « 




42 


43 


63 I 





60 I 6 


58 7 





• • • 




43 


44 


63 9 


6 


60 13 


59 I 


6 


• • • 




44 


45 


63 18 





61 5 6 


59 17 





• • • 




45 


46 


64 7 


6 


61 18 6 


• • • 




• •• 




46 


47 


64 17 


6 


62 12 


• •• 




• •• 




% 


48 


65 8 





63 6 


• • • 




• •• 




49 


65 19 





64 6 


• • • 




■ • • 




49 


50 


66 10 


6 


64 16 


• • • 








50 


51 


67 3 





• • « 


« • • 




■ •• 




51 


52 


67 16 


6 


• • • 


• • • 




• • • 




52 


53 


68 10 


6 


• •• 


• •■ 




• •• 




53 


54 


69 5 


6 


• • • 


• • • 




• • • 




54 


55 


70 I 





• • • 


• • • 




■ • • 




55 



POST OFFICE ASSURANCES 





ANNUAL PBEMIUMS FOB LIFE ASSURANCE 


FOB £100 




Age 

at 

Entry 




Sums Assured Payable at 








Age 

at 

Entry 


Death 


Death 


Age 55 


Age 60 


Age 65 




Premiums Payable Annually till 






(5 


Death 


Age 50 


Age 55 


Age 60 


Age« 




£ s. d. 


£ s. d. 


£ $. d. 


£ «. 


d. 


£ s. 


d. 




i6 


I 9 6 


I 12 


2 I 6 


I 17 





I 14 





x6 


'Z 


I 10 6 


I 13 


230 


I 18 


6 


I 15 





17 


i8 


I II 6 


I 14 6 


246 


I 19 


6 


I 16 





18 


19 


I 12 


I 15 6 


260 


2 I 





I 17 


6 


19 


20 


I 13 


I 16 6 


280 


2 2 


6 


I 18 


6 


20 


21 


I 14 


I 17 6 


296 


2 3 


6 


I 19 


6 


21 


22 


I 14 6 


I 18 6 


2 II 6 


2 5 





2 


6 


22 


23 


I 15 6 


I 19 6 


2 13 


2 6 


6 


2 2 





23 


24 


I 16 6 


2 I 


2 15 


2 8 





2 3 





24 


25 


I 17 6 


226 


2 17 6 


2 9 


6 


2 4 


6 


25 


26 


I 18 6 


236 


2 19 6 


2 II 


6 


2 6 





26 


27 


I 19 6 


2 5 


320 


2 13 


6 


2 7 


6 


27 


28 


206 


270 


350 


2 15 


6 


2 9 





28 


^ 


2 I 6 


286 


3 7 6 


2 17 


6 


2 10 


6 


29 


30 


230 


2 10 


3 II 


2 19 


6 


2 12 


6 


30 


31 


240 


2 12 


3 14 


3 2 





2 14 





31 


32 


2 5 6 


2 14 


3 17 6 


3 4 


6 


2 16 





32 


33 


266 


2 16 


4 I 6 


3 7 


6 


2 18 


6 


33 


34 


280 


2 18 6 


460 


3 10 





3 


6 


34 


35 


296 


3 I 


4 10 6 


3 13 


6 


3 3 





35 


36 


2 II 


3 3 6 


4 15 6 


3 17 





3 5 


6 


36 


37 


2 13 


366 


5 I 6 


4 


6 


3 8 





37 


38 


2 14 6 


396 


5 7 6 


4 4 


6 


3 II 





38 


39 


2 16 6 


3 13 


5 14 6 


4 9 





3 14 





39 


40 


2 18 


3 16 6 


626 


4 13 


6 


3 17 


6 


40 


41 


300 


406 


6 II 6 


4 19 





4 I 





41 


42 


326 


450 


7 I 6 


5 4 


6 


4 5 





42 


43 


346 


4 10 


7 13 6 


5 II 





4 9 





43 


44 


370 


4 IS 6 


876 


5 18 


6 


4 13 


6 


44 


45 


396 


5 I 6 


936 


6 6 


6 


4 19 





45 


46 


3 12 


586 


• • a 


6 16 





5 4 


6 


46 


^Z 


3 15 


5 16 


a a • 


7 6 





5 10 


6 


47 


48 


3 17 6 


650 


a a a 


7 18 





5 17 





48 


49 


4 I 


6 IS 6 


• • • 


8 12 





6 4 


6 


49 


SO 


440 


7 7 6 


* • • 


9 8 


6 


6 13 





50 


51 


476 


• • • 


• • • 


• • • 




7 2 


6 


51 


52 


4 II 


• ■ • 


... 


a • • 




7 13 





52 


53 


4 15 


• • • 


a • • 


a • • 




8 5 


6 


S3 


54 


4 19 6 


• • ■ 


a • a 


• • m 




8 19 


6 


54 


55 


540 


• • • 


... 


a a a 




9 16 


6 


55 


56 

57 


586 
5 13 6 


• ■ • 

I a • 


• • a 
■ • • 


• • 

• • • 




• a a 

• • • 




56 
57 


54 


5 19 


■ • • 


• • • 










58 


2 
60 


646 
6 10 6 


• • • 

• • ■ 


a a a 
• a • 


a • • 
• a a 




■ • a 




6z 
62 
63 

65 


6 17 
740 

7 II 6 
7 19 
870 


a • • 

• • • 

• • m 

• a a 

• • a 


• a • 

• • • 
a • • 

• • • 
■ • • 


• ■• 

• •• 

• •• 

• ••. 

• •• 




• • • 

• • • 

• •• 

• • • 




61 
62 

65 



For explanation see pp. 39, 40 



(194) 



GOVERNMENT ANNUITIES 



IMMEDIATE LIFE ANNUITIES 

Granted through the National Debt Office for £100 of 2^ per Cent. Stock 
when the Frice of £100 Stock is above £99 lOs. Id. 



Age 

of the 

Nominee 



16 

17 
18 

19 
20 

21 
22 

23 

24 
25 

26 

27 
28 

29 
30 

31 
32 

33 
34 
35 

36 
37 
38 

39 
40 

41 
42 
43 
44 
45 

46 
47 
48 
49 
50 



Male 



£ 

4 

4 

4 

4 

4 



4 

4 

5 
6 

7 



d. 
O 

9 
7 
5 
3 



4 8 I 
490 
4 9 II 
4 10 10 
4 II 10 



4 
4 
4 
4 
4 

4 
4 
5 
5 
5 



12 10 

13 10 

14 II 

16 o 

17 2 

18 

19 
o 

2 

3 



4 

6 

10 

I 

5 



5 4 10 

564 
5 7 10 

5 9 4 
5 II o 

5 12 8 
5 14 6 
5 16 

5 18 

6 o 



6 2 
6 4 
6 7 
6 9 
6 12 



5 
8 



7 
3 



Female 



£ 
3 

3 
3 
4 

4 
4 
4 
4 
4 

4 
4 
4 
4 
4 



17 
18 



7 
3 



18 10 

19 6 
o I 

10 

1 6 

2 3 

3 o 
3 9 



4 

5 
6 

7 
8 



4 9 
4 10 

4 II 
4 12 

4 13 

4 14 
4 15 
4 17 
4 18 



6 

4 

3 
I 

o 

o 
o 
I 

2 

4 
6 

9 
o 

5 



4 19 10 



5 
5 
5 
5 
S 



3 

4 
6 

8 



4 
o 
8 

5 
4 



5 10 4 

5 12 6 

5 14 9 

5 17 I 

5 19 8 



Age 

of the 

Nominee 



SI 
52 
53 
54 
55 

56 

H 
58 

59 
60 

6x 
62 

63 

65 
66 

% 

69 
70 

71 
72 
73 
74 
75 

76 

78 

79 
80 



Male 



£ 
6 
6 

7 
7 
7 



i. 

15 

18 

I 

4 

8 



I 
I 

5 
10 

7 



7 12 7 

7 16 II 

8 I 
8 6 
8 12 



8 

10 

4 



8 18 

9 4 
9 10 

9 17 

10 4 



10 
10 
II 
II 
12 

12 

13 
14 
14 
15 

15 
16 

17 
18 

19 



II 

19 
8 

17 
7 

17 
8 
o 

13 

5 

19 

13 
8 

4 
I 



o 
o 

4 
I 

4 
10 

9 
2 

2 
o 

6 

9 

7 
o 

10 

7 
10 

10 

10 

9 



Female 



£ «. 
6 2 

6 5 

6 8 

6 II 

6 14 

6 18 

7 2 
7 6 
7 10 

7 15 

8 o 

8 5 
8 II 

8 17 

9 4 



rf. 

3 
o 

o 

2 
6 

2 
I 

2 

7 
3 

4 
8 

4 
6 

3 

6 
6 



9 II 
9 19 

10 7 II 

10 17 o 

11 6 6 

11 16 3 

12 6 6 

12 17 4 

13 8 9 

14 I o 

14 14 o 

15 7 II 

16 2 8 

16 18 5 

17 15 o 



Life annuities are payable quarterly at the National Debt Office by warrant 

on the Bank of England. , ^ ■ v. 

The warrants may be received at the National Debt Office either on 

personal demand or by power of attorney, or they can be transmitted by post 

to the proprietor at his or her own risk. 

Life annuities are transferable, but cannot be transferred in parts or shares, 

nor can the original nominee ever be changed. 

For explanation see p. 40 



' ii 



; tl 



iij 



n 



(195) 



LIFE OFFICES ANNUITIES AND ASSURANCES 



Age 



21 
22 

23 

24 

25 

26 

27 
28 

29 
30 

31 
32 

33 
34 
35 
36 
37 
38 

39 
40 



AVERAGE RATES FOR ANNUITIES AND ASSURANCES CHARGED 






BY BRITISH LIFE OFFICES. 




Annuity Granted for each £100 of Purchase Money 


Age 


Males 


Females 


Age 


Males 


Females 




£ s. d. 


£ s. d. 


£ «. (f. 


£ i. d. 


40 


5 16 7 


564 


55 


7 14 10 


705 


41 


5 18 4 


5 7 9 


56 


7 18 10 


740 


42 


6 I 


5 9 3 


57 


8 3 2 


778 


43 


6 I II 


5 10 9 


58 


8 7 II 


7 12 I 


44 


6 3 II 


5 12 5 


59 


8 13 


7 16 6 


4| 


6 5 II 


5 14 2 


60 


8 18 5 


8 I 


46 


6 8 I 


5 16 I 


61 


9 4 3 


863 


47 


6 10 4 


5 18 2 


62 


9 10 4 


8 II 10 


48 


6 12 10 


604 


63 


9 16 10 


8 16 6 


49 


6 15 6 


629 


64 


10 3 7 


938 


50 
51 


6 18 3 

7 I 2 


6 5 3 
6 7 10 


% 


10 II I 
10 18 8 


9 10 4 
9 18 I 


52 


7 4 3 


6 10 7 


% 


II 6 9 


10 5 3 


53 


7 7 7 


6 13 7 


11 15 2 


10 13 8 


54 


7 II 2 


6 16 10 


70 


12 14 3 


II II 9 



Annual Premium for Assurance of £100 at Death 



With Profits 



£ s. 

1 19 

2 O 



2 
2 
2 

2 
2 
2 
2 
2 



I 
2 

3 
4 

5 
6 

7 
8 

2 10 

2 II 

2 12 8 

2 14 I 

2 15 8 

2 17 3 
2 18 II 

308 

327 

346 



6 

3 
2 

I 
I 
I 
2 
6 
6 
9 
o 

3 



Without Profits 



£ «. d. 
I 13 8 
I 14 4 

I 15 I 

I 15 II 

I 16 7 

I 17 6. 
I i8 5 

1 19 

2 o 
I 



Age 



5 
6 

7 

2 9 

3 II 

5 2 

6 5 

7 9 

9 3 
2 10 10 

2 12 5 

2 14 2 

2 15 II 



2 

2 
2 
2 
2 
2 

2 



41 
42 

43 
44 
45 
46 

47 
48 

49 
50 

51 
52 
53 
54 
55 
56 
57 
58 
59 
60 



With Profits 



£ 5. d. 
369 
388 
3 10 II 
3 13 3 
3 15 

3 18 

4 I 
4 4 
4 7 
4 II 



Without Profits 



9 
5 

3 
I 

8 

6 



4 14 

4 18 

5 2 
5 7 
5 12 

5 17 

6 2 

6 8 

6 14 

7 o 



9 

7 

9 
2 

o 

I 

7 
4 

5 
8 



£ < rf. 
2 17 10 

2 19 10 

3 I II 
342 

3 6 

3 9 
3 II 
3 14 

3 17 

4 o 

4 4 
4 7 
4 II 

4 15 II 
503 

5 5 
5 10 

5 15 

6 I 

6 6 



7 
o 
8 

5 
4 
7 
2 

9 
8 



o 
I 

5 
o 

8 



Annual Premiums for Endowment Assurance of £100 



Age at 


Years to 


Entry 


Matiuritj 


25 


30 


25 


35 


25 


40 


30 


25 


30 


30 


30 


35 


35 


20 


35 


25 



With 
Profits 



£ s. d. 
350 

2 16 I 
2 10 10 
400 

3 7 
2 19 

5 2 

4 2 



5 
6 

6 
9 



Without 
Profits 



£ *. d. 

2 16 9 
290 

2 3 10 

3 9 5 
2 18 II 

2 II 4 

4 II o 

3 13 o 



Age at 
Entiy 



35 
40 

40 
40 

45 
45 
45 



Years to 
Maturity 



30 

15 
20 

25 
10 

15 
20 



With 
Profits 



£ ». d. 

3 10 10 
702 
5 5 10 
470 
10 13 
7 4 
5 II 



Without 
Profits 



£ t. d. 
322 
6 6 I 
4 14 2 

3 16 9 

9 15 10 
696 

4 19 9 



For explanation see p. 40 



(196) 



INCOME TAX TABLES 

At 5d., 6d.: Id., 8d., and 9d. in the Pound 



For explanation see p. 40 



(197) 






£1-200 



INCOME TAX TABLES 



For explanation see p. 40 



(198) 







TAX THEEEON AT PER £ 


t 
% 


Income 












5d. 


%d. 


7d. 


Sd. 


9rf. 


£ 


£ s. d. 


£ t. d. 


£ s. d. 


£ s. d. 


£ s. d. 


I 

1 


005 


006 


007 


008 


009 


2 


10 


I 


I 2 


014 


I 6 


3 


I 3 


I 6 


019 


020 


023 


4 


I 8 


020 


024 


028 


030 


5 


021 


026 


2 II 


034 


039 


6 


026 


030 


036 


040 


046 


I 


2 11 


036 


4 I 


048 


053 


034 


040 


048 


054 


060 


9 


039 


046 


053 


060 


069 


10 


042 


050 


5 10 


068 


076 


IZ 


047 


056 


065 


074 


083 


12 


050 


060 


070 


080 


090 


»5 


6. 3 


076 


089 


10 


II 3 


20 


084 


10 


II 8 


13 4 


15 


25 


10 5 


12 6 


14 7 


16 8 


18 9 


30 


12 6 


15 


17 6 


I 


I 2 6 


35 


14 7 


17 6 


I 5 


I 3 4 


I 6 3 


40 


16 8 


100 


I 3 4 


I 6 8 


I 10 


45 


18 9 


I 2 6 


I 6 3 


I 10 


I 13 9 


50 


I 10 


I 5 


I 9 2 


I 13 4 


I 17 6 


65 
70 

75 


I 2 II 
I 5 
I 7 I 
I 9 2 


I 7 6 
I 10 
I 12 6 
I 15 


I 12 I 
I 15 

1 17 II 

2 10 


I 16 8 
200 

234 
268 


213 
250 
289 
2 12 6 


I II 3 


I 17 6 


239 


2 10 


2 16 3 


80 

85 


I 13 .4 


200 


268 


2 13 4 


300 


I IS 5 


226 


297 


2 16 8 


3 3 9 


90 


I 17 6 


2 5 


2 12 6 


300 


376 


95 
100 


1 19 7 

2 I 8 


2 7 6 
2 10 


2 15 5 
2 18 4 


3 3 4 
368 


3 II 3 
3 15 


105 


239 


2 12 6 


3 I 3 


3 10 


3 18 9 


no 


2 5 10 


2 15 


342 


3 13 4 


426 


1 "5 


2 7 II 


2 17 6 


3 7 I 


3 16 8 


463 


120 


2 10 


3 -o 


3 10 


400 


4 10 


125 


2 12 I 


3 2 6 


3 12 II 


4 3 4 


4 13 9 


130 

135 
140 

145 
150 


2 14 2 
2 16 3 

2 18 4 

3 5 
3 2 6 


350 
3 7 6 
3 10 
3 12 6 

3 15 


3 15 10 

3 18 9 

4 I 8 

4 4 7 
476 


468 
4 10 

4 13 4 
4 16 8 
500 


4 17 6 

5 I 3 
5 5 
589. 
5 12 6 


165 
170 

175 


3 4 7 
368 

389 
3 10 10 
3 12 II 


3 17 6 
400 
426 
450 
476 


4 10 5 
4 13 4 

4 16 3 

4 19 2 

5 2 I 


5 3 4 
568 
5 10 

5 13 4 
5 16 8 


5 16 3 
600 

639 
676 

6 II 3 


180 
185 


3 15 
3 17 I 


4 10 
4 12 6 


5 5 
5 7 II 


600 
634 


6 15 
6 18 9 


190 


3 19 2 


4 15 


5 10 10 


6 6 8 


726 


195 

200 


4 I 3 
4 3 4 


4 17 6 
500 


5 13 9 
5 16 8 


6 10 
6 13 4 


763 
7 10 



INCOME TAX TABLES 



£205-450 



Income 



£ 

205 
210 

215 
220 

225 
230 

235 
240 

24s 
250 

260 
265 
270 

275 

280 
285 
290 

295 
300 

3x0 

315 
320 

325 

330 

335 
340 
345 
350 

355 
360 

365 
370 
375 

380 

385 
390 

395 
400 

405 
410 

415 
420 

425 

430 

435 
440 

445 
450 



TAX THEEEON AT PER £ 



bd. 



£ 



d. 



I 
2 

3 
4 

5 
6 

7 



4 5 5 
476 

4 9 7 
4 II 8 

4 13 9 

4 15 10 

4 17 II 
500 

5 2 
5 4 

5 8 

5 10 

5 12 

5 14 

5 16 8 

5 18 9 

6 o 10 

6 2 II 
650 

6 7 
6 9 
6 II 

6 13 
6 15 

6 17 

6 19 

7 I 

7 3 
7 5 10 

7 7 II 
7 10 o 
7 12 

7 14 
7 16 

7 18 

8 o 
8 2 
8 4 
8 6 

8 8 

8 10 10 

8 12 II 

8 15 o 

8 17 

8 19 

9 I 
9 3 
9 5 
9 7 



Qd. 



I 

2 

3 
4 
5 
6 

7 
8 

9 



I 

2 

3 

4 

5 
6 

7 
8 

9 



d. 
6 
o 
6 
o 
6 



£ t. 
5 2 
5 5 
5 7 
5 10 
5 12 

5 15 

5 17 

6 o 
6 2 
6 5 

6 7 

6 10 

6 12 

6 15 

6 17 

7 o 

7 2 

7 5 

7 7 
7 10 o 

7 12 6 

7 15 

7 17 

8 o 

8 2 

8 5 
8 7 
8 10 
8 12 

8 15 

8 17 

9 o 
9 2 

9 5 
9 7 
9 10 
9 12 

9 15 

9 17 

10 o 



o 
6 
o 
6 
o 

6 
o 
6 
o 
6 

o 
6 
o 
6 



o 
6 
o 
6 

o 
6 
o 
6 
o 

6 
o 
6 
o 
6 



o 
6 
o 
6 
o 



10 2 

10 5 
10 7 
10 10 
10 12 



6 
o 
6 
o 
6 



10 15 o 

10 17 6 

11 o o 
II 2 6 

II 5 o 



7d. 



£ s. 

5 19 

6 2 

6 5 

6 8 

6 II 



d. 

7 
6 

5 
4 
3 
2 
I 
o 



6 14 

6 17 

7 o 
7 2 II 

7 5 10 

7 8 9 

7 II 

7 14 

7 17 

8 o 

8 3 
8 6 

8 9 
8 12 

8 15 

8 17 II 

9 O ID 

9 3 9 

9 6 

9 9 

9 12 

9 15 
9 18 

10 I 

10 4 

10 7 

10 10 

10 12 II 

10 15 10 

10 18 9 

11 I 

11 4 
II 7 
II 10 

II 13 

II 16 

11 19 

12 2 

12 5 
12 7 II 

12 10 10 

12 13 9 
12 16 8 

12 19 7 

13 2 6 



8 

7 
6 

5 

4 

3 
2 

I 

o 



8 

7 

6 

5 
4 

3 

2 

I 
o 



8 

7 
6 

5 
4 

3 
2 
I 
o 



Zd. 



£ s.d. 

6 16 8 
700 

7 3 
7 6 
7 10 



4 
8 



7 


13 


4 


7 


16 


8 


8 








8 


3 


4 


8 


6 


8 


8 


10 





8 


13 


4 


8 


16 


8 


9 








9 


3 


4 


9 


6 


8 


9 


10 





9 


13 


4 


9 


16 


8 


10 









10 3 4 

10 6 8 

10 10 o 

10 13 4 

10 16 8 



II 





II 3 
II 6 


4 
8 


II 10. 





II 13 


4 


II 16 


8 


12 





12 3 
12 6 


4 
8 


12 10 





12 13 
12 16 


4 
8 


13 





13 6 


4 
8 


13 10 





13 13 
13 16 


4 
8 


14 





14 3 


4 


14 6 


8 


14 10 





14 13 
14 16 


4 
8 


15 






9^. 



£ s. 
7 13 

7 17 

8 I 

8 5 
8 8 



8 12 

8 16 

9 o 
9 3 

9 7 

9 II 

9 15 
9 18 

10 2 

10 6 

10 IQ 

10 13 

10 17 
II' I 

11 5 

11 8 
II 12 

11 16 

12 o 
12 3 

12 7 
12 II 
12 15 

12 18 

13 2 
13 6 
13 10 
13 13 

13 17 

14 I 

14 5 
14 8 
14 12 

14 16 

15 o 

15 3 
15 7 
15 II 

15 15 

15 18 

16 2 
16 6 
16 10 
16 13 
16 17 



d. 

9 
6 

3 

o 

9 

6 

3 
o 

9 
6 



3 
o 

9 
6 

3 

o 

9 
6 

3 
o 

9 
6 

3 
o 

9 

6 

3 
o 

9 
6 

3 
o 

9 
6 

3 

o 

9 
6 

3 
o 

9 
6 

3 
o 

9 

6 

3 
o 

9 
6 



M 






^1 



J? 



(199) 



INCOME TAX TABLES 



INCOME TAX TABLES 



£455-700 



£7051,000 



Income 



455 
460 

465 
470 

475 

480 

485 
490 

495 
500 

505 
510 

5?5 
520 

525 

530 
535 
540 

545 
550 



565 
570 
575 

585 
590 

'5 



610 

620 
625 

630 

635 
640 

^^ 
650 

660 
665 
670 

675 

680 

68s 
690 

695 
700 



TAX THESEON AT FEB £ 



5d. 



£ s. d. 

9 9 7 

9 II 8 

9 13 9 

9 IS 10 

9 17 II 



10 o 
10 2 
10 4 
10 6 
10 8 
10 10 
10 12 
10 14 
10 16 
10 18 



I 
I 
I 
I 
I 
I 
I 
I 
I 
I 

12 
12 



o 
I 

2 

3 
4 

5 
6 

7 
8 

9 

o 10 
2 II 
5 o 



7 

9 

II 

13 
15 
17 
19 

I 

3 



I 

2 

3 

4 

5 
6 

7 

8 

9 



12 


5 


10 


12 


7 


II 


12 


10 





12 


12 


I 


12 


14 


2 


12 


16 


3 


12 


18 


4 


13 





5 


13 


2 


6 


13 


4 


7 


13 


6 


8 


13 


8 


9 


13 


10 


10 


13 


12 


II 


13 


15 





13 


17 


I 


13 


19 


2 


14 


I 


3 


14 


3 


4 


14 


5 


5 


14 


7 


6 


14 


9 


7 


14 


II 


8 



6d. 



£ s. 

II 7 

II 10 

II 12 

II 15 

11 17 

12 O 
12 2 
12 5 

12 7 
12 10 

12 12 
12 15 

12 17 

13 o 

13 2 

13 5 
13 7 

13 10 

13 12 
13 15 

13 17 

14 o 

14 2 

14 5 

14 7 

14 10 

14 12 

14 15 

14 17 

15 o 

15 2 

15 5 
15 7 
15 10 

15 12 

15 15 

15 17 

16 o 

16 2 
16 5 

16 7 
16 10 
16 12 
16 15 

16 17 

17 o 

17 2 

17 5 
17 7 
17 10 



d. 

6 
o 
6 
o 
6 

o 
6 
o 
6 
o 

6 
o 
6 
o 
6 

o 
6 
o 
6 
o 

6 
o 
6 
o 
6 

o 
6 
o 
6 
o 

6 
o 
6 
o 
6 

o 
6 
o 
6 
o 

6 
o 
6 
o 
6 

o 
6 
o 
6 
o 



T'i. 



£ s. 

13 5 

13 8 

13 II 

13 14 

13 17 

14 o 
14 2 

14 5 
14 8 

14 II 

14 14 

14 17 

15 o 
15 3 
15 6 

15 9 
15 12 

15 15 

15 17 

16 o 

16 3 
16 6 
16 9 
16 12 
16 15 

16 18 

17 I 

17 4 

17 7 
17 10 

17 12 

17 15 

17 18 

18 I 
18 4 

18 7 

18 10 

18 13 

18 16 

18 19 

19 2 

19 5 
19 7 

19 ID 
19 13 

19 16 

19 19 

20 2 
20 5 

20 8 



d. 

5 
4 

3 

2 

I 

o 
II 
10 

9 

8 

7 
6 

5 

4 

3 

2 

I 

o 
II 
10 

9 

8 

7 
6 

5 

4 

3 

2 

I 
o» 

II 
10 

9 

8 

7 

6 

5 

4 

3 
2 

I 

o 
II 
10 

9 

8 

7 
6 

5 

4 



For explanation see p. 40 



8^. 



d. 

4 
8 
o 

4 



£ «. 

15 3 
15 6 

15 10 

15 13 

15 16 8 

16 o 

16 3 
16 6 
16 10 
16 13 

16 16 8 

17 o o 

17 3 
17 6 

17 10 o 

17 13 4 

17 16 8 

18 o o 

18 3 4 
18 6 8 



o 

4 
8 
o 

4 



4 
8 



18 


10 





18 
18 


13 
16 


4 
8 


19 








19 


3 


4 


19 


6 


8 


19 


10 





19 
19 


13 
16 


4 
8 


20 








20 
20 


3 
6 


4 
8 


20 


10 





20 
20 


13 
16 


4 
8 


21 








21 

21 


3 
6 


4 

8 


21 


10 





21 


13 


4 


21 


16 


8 


22 








22 
22 


3 
6 


4 
8 


22 


10 






22 13 4 

22 16 8 

23 o o 

23 3 4 

23 6 8 



9^. 



£ ». 
17 I 

17 5 

17 8 

17 12 
47 16 

18 o 
18 3 
18 7 
18 II 
18 15 

18 18 

19 2 
19 6 
19 10 

19 13 

19 17 

20 I 
20 5 
20* 8 
20 12 

20 16 

21 o 
21 3 
21 7 
21 II 

21 15 

21 18 

22 2 
22 6 
22 10 

22 13 

22 17 

23 I 
23 5 
23 8 

23 12 

23 16 

24 o 

24 3 
24 7 
24 II 

24 15 

24 18 

25 2 
25 6 

25 10 

25 13 

25 17 

26 I 
26 5 



d. 

3 
o 

9 
6 

3 

o 

9 
6 

3 
o 

9 
6 

3 
o 

9 

6 

3 
o 

9 
6 

3 
o 

9 
6 

3 

o 

9 
6 

3 
o 

9 
6 

3 

o 

9 

6 

3 
o 

9 
6 

3 

o 

9 
6 

3 

o 

9 
6 

3 
o 



(200) 







TAX THEREON AT PER £ 




Income 














5d. 


6^. 


7d. 


Sd. 


9^. 


£ 1 


£ 1. d. 


£ s. d. 


£ s. d. 


£ s. d. 


£ «. d. 


705 
710 

715 , 
720 

725 


14 13 9 
14 15 10 
14 17 II 


17 12 6 

17 IS 
17 17 6 


20 II 3 
20 14 2 
20 17 I 


23 10 

23 13 4 
23 16 8 


26 8 9 
26 12 6 
26 16 3 


15 
15 2 I 


18 


21 


24 


27 


18 2 6 


21 2 II 


24 3 4 


27 3 9 


730 


. 15 4 2 


18 5 


21 5 10 


24 6 8 


27 7 6 


735 


15 6 3 


18 7 6 


21 8 9 


24 10 


27 II 3 


740 


15 8 4 


18 10 


21 II 8 


24 13 4 


27 15 


w 9 

745 


15 10 5 


18 12 6 


21 14 7 


24 16 8 


27 18 9 


750 


15 12 6 


18 15 


21 17 6 


25 a 


28 2 6 




15 14 7 


18 17 6 


22 5 


2S i 4 


28 6 3 


760 


IS 16 8 


19 


22 3 4 


2S 6 8 


28 10 


765 


15 18 9 


19 2 6 


22 6 3 


25 10 


28 13 9 


770 


16 10 


19 S 


22 9 2 


2S 13 4 


28 17 6 


• • 
775 


16 2 II 


19 7 6 


22 12 I 


25 16 8 


29 I 3 


780 


16 5 


19 10 


22 15 


26 


29 5 


785 


16 7 I 


19 12 6 


22 17 II 


26 3 4 


29 8 9 


790 


16 9 2 


19 15 


23 10 


26 6 8 


29 12 6 


795 • 


16 II 3 


19 17 6 


23 3 9 


26 10 


29 16 3 


Si 


16 13 4 


20 


23 6 8 


26 13 4 


30 


805 


16 IS S 


20 2 6 


23 9 7 


26 16 8 


30 3 9 


810 


16 17 6 


20 5 


23 12 6 


27 


30 7 6 


815 


16 19 7 


20 7 6 


23 15 S 


27 3 4 


30 II 3 


820 


17 I 8 


20 10 


23 18 4 


27 6 8 


30 15 


825 


17 3 9 


20 12 6 


24 I 3 


27 10 


30 18 9 


830 


17 S 10 


20 15 


24 4 2 


27 13 4 


31 2 6 


835 


17 7 II 


20 17 6 


24 7 I 


27 16 8 


31 6 3 


840 


17 10 


21 


24 10 


28 


31 10 


845 


17 12 I 


21 2 6 


24 12 II 


28 3 4 


31 13 9 


850 


17 14 2 


21 5 


24 IS 10 


28 6 8 


31 17 6 


855 


17 16 3 


21 7 6 


24 18 9 


28 10 


32 I 3 


860 


17 18 4 


21 10 


25 I 8 


28 13 4 


32 5 


865 


18 5 


21 12 6 


2S 4 7 


28 16 8 


32 8 9 


870 


18 2 6 


21 15 


25 7 6 


29 


32 12 6 


875 


18 4 7 


21 17 6 


25 10 5 


29 3 4 


32 16 3 


880 


18 6 8 


22 


2S 13 4 


29 6 8 


33 


885 


18 8 9 


22 2 6 


25 16 3 


29 10 


33 3 9 


890 


18 10 10 


22 5 


25 19 2 


29 13 4 


33 7 6 


895 


18 12 II 


22 7 6 


26 2 I 


29 16 8 


33 II 3 


900 


18 15 


22 10 


26 5 


30 


33 IS 


910 


18 19 2 


22 15 


26 10 10 


30 6 8 


34 2 6 


920 


19 3 4 


23 


26 16 8 


30 13 4 


34 10 


930 


19 7 6 


23 5 


27 2 6 


31 


34 17 6 


940 


19 II 8 


23 10 


27 8 4 


31 6 8 


3S S 


950 


19 IS 10 


23 IS 


27 14 2 


31 13 4 


3S 12 6 


960 


20 


24 


28 


32 


36 


970 


20 4 2 


24 S 


28 5 10 


32 6 8 


36 7 6 


980 


20 8 4 


24 10 


28 II 8 


32 13 4 


36 IS 


990 


20 12 6 


24 IS 


28 17 6 


33 


37 2 6 


1,000 


20 16 8 


25 


29 3 4 


33 6 8 


37 10 



:l 



I > 



(201) 






INCOME TAX TABLES 



£1,010-1,500 



r 




TAX THEBEON AT FEB £ 






Income 
















5d. 


6^. 


7^. 


8^. 




^d. 


£ 


£ s. d. 


£ s. 


d. 


£ *. d. 


£ «. 


d. 


£ i. d. 


1,010 


21 10 


25 5 





29 9 2 


33 13 


4 


37 17 6 


1,020 


21 5 


25 10 





29 15 


34 





38 5 


1,030 


21 9 2 


25 15 





30 10 


34 6 


8 


38 12 6 


1,040 


21 13 4 


26 





30 6 8 


34 13 


4 


39 


1,050 


21 17 6 


26 5 





30 12 6 


35 





39 7 6 


1,060 


22 I 8 


26 ID 





30 18 4 


35 6 


8 


39 15 


1,070 


22 5 10 


26 15 





31 4 2 


35 13 


4 


40 2 6 


1,080 


22 10 


27 


C 


31 ID 


36 





40 10 


1,090 


22 14 2 


27 5 





31 15 10 


36 6 


8 


40 17 6 


1,100 


22 18 4 


27 10 





32 I 8 


36 13 


4 


41 5 


1,110 


23 2 6 


27 15 





32 7 6 


37 





41 12 6 


1,120 


23 6 8 


28 





32 13 4 


37 6 


8 


42 


1,130 


23 10 10 


i 5 





32 19 2 


37 13 


4 


42 7 6 


1,140 


23 15 


28 10 





33 5 


38 





42 15 


1,150 


23 19 2 


28 15 





33 10 10 


38 6 


8 


43 2 6 


1,160 


24 3 4 


29 





33 16 8 


38 13 


4 


43 10 . 


1,170 
1,180 


24 7 6 


29 5 





34 2 6 


39 





43 17 6 


24 II 8 


29 10 





34 8 4 


39 6 


8 


44 5 


1,190 


24 15 10 


29 15 





34 14 2 


39 13 


4' 


^ 12 6 


1,200 


25 


30 





35 


40 





45 


1,210 


25 4 2 


30 5 





35 5 10 


40 6 


8 


45 7 6 


1,220 


25 8 4 


30 10 





35 II 8 


40 13 


4 


45 15 


1,230 


25 12 6 


30 15 





35 r7 6 


41 





46 2 6 


1,240 


25 16 8 


31 





36 3 4 


41 6 


8 


46 10 


1,250 


26 10 


31 5 





36 9 2 


41 13 


4 


46 17 6 


1,260 


26 5 


31 10 





36 15 


42 





47 5 


1,270 


26 9 2 


31 15 





37 10 


42 6 


8 


47 12 6 


26 13 4 


32 





37 6 8 


42 13 


4 


48 


1,290 


26 17 6 


32 5 





37 12 6 


43 





48 7 6 


1,300 


27 I 8 


32 10 





37 18 4 


43 6 


8 


48 15 


1,310 


27 5 10 


32 15 





38 4 2 


43 13 


4 


49 2 6 


1,320 


27 10 


33 





38 10 


44 





49 10 


1,330 


27 14 2 

27 18 4 

28 2 6 


33 5 





38 15 10 


44 6 


8 


49 17 6 


1,340 
1,350 


33 10 
33 15 






39 I 8 
39 7 6 


44 13 

45 


4 



50 5 
50 12 6 


1,360 


28 6 8 




34 





39 13 4 


45 6 


8 


51 


1,370 


28 10 10 
28 15 




34 5 
34 10 






39 19 2 

40 5 


45 13 

46 


4 



51 7 6 
51 IS 


1,390 


28 19 2 


34 15 





40 10 10 


46 6 


8 


52 2 6 


1,400 


29 3 4 


35 





40 16 8 


46 13 


4 


52 10 


1,410 


29 7 6 


35 5 





41 2 6 


47 





52 17 6 


1,420 


29 II 8 


35 10 





41 8 4 


47 6 


8 


53 5 


1,430 


29 15 10 


35 15 





41 14 2 


47 13 


4 


53 12 6 


1,440 


30 


36 





42 


48 





54 


1,450 


30 4 2 


36 5 





42 5 10 


48 6 


8 


54 7 6 


1,460 


30 8 4 


36 10 





42 II 8 


48 13 


4 


54 15 


1,470 
1,480 


30 12 6 


36 15 





42 17 6 


49 





55 2 6 


30 16 8 


37 





43 3 4 


49 6 


8 


55 10 


1,490 


31 10 


37 5 





43 9 2 


49 13 


4 


55 17 6 


1,500 


31 5 


37 10 





43 15 


50 





56 5 



For explanation see p. 40 



f202> 



INCOME TAX TABLES 

£1,510 2,000 







TAX ' 


rHEBEON AT FEB £ 




Income 














5^. 


6^. 


• 


Id. 


8^. 


9^;. 


£ 


£ s. d. 


£ s. 


d. 


£ $. d. 


£ s. d. 


£ .s. rf. 


1,510 


31 9 2 


37 IS 





44 lb 


50 6 8 


56 12 6 


1,520 


31 13 4 


38 





44 6 8 


50 13 4 


57 


1,530 


31 17 6 


38 5 





44 12 6 


51 


57 7 6 


1,540 


32 I 8 


38 10 





44 18 4 


SI 6 8 


57 15 


1,550 


32 5 10 


38 15 





45 4 2 


51 13 4 


58 2 6 


1,560 


32 10 


39 





45 10 


52 


58 10 


1,570 


32 14 2 


39 5 





45 IS 10 


52 6 8 


58 17 6 


1,580 


32 18 4 


39 10 





46 I 8 


52 13 4 


59 5 


1,590 


33 2 6 


39 IS 





46 7 6 


53 


59 12 6 


1,600 


33 6 8 


40 





46 13 4 


S3 6 8 


60 


1,610 


33 10 10 


40 5 





46 19 2 


S3 13 4 


60 7 6 


1,620 


33 15 


40 10 





47 5 


54 


60 15 


1,630 


33 19 2 


40 IS 





47 10 10 


54 6 8 


61 2 6 


1,640 


34 3 4 


41 





47 16 8 


54 13 4 


61 10 


1,650 


34 7 6 


41 s 





48 2 6 


55 


61 17 6 


1,660 


34 II 8 


41 10 





48 8 4 


55 6 8 


62 5 


1,670 


34 15 10 


41 15 





48 14 2 


55 13 4 


62 12 6 


1,680 


. 35 


42 





49 


56 


63 


1,690 


35 4 2 


42 5 





49 5 10 


56 6 8 


63 7 6 


1,700 


35 8 4 


42 10 





49 II 8 


56 13 4 


63 15 


1,710 


35 12 6 


42 IS 





49 17 6 


57 


64 2 6 


1,720 


35 16 8 


43 





SO 3 4 


57 6 8 


64 10 


1,730 


36 10 


43 5 





SO 9 2 


57 13 4 


64 17 6 


1,740 


36 5 


43 10 





50 15 


58 


65 5 


1,750 


36 9 2 


43 IS 





51 10 


58 6 8 


65 12 6 


1,760 


36 13 4 


44 





51 6 8 


58 13 4 


66 


1,770 


36 17. 6 


44 5 





51 12 6 


59 


66 7 6 


1,780 


37 I 8 


44 10 





SI 18 4 


59 6 8 


66 15 


1,790 


37 5 10 


44 IS 





52 4 2 


59 13 4 


67 2 6 


1,800 


37 ID 


45 





52 10 


60 


67 10 X) 


1,810 


37 14 2 


45 5 





52 15 10 


60 6 8 


67 17 6 


1,820 


37 18 4 


45 10 





S3 I 8 


60 13 4 


68 5 


1,830 


3i \ \ 


45 IS 





S3 7 6 


61 


68 12 6 


1,840 


38 6 8 


46 





S3 13 4 


61 6 8 


69 


1,850 


38 ID 10 


46 5 





S3 19 2 


61 13 4 


69 7 6 


1,860 


38 IS 


46 10 





54 5 


62 


69 15 


1;IS 


38 19 2 


46 15 





54 10 10 


62 6 8 


70 2 6 


39 3 4 


47 





54 16 8 


62 13 4 


70 10 


1,890 


39 7 6 


47 5 





55 2 6 


63 


70 17 6 


1,900 


39 II 8 


47 ID 





55 8 4 


63 6 8 


71 5 


1,910 


39 15 ic 


47 IS 





55 14 2 


63 13 4 


71 12 6 


1,920 


40 


48 





56 


64 


72 


1,930 


40 4 2 
40 ^ 1 
4iD 12 6 


48 s 





56 5 10 


64 6 8 


72 7 6 


1,940 


48 10 





56 II 8 


64 13 4 


72 15 


1,950 


48 IS 





56 17 6 


65 


73 2 6 


1,960 


40 16 8 


49 





57 3 4 


65 6 8 


73 ID 


1,970 


41 10 


49 5 





57 9 2 


65 13 4 


73 17 6 


1,980 


41 5 


49 10 





57 15 


66 


74 5 


1,990 


41 9 2 


49 IS 





58 10 


66 6 8 


74 12 6 


2,000 


j 41 13 -^ 


50 




* 


58 6 8 


66 13 4 


75 



(203) 



M 



INCOME TAX TABLES 



i-i 



: t 



i 



r 



£2.050 5.000 



For explanation see p. 40 



(204) 







TAX 


. THEREON AT 


PES £ 




• 


Income 

1 


5^. 

£ ». d. 














6^. 

£ s. 


rf. 


7^. 


Sd. 

£ $. 


d. 


9d. 


£ 


£ s. d. 


£ t. d. 


2,050 1 


42 14 2 


51 5 





59 15 10 


68 6 


8 


76 17 6 


2,100 


43 15 


52 ID 





61 5 


70 





78 15 


2,150 


44 15 10 


53 15 





62 14 2 


71 13 


4 


80 12 6 


2,200 


45 16 8 


55 





64 3 4 


73 6 


8 


82 10 


2,250 


46 17 6 


56 5 





65 12 6 


75 





84 7 6 


2,300 


47 18 4 


57 10 





67 I 8 


76 13 


4 


86 5 


2,350 


48 19 2 


58 15 





68 10 10 


78 6 


8 


88 2 6 


2,400 


50 


60 





70 


80 





90 


2,450 


51 10 


61 5 





71 9 2 


81 13 


4 


91 17 6 


2,500 


52 1 8 


62 10 





72 18 4 


83 6 


8 


93 15 


2,550 


53 2 6 


63 15 





74 7 6 


85 





95 12 6 


2,600 


54 3 4 


65 





75 16 8 


86 13 


4 


97 10 


A65O 


55 4 2 


66 5 





77 5 10 


88 6 


8 


99 7 6 


2,700 


56 5 


67 10 





78 15 


90 





loi 5 


2,750 


57 5 10 


68 15 





80 4 2 


91 13 


4 


103 2 6 


2,800 


58 6 8 


70 





81 13 4 


93 6 


8 


105 


2,850 


59 7 6 


71 5 





83 2 6 


95 





106 17 6 


2,900 


60 8 4 


72 10 





84 II 8 


96 13 


4 


108 15 


2,950 


61 9 2 


73 15 





86 10 


98 6 


8 


no 12 6 


3,000 


62 10 


75 





87 10 


100 





112 10 


3,050 


63 10 10 


76 5 





88 19 2 


loi 13 


4 


114 7 6 


3,100 


64 II 8 


77 10 





90 8 4 


103 6 


8 


116 5 


3fiSo 


65 12 6 


78 15 





91 17 6 


105 





118 2 6- 


3,200 


66 13 4 


80 





93 6 8 


106 13 


4 


120 


3,250 


67 14 2 


81 5 





94 15 10 


108 6 


8 


121 17 6 


3,300 


' 68 15 


82 10 





96 5 


no 





123 15 


3,350 


69 15 10 


83 15 





97 14 2 


III 13 


4 


125 12 6 


3,400 


70 16 8 


85 





99 3 4 


113 6 


8 


127 10 


3,450 


71 17 6 


86 5 





100 12 6 


115 





129 7 6 


3,500 


72 i8 4 


87 10 





102 I 8 


116 13 


4 


131 5 


3,550 


73 19 2 


88 15 





103 10 ID 


118 6 


8 


133 2 6 


3,600 


75 


90 





105 


120 





135 


3,650 


76 10 


91 5 





106 9 2 


121 13 


1 


136 17 6 


3,700 


77 I 8 


92 10 





107 18 4 


123 6 


138 15 


3,750 


78 2 6 


93 15 





109 7 6 


125 





140 12 6 


3,800 


79 3 4 


95 





no 16 8 


126 13 


4 


142 10 


3,850 


80 4 2 


96 5 





112 5 10 


128 6 


8 


144 7 6 


3,900 


81 5 


97 10 





113 15 


130 





146 5 


3,950 


82 5 10 


98 15 





115 4 2 


131 13 


4 


148 2 6 


4,000 


83 6 8 


100 





116 13 4 


133 6 


8 


150 


4,100 


85 8 4 


102 10 





119 II 8 


136 13 


4 


153 15 


4,200 


87 10 


105 





122 10 


140 





157 10 


4,300 


89 II 8 


107 10 





125 8 4 


143 6 


8 


161 5 


4,400 


91 13 4 


no 





128 6 8 


146 13 


4 


165 


4,500 


93 15 


112 10 





131 5 


150 





168 15 


4,600 


95 16 8 


115 





134 3 4 


153 6 


8 


172 10 


4,700 

4,800 


97 18 4 
100 


117 10 
120 






137 I 8 
140 


156 13 
160 


4 



176 5 
180 


4,900 


102 I 8 


120 10 





142 18 4 


163 6 


8 


183 15 


5,000 


104 3 4 


125 





145 16 8 


166 13 


4 


187 10 



THE 

LOGARITHMS OP NATURAL NUMBERS 

TOGETHER WITH 

THOMAN'S LOGARITHMIC TABLES 

OF 

COMPOUND INTEREST AND ANNUITIES 

AND AN 

EXPLANATION OF THE TABLES 



(20s) 



M 1 



I . 






LOGARITHMS OF NATURAL NUMBERS 

Pages 229-266 contain the logarithms of the natural numbers from 
I to 10,000. 

The logarithm of a number is the index of the power to which 
the base must be raised to be equal to the number. Thus 5 x 5=5S 
where 5 is raised to the second power, and 2 is the index of the 
power. Again, 5x5x5 = 5^, where 5 is raised to the third power, 
and 3 is the index of the power. The base adopted for common 
logarithms such as are here given is 10, so that the logarithm 

of 100 is 2 because io'= 10x10 = 100 

of 1,000 „ 3 „ 10^=10x10x10 = 1,000 
of 10,000 ,, 4 „ 10'*= 10 X 10 X 10 X 10= 10,000 



and so on. But we may raise a number to any power we please, 
without confining ourselves to whole numbers. Thus 10^^ = 4*641 
as may be seen from page 244, where 666612 is given as the logarithm 

6 666 2 2 

of 4*641. Now 10^^ = 10'*^ = I ©3 very nearly, but io3 = V 10' that 
is the cube root of 100. The cube root of 100 is approximately 
4*641, that is to say 4*641 x 4641 x 4641 = 9996, which is very nearly 
100. By means of logarithms we may get our results as nearly exact 
as we please, and the larger number of figures we have in our log- 
arithms the more exact will our results be. 

We have said that *6666 is the logarithm of 4*641, but there is 
nothing in the table to show where the decimal point ought to come. 
For anythmg that appears in the table to the contrary, 6666 is the 
log of 4641, or 46*41 or 464*1. The explanation of this is. that 
only one part of the logarithm, called the mantissa^ is given in the 
table ; the other part of the logarithm, called the index or charac- 
teristic, is supplied by inspection, according to certain rules which 
will be described presently. The rationale of these rules is very 
easy to follow. The mantissa is the decimal part of the index of 
the power to which 10 must be raised to equal a given number, and 
if the index is o, it means that the power to which 10 has to be 
raised is less than unity, but as 10* or 10 to the first power = 10, it 
is plain that 10^^ must be less than 10, whence it follows that the 
natural number corresponding to log *6666 cannot be 46 4 or 464, 
because these numbers are more than 10. 

(207) 






Ii 



!i! 






LOGARITHMS OF NATURAL NUMBERS 

If we want to find the logarithm of 46-41, the complete 
logarithm must clearly be between i and 2, because i is the 
logarithm of 10, 2 is the log of 100 and 46 is between 10 
and 100. Clearly, therefore, the log of 46 must have i for 
its index, and, looking in the table for the decimal part of 
the log corresponding to 4641, we find it to be 6666. There- 
fore the complete log of 46*41 is 1*6666. This means that 10 

must be raised to a power the index of which is i 6666, that is to 

16666 5 

say 10'^^= io»«»o = io3= ^iqs. Now iqs equals 100,000, and 

the cube root of this is 46*41, more nearly 46*416, more nearly still 

46*4158929. The reason why the index part of the log can be so 

readily determined by inspection, and why therefore it is unnecessary 

to tabulate more than the mantissa or decimal part of the logarithm, is 

based upon the fact that multiplication of numbers can be performed 

by adding their logarithms together. Now, as we have just seen, the 

log of 10 is I, the log of 100 is 2, the log of 1,000 is 3, and so on. 

Hence, if we want to multiply a number by 10, we add i to the log ; 

to multiply by 100 we add 2 to the logarithm, and tp multiply by 

1,000 we add 3 to the logarithm of the number. Hence, 



4*641 X 10 
46*41 X 10 
464*1 X 10 
4641 X 10 



= log 0*6666 + log I = 
= log I *6666 + log I = 
= log 2*6666 + log I 
log 3*6666 4- log I : 



log 1*6666 
log 2*6666 
log 3*6666 
log 4*6666 



46*41 
464*1 
4641 
46410 



This leads us to the rule for determining the index part of the 
logarithm. If the number whose logarithm is sought contain one 
or more integral figures the index or characteristic is always one less 
than the number of integral figures in the number, and is positive. 

Negative Index 

Frequently, however, we have to deal with numbers that are less 
than unity, in which case the index of the logarithm becomes negative, 
although the decimal part remains positive. Dealing with these 
negative figures as we previously dealt with the positive ones, we see 
that 

10' =10, therefore i is the log of 10 



10" = I 



IO~'= 'I 

io~'= -oi 



IO~3 = 



•001 



if 
if 



o 

— I or I 

— 2 or 2 
-3 or 3 






a 



j» 



»> 



>) 



•I 

•01 

■00 1. 



and so on. This leads us to the rule for finding the index of quanti- 
ties less than unity, which is that the index is the same as the place 

(208) 



TO FIND THE LOGARITHM OF A NUMBER 

from the decimal point which the first significant figure of the num- 
ber occupies. Thus the first significant figure of *ooi is i, which is 
in the third place from the decimal point, and the index of the 
log is consequently 3, while the mantissa is o. This index, as 
stated above, is minus, the minus sign being written over the index 
thus 3, not in front of it thus — 3, in order to signify that the index 
only is minus, the mantissa remaining positive. 

In dealing with numbers less than unity the mantissa is kept 
positive, and the index only is made negative for the sake of con- 
venience in working ; but if there were any advantage in doing so 
the mantissa as well as the index could, of course, be made negative. 
We know that the log of 4641 is 06666, while the log of 100 is 
2, and we can divide 4641 by 100 by subtracting log 2 from 
log o*6666. This gives us log i'3334, the whole of which is 
minus, and is the log of -04641. Log — 1*3334 is exactly the same 
as log 2*6666, where the index only is minus, and the mantissa is 
plus. It is, however, found in practice much more convenient to 
keep the mantissa invariably positive, or plus, letting the index only 
be minus. 

Referring again to the example we have already quoted, and 
applying these two rules, we get the following results : — 

*ooo464i = log 4*666612. 

•004641 = log 3*666612. 

•04641 = log 2*666612. 

•4641 = log I •666612. 

4*641 = log 0*666612. 

46*41 =: log 1*666612. 

464*1 = log 2 '6666 1 2. 

4641 = log 3*666612. 

The special convenience of logarithms, and it is a very great one, 
is that by their aid numbers 
can be multiplied by the addition of their logs, 
divided „ subtraction „ 

raised to any power by the multiplication of their logarithms 
and their roots extracted by the division of their logarithms. 

To find the Logarithm of a Number 

Before giving examples of the use of logarithms, however, we must 
explain how to find the logarithm of a given number, and the number 
corresponding to a given logarithm. Where the number consists of 
only four figures it is immediately found from the tables by looking 
in the first column for the first three figures, and on the same line in 

(209) 



4> 



)t 



I«i 



LOGARITHMS OF NATURAL NUMBERS 

the column headed with the fourth figure the logarithm of the number 
will be found. 

Thus on p. 232 we see that the decimal part of the logarithm of 
1501 is 176381. 

Again on p. 242 we find that the decimal part of the logarithm 
of 4341 is 637590. 

If, however, we want to find the logarithm of 43405, which is 
half way between 4340 and 4341, we must take the logarithm as half 
way between 637490 and 637590, which = log 637540. 

In order to facilitate finding the logarithms of numbers containing 
five or more figures, a column of differences is given on each page of 
the tables. In the case just given the difference is seen to be 100, 
which means that there is a difference of -oooioo between the 
logs of one number and the next. 

To obtain the logarithm of a number containing five figures we 
take the logarithm of the first four figures direct from the table, then 
multiply the difference by the fifth figure of the number, divide the 
result by 10 and add it to the logarithm of the first four numbers. 
Thus to repeat the example just given : 



4340 

the difference 100 x 5 

43405 



= log 637490 
10 = log 50 

= log 637540 



If we wish to find the logarithm of a number containing six figures 
we take the first five figures m the way just described, and to obtain 
the difference for the sixth figure we multiply the difference by the 
sixth figure and divide the result by 100. 

Thus to find the log of 434054. 

43405 r= log 637540 

the difference for 6th figure 100 x 4 — 100 = log 4 

434054 = log 637544 

The differences in this case are exceptionally simple to calculate 
because m the example chosen the difference is exactly 100, but the 
simphcity of the calculation serves to show with special clearness the 
principle involved. This principle of course is, that to find the 
difference for the 5th figure of a number we must multiply the differ- 
ence given in the table by a fraction of which 10 is the denominator 
and the 5th figure of the number is the numerator. To obtain the 
6th figure the difference must be multiplied by a fraction of which 
me denominator is 106 and the numerator the 6th figure. To find 

(210) 



THE NUMBER CORRESPONDING TO A LOGARITHM 

the difference corresponding to the 7th figure the denominator 
is 1000 and the numerator the 7th figure and so on, as far as we 

please. 

In dealing with these differences it must always be borne in mind 
that the figures printed in the Table of Differences come at the ex- 
treme right-hand end of the logarithms in the main part of the table. 
That is to say, if the difference printed in the last column is 100 it 
is understood to be really -000100. If the printed difference is 99 it 
is to be understood as -000099, while obviously the difference corre- 
sponding to the 5th figure must be in all cases less than the printed 
difference. If this is remembered there will be no fear of any 
mistake in taking out the logarithms for numbers containing five or 
six figures. 

To find the Number Corresponding to a Logarithm 

To find a number corresponding to a given logarithm we must 
look in the table for the nearest logarithm to the one we are dealing 
with. The first three figures of the logarithms are printed in large 
type on the top of the page. On the left-hand pages the first three 
figures of the Jirsf logarithm on the page are given. On the right- 
hand pages the first three figures of the /as/ logarithm on the page 
are given, so that we can readily see whether the logarithm with 
which we are concerned does or does not come on a given page. 

Now, let us suppose that we wish to find the natural number 
corresponding to log 735868. From p. 246 we see that log 
735838 (which is 30 less than the logarithm we are dealing with) 
= 5443. The difference printed in the last column on this line is 
80, and signifies that 80 corresponds to a difference of i in the 
4th figure of the natural numbers, therefore 30 corresponds to a 

difference of ^ x 10 in the 5 th figure of the natural numbers. 
80 

This = 375, so that the total number corresponding to log 735868 

= 5443375- 

Thus to find the number corresponding to a logarithm that is not 

given exactly in the table we must take from the table the nearest 

logarithm below the given logarithm and obtain the 5th and following 

figures of the natural number by dividing the difference between 

these two logarithms by the difference printed in the tables. The 

numerator of this fraction consisting of the difference between the 

given logarithm and the nearest logarithm below it printed in the 

tables, being multiplied by 10 to obtain the 5th figure of the 

natural number and by 100 to obtain the 6th figure, and so on. 

(211) 






il 



LOGARITHMS OF NATURAL JNUMBERS 

Multiplication by Logarithms 

Having seen how to find the logarithm corresponding to a 
number and the number corresponding to a logarithm, we may now 
proceed to the practical use of logarithms. 

Multiplication of numbers is accomplished by the addition of 
the logarithms of their numbers, thus : 



log 3-406029 (p. 237) 
log 3-868233 (p. 254) 



2547 = 
7383 = 
2547 ^ 7383 = log 727426 2 = 18804500. 



The Index of the log being 7, there must be 8 .figures in the 
answer. 

A reference to p. 232 shows that the nearest logarithm to the 
logarithm of the answer is 274158, giving a difference of 104, which 
divided by the Tabular Difference of 231 equals very approximately 
45 for the 5th and 6th figures of the answer. 

Other examples of Multiplication by means of logarithms are 
appended. 

Multiply 25-75 by 4-217. 

2575 = log 1-410777 (p. 237) 
4-217 = log 0-625004 (p. 243) 

25-75 X 4-217 = lo g 2-035781 = 108-58775 (p. 231) 
Multiply 3847 by 0632. 

3847= log 3-585122 (p. 241) 
•0632 = log 2800717 (p. 250) 

3847 X -0632 = 2-385839 = 243-1302 (p. 234) 

The exact answer in this case is 243-1304, which is obtained by 
usmg seven-figure logarithms, as follows : — 

3847 = log 3 5851222 
-0632= log 2-8007171 

3847 X 0632 = 2-3858 393= 243-1304. 

It must, therefore, be borne in mind that to obtain exact results 
it is necessary to use a large number of figures in the logarithm, 
but the six figures given in the tables are suflftcient for most practical 
purposes. 



(212) 



DIVISION BY LOGARITHMS 



Division by Logarithms 

The division of numbers is accomplished by subtraction of their 
logarithms, the logarithm of the divisor being taken from the divi- 
dend, the remainder being the logarithm of the quotient. Thus to 
divide 4364 by 2536 we have 

4364 = log 3-639885 (p. 242) 
2536 = log ^404149 (P- 237) 
4364^-2536 = log 0-235736= 1-7208 (p. 232) 

Divide 426-53 by 32*79. 

426-53 = log 2-629950 (p. 243) 
32-79 = log 1-515741 (p. 239) 

426-53^-32-79 = log 1- 114209 = 13008 (p. 230) 

m 

Divide 3279 by 426-53. 

32-79 = log 1-515741 (p. 239) 
426-53 = log 2-629950 (p. 243) 

32-79 -f- 426-53 = log 2-885791 =-076876 (p. 257) 

Divide 8652 by -0461. 

8652 = log 3-937117 (P- 260) 
-0461 =log 2-663701 (p. 244) 

8652 -r- -0461= log 5-273416 =187679 (p. 233) 

In the last example we are subtracting a negative characteristic, 
and of course the subtraction of a minus quantity is accomplished 
by the addition of the corresponding positive or plus quantity. 
Divide 0461 by 8652. 

•0461 =log 2-663701 (p. 244) 
8652 = log 3-93711 7 (P- 260) 

•0461 -5-8652 = log 6-726584 = -000005328 (p. 247) 

In this example we are subtracting a positive characteristic from 
a negative one, and this involves the addition of the corresponding 
negative quantity. If, as we have just seen, 

8652-^-0461 = 187679 =log 5-273416 and 
•0461 H- 8652 = -000005328 = log 6-726584 

187679 X -000005328 = log 0'000000= I, 

thus affording an instructive proof of the accuracy of the results by 
adding the two logarithms together and obtaining the answer. 

(213) 



( 



LOGARITHMS OF NATURAL NUMBERS 



Involution by Logarithms 

To raise a number to any given power we multiply the logarithm 
of the number by the index of the power. Thus the cube of loo is 
log 2-000 X 3 = log 6-000 = 1,000,000 = 100 X 100 X 100. 



Similarly 

733' 
•00733= 

•007333 



:l0g 2*865104 X2 

log 3-865104x2; 
log 3-865104x3; 



= log 5730208 
log 5730208: 
log 7*595312: 



537289 

•0000537 

-0000003938 



In the last two examples we had negative characteristics to deal with, 
and it will be noticed that after multiplying the decimal part of the log- 
arithm by 2 there was a positive remainder of i, which is subtracted 
from twice the negative characteristic. Similarly in the cube there 
' was a remainder of 2, which was subtracted from three times the 
negative characteristic. This treatment of the matter is an obvious 
consequence of the mantissa being positive and the characteristic 
negative. 

Evolution by Logarithms 

• To find the root of a given number we must divide the logarithm 
of the number by the exponent of the root. Thus to find 

the square root of a number we divide the log by 2 ; 
» cube „ „ „ » 3; 

„ fourth „ „ „ » 4; 

and so on. 

For example : 

^537289 = log 5 -730208 -f- 2 = log 2-865 104 = 733 
v^i7'43 =log 1*241297 -f-3 = logo-4i3766 = 2-5928 
V2560000 = log 6-408240 -J- 4 = log I -602060 = 40 
^•0081 = log3-9o8485 h- 3 = log i -302828 = -20083 
^•00081 = log 4-908485-^3 = log 2 -969495 = -0932 1 7 

In this last instance we had a negative characteristic to deal with, 
and the most convenient way of treating it was to add — 2 to the 4 
of the index, so obtaining a number, 6, which is exactly divisible by 
3. To compensate for thus dealing with the index we must prefix 
an index of + 2 to the mantissa, and divide this result also by 3. 
The process thus becomes : 

log 4 -f 2 . . . . = log 6 this -f- 3 = log 2 

log 908485 + 2 = log 2-908485 this -j- 3 = log 0-969495 

log 4-908485 -h 3 = log 2-969495 
(214) — — 



EVOLUTION BY LOGARITHMS 

'f his produces the same result as if we had stated our entire log- 
arithm as negative, divided it by 3, and subsequently converted it into 
a logarithm with a negative index and a positive mantissa. Thus : 



is the same as 



log — 4-000000 
log + 0908485 

log-3-091515 



when both index and mantissa are negative. 

This divided by 3 = log- 1030505, the whole of which is still 
negative. But this equals log 2-969495, where the index is negative 
and the mantissa positive, and this is the result obtained by dividing 

4-908485 by 3. , .^ ^ 

Thus the rule for dividing a logarithm with a negative mdex if the 
index is not exactly divisible by the divisor, is to add such a negative 
number to it as will make it exactly divisible, and prefix to the frac- 
tional part of the logarithm a positive integer equal to the negative 
integer added to the negative index. Of course, by adding a minus 
quantity to one part of the logarithm and a corresponding plus quantity 
to another part of it, the value of the logarithm is unaltered. 



:ti 



(«5) 



COMPOUND INTEREST 

The Amount of i in any Number of Periods 

Pages 269-316 contain M. Thoman's logarithmic tables of the 
amount of ;^i at the end of any number of years and the logarithm 
of the annuity which £1 will purchase. The great value of these 
tables, and the various uses to which they may be put, will be at once 
apparent when the use of logarithms is understood. On p. 9 we 
showed that the amount of ^i in any number of years— or, more 
generally, the amount of i in any number of periods— is the amount 
of I in I period raised to the nih. power. This is expressed as (1 + if, 
where / is the rate of interest and n the number of years. M. Thoman 
uses the symbol r as the equivalent of i +/, which means the amount 
of I in I period, but the modern practice is to use / for the rate of 
interest and 1+/ for the amount of i in i period. Now, as a 
number may be raised to any power by multiplying the logarithm 
of the number by the index of the power, we can obviously obtain 
the amount of ^^i in any number of years with very little trouble. 
Thus, if we want to know the amount of ^i in 25 years at 4 %, we 
have to find the value of ro^'^K The log of 1*04 is seen from p. 230 
to be 0-017033. This multiplied by 25 equals log 0*425825, which, 
from p. 237, we find to be 2-6658, which agrees with the result given in 
the interest table on p. 70. On turning to Thoman's table on p. 291 
the logarithm is seen to be 04258335, and taking the natural 
number corresponding to this logarithm we get 266584, which 
agrees with the 5 places of decimals in the interest table of p. 70. 
It thus appears that to obtain the amount of i at the end of any 
number of periods we must multiply the log of i -f / at the end of 
I period by the number of periods. The natural number correspond- 
ing to the logarithm thus obtained gives the required result. 

Further examples are appended. 

What is the amount of £1 at the end of 73 years at 5I % per 
annum ? 

Turning to M. Thoman's table on p. 306 we find in "the column 
headed log r" year 73, log 1-8099199, which is the logarithm 
of the answer. From the logarithmic table on p. 251 we find that 
this corresponds to 64*5535. 

(216) 



AMOUNT OF 1 IN ANY NUMBER OF PERIODS 

What is the amount oi £1 at the end of 27 years at 3!% per 

annum ? 

This rate of interest is not tabulated, so we must take the log of 
(1+/)^'. Now, as / = 3i% or -032, the value of i 4- / = 1032, 
= log 00 1 368, which is the logarithm given on p. 230. Multiplying 
this by 27, we obtain as our answer log 36936 = 2-3408. 

It will be seen that by means of logarithms enormous calcula- 
tions may be made with the greatest ease. Thus suppose we want 
to know the amount to which id. will accumulate at 5 % compound 
interest in 1900 years ; our answer in pence is 1-05^^ = log 0*02 11 893 
X 1900 = log 40-25967. To obtain the answer in pounds we sub- 
tract the log of 240, namely 2-38021, thus leaving log 3787946 

= ;^7 5, 763,500,000,000,000,000,000,000,000,000,000,000. 

If we wish to extend the calculation and show what income would 
be yielded from such an amount as this at 5 % interest every second 
to every man, woman, and child on the face of the earth, we have 
simply to divide by 20 to find the annual income from this sum, 
then by 365^ to find the daily income, by 24 to find the income 
hourly, by 60 to find the income per minute, by 60 again to find 
the income per second, and finally by (say) 1,483 millions to find 
the income in each second for every individual in the world. 
These divisions are readily accomplished by adding the logarithms 
of the numbers together and subtracting the total from the logarithm 
of the amount of id. at the end of 1900 years. Thus, 





1-05^500 


= log 40259670 


240 = log 2 3802 1 1 






20 = log 1*301030 






365-25 = log 2-562590 






24 —log! -3802 1 1 




• 


60 = log 1778151 






60 =logi778i5i 






1,483,000,000 = log 9-17 1 141 




log 20-351485 






log 19-908185 



which gives us £80,944,000,000,000,000,000 per second as the 
income for every man, woman, and child in every second from the 
accumulations of id. at 5% compound interest for 1900 years. 

We often require to know, not so much what £1 will amount to 
in any number of times, but what various other amounts will come 
to. This is arrived at by the help of logarithms with very great 
ease. We have only to add the logarithm of the amount to the 
logarithm of the amount of £1 in the given number of years to at 
once obtain the logarithm of the answer. 

(217) 



h 



I 



COMPOUND INTEREST 

What will £4372 amount to in 46 years at 4 % ? 

1-04^ = log 07835336 (p. 291) 
4372 = log 3-6406802 (p. 242) 

1-04^ X 4372 = log 4^242x38=^26,559. 
Again, what will £987 amount to at the end of 22 years at 

3^^ = 3*583, so that I +/= I -03583 = log 0-0152899 (p. 320) 
i'o3583'' = log 0*0152899 X 22 = log '3363778 

987 = log 2-9943172 =log 2-9943172 (p. 264) 

103583- X 987 = log 3^306^95^ = £2141-4. 

Present Value of £1 

On p. 10 we showed that v= - '— ., where v is the present value 

I +/ 

of £1, and z;"=(— -— J , where n represents the term. Hence to 

obtain the present value of £1 due at the end of any number 
of years we subtract the log of (1+/)" from the log of i". Thus, 
suppose we require to know the present value of £1 due at the 
end of 20 years at 5%, w^e have (i -f /)" = 1-05^= log -021 189 x 20 
= log 0-42378 to be subtracted from i" = log 0-000000. Now log 
o'oooooo — log 0-42378 = log 1*57622 = -3769, this agreeing with 
the result given in the interest tables on p. 74. The log of (i +/")'* is 
obtained from the columns headed log r" on p. 299, and by sub- 
tracting the logarithm there given from the log of i we obtain the 
logarithm of the present value of i due at the end of n years. 
Further examples are appended. 

What is the present value of £1 due at the end of 22 years at 

44%? 

From p. 298 we see that log (i + /)" = log r" = 0*4547834. 

«=^-~-.j =log 0*0000000 - log o-4547834 = log 7-5452166 

= -£•35093- 



/ 



V 



What is the present value of j£i due at the end of 47 years at 

o.T 0/ ;> 

^s /o ' 

This equals log 0-0000000 — log 0-4791140 (p. 278)=log 
r52o886o = -33i8i- 

What is the present value of ;£i due at the end of 30 years at 

3^%? 

(218) 



ANNUITY WHICH ;^i WILL PURCHASE 

This rate of interest is equivalent to 3 0625, and is not tabulated, 
so we must find from the table on p. 230 the logarithm of 1-030625, 
multiply by 30, and subtract it from the logarithm of i. 

I = log O'oooooo 
1*0306253° = log -0131007 X30 = log -393021 

i-o3o6253° =^Qg 1^606979 =^-40456 
What is the present value of ;^i due at the end of 25 years at 

3*%? _ 

This rate of interest also is not tabulated, but the logarithm 
corresponding to i + / when i is at the rate of 3I % is given in 
the column log r, p. 320. It is there seen to be 0-0163368. 
Multiplying this by 25 we have log 04084 2, which, subtracted from 
log I, leaves log i -591 58, corresponding to -39046. 



Annuity which £1 will Purchase 

On pp. 16 and 17 we explain the Sinking Fund Tables given on 
pp. 106-115. It is there shown that the Sinking Fund is obtained 
by dividing unity by the amount of jQ\ per annum. It is, however, 
further explained (p. 17) that in this table no provision is made for 
paying interest on the capital. If this has to be done, the amounts 
given in the Sinking Fund Table must be increased each year by the 
annual interest on £\. Thus, if the Sinking Fund required to 
replace £^\ in ten years at 4 % is ;^ -083291 per annum, we must 
add the annual interest on ;^i = *o4 to this amount, in order to 
obtain the annuity which jQ\ will purchase for ten years at 4 %. 
The result of this addition is (-083291 +-04=) -123291, the logarithm 
of which is 1*090931, which is the logarithm given in the column 
headed «" on p. 291. M. Thoman uses the symbol a" to represent 
this quantity, but in modern notation it is more usually expressed 

by the symbol — . It will, moreover, be noticed that in M. Thoman's 

tables the index of the logarithm is given as 9 instead of i, as given 
above. The reason of this is that some people think it more 
convenient to avoid the negative characteristics of logarithms 
by adding 10 to the index, subtracting the negative index, when it 
occurs, from this 10, and so always dealing with a positive index. 
The 10 that has been added is subsequently deducted from the index, 
and thus the same result is arrived at. The more usual and, we 
think, the more convenient plan is not to employ this artifice, but to 

(219) N 



COMPOUND Interest 

deal with negative characteristics, whenever they occur, in the 
manner already explained. Another point to be noticed in M. 
Thoman's logarithmic tables is that he puts a comma between the 
index and mantissa, and a decimal point between the 5th and 6th 
decimal places'. It is more in accordance with modern English 
custom to put the decimal point between the index and mantissa of 
the logarithm, while there is nothing to be gained by putting any 
mark at all between the 5th and 6th decimal places. Thus 0,1 7033*34 
in Thoman=o'i 703334 in modern notation ; and in regard to negative 
characteristics 9,09093- 1 2 in Thoman = 1-09093 12 in modern notation, 
and so on throughout wherever the index is seen by inspection, as it 
readily can be, to have had 10 added to it. 

From what has already been said, it will be seen that in dealing 
with annuities there are four things to be considered. One is the 
sum to which an annuity will amount in any number of years ; 
another is the present value of an annuity for any number of years ; 
the third is the annuity for any number of years which i or any other 
given amount will purchase ; and the fourth is the sinking fund 
which will redeem a debt in a given number of years. The third 
and fourth of these only differ by the amount of the interest on the 
debt for one year or one period, as has just been explained. It is 
the third of these for which the logarithm is given in M. Thoman's 
tables on pp. 269-316 in the column headed a". The fourth is 
tabulated in natural numbers under the head of Sinking Fund on 
pp. 106-115. Dealing with the third of these first, namely the 
annuity which ^i will purchase for any number of years, we have 
to notice that it is the reciprocal of the present value of ^i per 
annum tabulated in natural numbers on pp. 50-85. Obviously 
if the present value of an annuity of ^i per annum for 20 years 
at 4 % is 1 3*59033 (p. 70) an annuity for 20 years at 4 %, of which 



the present value is j£i, is equivalent to 



of;£'i. This 



i3'59033 
equals ^'0735817, the logarithm of which is 2*866770, thus agreeing 

with the logarithm given on p. 291, where, however, the logarithm 

is stated as 8,86677*02. This difference in the method of stating the 

logarithm has already been explained. 

As another example we may take the present value of an annuity 
for 26 years at 2| %. This is ^18*40226 (p. 64), and taking the 
reciprocal of this amount we have -054341 15 = log 2735129, which 
agrees wath the logarithm given on p. 281. 

Thus to find the annuity which i will purchase, we have only to 
take the natural number corresponding to the logarithm given on 
pp. 269-316 under the heading log a". 

f220) 



ANNUITY WHICH £1 WILL PURCHASE 

A few examples may be added. What annuity for 27 years will 

£1 buy at 3} % ? 

Ans. (p. 285) log 2*7497045 = *o56i96. 

For 86 years at 5i % ? 

Ans. (p. 300) log 2-7i56373=*o5i956. 

For 7 years at 3 % ? 

Ans. (p.283) log r-2054922 = *i6o5o6 =-130506-1; -03 (5<?f p. no). 

If we require to know the annuity which any amount other than 
I will purchase, we haVe- simply to multiply the annuity which i 
will purchase by the amount. 

This is readily done by taking the logarithm of the amount, 
adding it to the logarithm of the annuity which i will purchase, and 
taking the natural number corresponding to the logarithm. Take, 
for example, the annuity for 27 years at 3 J % that may be pur- 
chased for ^£3,92 7- 

392 7=log 3^594061 (p. 241) 

The annuity which i will purchase=log 2*749704 (p. 285) 
n 3927 



=log 2-343765 ^.£220-68. 



What annuity for 68 years may be purchased for ;^5,737> 
reckoning interest at 4^ % ? 

5737=log 3758685 (p. 249) 
The annuity which i will buy=log 2*675548 (p. 295) 



>j 



»» 



5737 



>> 



=log 2-434233=^271-79. 



The annuity that may be bought for i at rates not given in 
the table may be calculated from the formula ^ — ^ — 
=log />log(i + /)"-log [(i +/)"-!]. 



a 



(I +/)«-! 



What annuity for 30 years will £1 purchase at 5%? 

/ = -05 = log 2-6989700 (p. 318) 
(i + /)«= I -053° = log 0-02 1 1 893 X 30 = log 06356790 = 4-32 194 

/ (i 4. /)« = -05x1 -053° = log I -3346490 

(i-f /)"-!= 4'32i94-i =log 0*5213918 

_L(i_±it= '05 X 1-053 ° 

(l +/)«-! 3*32194 



"^^ =log2-8i32572= -065051 



This is the figure given on p. 299, save that the last figures of the 
logarithm are 70 instead of 72, a difference that is inappreciable. 

(221) N 2 



^\ 



r 



II 






! i 



I! I i 



COMPOUND INTEREST 

What annuity for lo years will ;^683 purchase at 4-1 %? 

/*= -041= log 2-6127839 (p. 319) 
(i 4-/)'*= I -041'° = log 0-01745073 X 10 = log o-i 745073 = 1-49454 

/(!+/)*= -041x1041'° =log2"-78729i2 
(i +/)^— 1 = 1-49454— I = log I -69420 14 

^'(i + /)" __ -041 X 1-041^° :: ~~ 

683 = log 2-8344207 ^ 
Annuity ^683 will buy for 10 years = log 1-9275 105 = 84-6273 



Present Value of j£i per Annum 

We have just seen that the present value of an annuity is the 
reciprocal of the amount of the annuity which i will purchase for 
the same period at the same rate of interest. In other words, the 
annuity which i will purchase and the present value of an annuity 
multiplied together produce unity — the period and the rate of interest, 
of course, being the same in both cases. The logarithms of the 
annuity which i will purchase are given in the column headed a'\ 
on pp. 269-316. By subtracting this tabulated logarithm from o, which 
is the log of I, we obtain the logarithm of the present value of an 
annuity of i. 

What is the present value of an annuity of ;^i per annum for 
43 years at 3 J % ? 

I =logo-ooooooo 
Annuity i will purchase for 43 years 
at 3I % = log 2-6824736 (p. 290) 

Present value of ^^i per annum for 
43 years at 3J % . . . =log i-3i75264 = ;^2o-7743 



What is the present value of ;^i per annum for 30 years at 5 % ? 

I =log o -0000000 
The annuity which i will purchase 

for 30 years at 5 % . . . ^ log 2-8132570 (p. 299) 

Present value of £^\ per annum for 

- 30 years at 5% . . .=log i'i86743o ==;^i5-37245 

This result may be seen m the table on p. 74. Although 
the present values of annuities are given in natural numbers on 
pp. 50-85, it is often convenient to have the logarithms of the values 
rather than the natural numbers. Thus, suppose we want to know 

(222) 



PRESENT VALUE OF £\ PER ANNUM 



the present value of an annuity of ;^47-25 per annum for 30 years at 
5 %. To obtain the result we must multiply the value of £\ per 
annum by 47*25, and this, as has been already explained, can be most 
readily done by the addition of the logarithms of the two numbers. 



Present value of £,\ per annum 
for 30 years at 5 % 

47-25 

i5'37245 X 47*25 



= log 1-186743 (p. 299) 
= log 1-674402 (p. 245) 

= log 2-861 145=;£726-35» 



which is the present value of an annuity of ^47-25 per annum for 

30 years at 5%. 

What is the present value of an annuity of ^8642 for 68 years 

at2j%? 



8642 
Value of annuity of J[,\ (log o 

-log 2-5269372) 
Value of annuity of ;^8642 for 

68 years at 2 J % 



= log 3-9366143 (p. 260) 
= log I 4730628 (p. 282) 
= log5-409677i=;^256849. 



The value of an annuity for some other rate of interest than is 
given in the tables may sometimes be needed, and we must 
therefore explain how the value may be arrived at. 

We have already shown (p. 221) that the present value of an 
annuity is the reciprocal of the annuity that i will purchase, and 
that the annuity which i will purchase may be obtained from 

the formula ^^^^^^^ , Hence the formula for finding the 
(i+/)"-i 

present value of an annuity is (^-tOj^ =log[(i -I- /)"-T]--log / 

-log(i+/)«. 

We may repeat the example already dealt with. What is the 
present value of j£i per annum for 30 years at 5 % ? 

(i +/)«= i-o53° = log 0-0211893 X 30 = log 0-6356790=4-32194 

(i +/)"— i=4*32i94- I =3'32^94 =log 05213918 

tz= -05 =log 2*6989700 

(i -I- /)" = 1-053° =log 0-6356790 



/(i -!-/)«= -05 X I -053° = log i-3346490=log 1-3346490 



(L± 0" - I ^4'32 194 — I 
t{i-\-iy -05 XI -053° 



£ 



=log i-i867428=i5*372 






(223) 



COMPOUND INTEREST 

If the logarithm here found is added to the logarithm found in 
the converse problem on p. 221, we have 

log I '1867428 
log 2-8132572 

log 0*0000000=1 ' 

thus showing that the answers are reciprocals of each other. 

What is the present value of ;^i per annum for 75 years at 

37%? 



1-03775 

1-03775. 

•037 
1-03775 



= log 0-0157788x75 = log 1-1834100=15-255 
1= _ 14-255 =log 1-1539672 

— log 2*5682017 
= log 1-1834100 log r75i6ii7 



I -03775 _ I 



•037 X 1-037 



75 



= log 1-4023555 = ;£25-2555. 



The Amount of £1 per Annum 

Another calculation that we sometimes require to make is the 
sum to which an annuity will amount in a given number of years 
at a specified rate of interest.. 

If we know the present value of the annuity, and if we know 
also the sum to which ^i will amount in the given period, we can, 
by multiplying the present value by the amount of ^i, obtain the 
sum to which the annuity will amount in the period. Thus, suppose 
we wish to ascertain the amount of ^i per annum for 20 years 
at 5 %. Turning to p. 74, we see that the present value of ;^i 
per annum is 12*46221, and on the same page we see that the 
amount of ^i in 20 years is 2-6533. Multiplying these two 
amounts together we have 33*066, which agrees with the amount 
of ;£i per annum given on the same page. 

The reason of this connection is plain, for since the possession 
"of an annuity of ^i for 20 years at 5% is mathematically equi- 
valent to having ^12-46221 in hand now, and as the sum to which 
;^i 2-4622 1 will amount in 20 years is the amount of ^i in 20 years 
multiplied by 12-46221 (=2-6533 x 12-46221 = 33-066), this must 
also be the sum to which an annuity of ;^i will amount in 20 years 

at 5 %• 

This result may very easily be obtained by logarithms from the 
tables on pp. 269-316. In the column headed «" we have, as 
already explained, the reciprocal of the present value of an annuity, 
and in the column headed r" we have the amount of ;;^i, and we 

(224) 



SINKING FUND 

make use of these two tables in the following way to obtain, as in 
the example just given, the amount of £1 per annum in 20 years 

at 5 %. 

Turning to p. 299, we have 

Value of annuity = (log o - log 2-9044049=) log 1*0955951 
Amount of ^i = l^S 0^4237860 

Amount of annuity in 20 years at 5% = log i'5^93^^^ 

= ^33066, thus agreeing with the result previously obtained. 
Some additional examples are appended. 
What is the amount of £1 per annum at the end of 63 years 

at3i%? , «x 

Value of.annuity =log 1-4259707 (P- 285) 

Amount of £1 = log 0-87507 38 (p. 285) 
Amount of annuity =log 2-3010445 = 200007. 

* 

What is the amount of ^735 per annum at the end of 34 years 

at 2i % ? 

Value of annuity = log 1-3327200 (p. 282) 

Amount of £1 =log 0*4185348 (p. 282) 
735 = log 2*8662^73 (p. 254) 
Amount of £nS P-a. in 34 years = log 4*6175421 =£4iAS^'^^' 

It will be noticed that the logarithm of the annual payment is 
added to the other two logarithms, thus conveniently effecting the 
necessary multiplication. 



i 



Sinking Fund 

A reference to the remarks on pp. 16, 17, and 219 will show the 
connection between the sinking fund and the annuity which ^i 
will purchase ; it will be seen that it is only necessary to deduct 
the rate of interest from the annuity which £1 will purchase to 
obtain the sinking fund. Thus the sinking fund which will redeem 
a debt of ^i in 25 years at 4 % is obtained by taking trom p. 291 
the annuity which i will purchase = log 2*8062612 = -064012, and 
subtracting from this amount the rate of interest -04 ..whence we have 
•024012, which is the sinking fund given on p. 112. 

Further examples as obtained by logarithms are appended. 

What annual payment will redeem a debt of £1 in 65 years at 



4i%? 



(225) 



COMPOUND INTEREST 



III 



The annuity i will purchase (p. 292) 
Subtract the interest for i year 

Sinking fund 



= 2-6479998 = -044463 
= •04125 

= •003213 



What is the annual sinking fund that will amount to ;^337 in 
43 years at 2f % ? 

Annuity i will buy = log 2-5918772 (p. 280) 
337 =log 2-5276299 (p. 238) 
Annuity 337 will buy =log i'iT9507i = 13-16760 

Deduct interest on 337 for i year =33 7 x ~^^ — = 8-8462 c 

8 X 100 ^ 

Sinking fund to redeem 337 in 43 years == 4-32135 

Or the calculation may be made in a slightly different way : 

Annuity i will buy =±log "2-5918772= '039073 

Sinking fund to redeem i 

= '039073 - '02625 = log 2-1079896 = -012823 

337= log 2-5 276299 

Sinking fund to redeem 337 = log 0-6356195 =^4-32135 



Annuities for which the Rate of Interest on Capital is 
Different from the Rate for Sinking Fund 

As explained on p. 18, we require for this calculation to know the 
annual sinking fund that will amount to ;^i in a given period at the 
lower rate of interest, and to know also the annual interest upon ;^i. 
The present value of an annuity equal to the addition of these two 
is I, and the present value of an annuity of i is the reciprocal of the 
present value just mentioned. 

What annuity must be paid during 29 years to repay a debt of ;^i 
by accumulation at 3 J % and to pay interest on the loan at 4^ %? 

The annuity which will amount to ;£■! in 29 years at 3^% 
is obtained by multiplying the annuity which i will purchase for 
29 years by the present value of i due at the end of 29 years. 

Annuity /^i will purchase (p. 285) = log 2-7305144 

Present value of^i (p. 285) = log 1-5971883 

Annuity to amount to ;^i in 29 years - log 2-3277027 = -021267 
Annual interest on ^i . = *o4S 

Annual payment required 



= log 2-8212973 = 066267 



(226) 



LOGARITHM OF THE RATE OF INTEREST 

If, on the other hand, we want to know the present value of an 
annuity of ;£i for 29 years on the condition that interest on the 
loan is being paid at 4^ %, and the principal is being replaced by 
accumulation at 3J %t we must take the reciprocal of the above 
amount. This is log 0-0 - log 2^-82 12973 = 1*1787027 = ;£i 5*0905. 

What is the value of an annuity of ^i for 50 years yielding 
interest on capital at 5 %, and replacing capital when invested at 

3%? 

• Annuity;^! will purchase (p. 283) = log 2-5895642 
Present value of ^i (p. 283) = log 1-3581388 

Annuity to amount to £1 in 50 years = log 3-9477030 = "0088655 
Annual interest on £1 = '050 

Annuity to pay ^i and interest = log 2-7698608 = -0588655 

Required value of annuity = log 0*0 — log 2-7698608 = log 
1*2301392 = ^16-98788, which agrees with the amount given on 

p. 120. 

As in other cases, the values or amounts of annuities other than 
£1 may be obtained by the addition of the logarithms. 

Logarithm of the Rate of Interest 

The Tables on pp. 318-320 give the logarithm of the rate of inte- 
rest under the heading /. This is in modern notation represented 
by the symbol i. On p. 318 this is given to 10 places of decimals 
for every rate given in M. Thoman's first Table (pp. 269-316). On 
p. 319 it is given for every J^th % up to 10 % and on p. 320 for 
every ^V^h % also up to 10 %. 

This Table is convenient for such calculations as the present 
value of ^i per annum, as may be seen from the first example on 

p. 222. 

It has several times been pointed out that the more decimals are 
taken in the logarithm the more nearly exact will be the results. 
This is especially the case when the logarithm has to be multiplied. 



Logarithm of the Amount of i in i Period 

This logarithm is given to 7 places of decimals on pp. 269-316 
in the column r", but on p. 318 the logarithm is given to 10 places 
of decimals. As has just been said, the use of to places gives more 
nearly exact results than 7 places, though for most purposes 7 places 
are sufficient. 

(227) 



1 1 



COMPOUND INTEREST 

As an example of a fairly large difference, as differences go, take 
the amount of ^^i for 90 years at 2| % :— 

1-028759° {see p. 2i6) = log 0-0123098482 (p. 318^ x go 

= log 1-1078863380=12-8199544. 
1-028759° = log 0-0123098 X 90 = log 1-1078820=12-8198265. 

This only gives a difference of 25 shillings in the amount of 
^10,000 in 90 years, thus showing that 7 places are usually ample. 
Even this difference does not occur if we take the logarithm from 
p. 282, where it is seen to be log 1-1078863= 12-8199533, giving a 
difference of ;^i in the amount of one million pounds in 90 years. 

The lo-figure logarithms are useful, however, for the construction 
of a table of (1+/)" (or /-"), as in pp. 269-316, where the multiplica- 
tion is worked to 10 places, and the nearest 7 places are printed. 
This accounts for the smaller variation when (H-/)9° is taken from 
p. 282. 

The tables on pp. 319 and 320 give log (1+/), or log /-, as 
M. Thoman called it, for every ^^^th and ^Vth %, and it is more 
convenient to take these logarithms from this table than from the 
table of logarithms on pp. 230-266. 

The Logarithms of Log r 

Under the heading of Mog2 r' we have the logarithm of 'log n' 
Thus at ^ % 'log /-' = 0-00216606 ; and from p. 235 we see that 
this number = log 3-33567, which agrees with the value of 'log^ r' 
on p. 318. 

We sometimes find it convenient to multiply a logarithm by 
taking the logarithm of the logarithm and adding the logarithm of 
the multiplier. This gives us a logarithm of the second order, as it 
were (log-), and the number corresponding to this log^ is the log 
we require. 

Thus to get the logarithm of (i ^tj^ when / = -04, we have 

log2 r= log 2-2312998 (p. 318) 
87= log 1-9395^93 
log (i -|-/)87 = log2 0-1708191 = log 1-48190, 

thus agreeing with the figure given on p. 291 and with log (i -f-/) X87 
by ordinary multiplication. 



(228) 



I 



TABLE 



OF 



THE LOGARITHMS 



OP 



THE NATURAL NUMBERS 

From 1 to 10,000 



For explanation see pp. 207-215 

(229) 



I \ t 



llf 



: 



111 



Log. 000. No. 100. 



LOGARITHMS 



No. 



100 
lOI 
102 
103 
104 

105 
106 

107 

108 
109 

no 
III 

112 

"3 

114 

116 

117 
118 
119 

120 
121 
122 
123 
124 

126 

'^ 
128 

129 
130 

132 

133 
134 

136 

137 
138 
139 

140 
141 
142 

143 
144 

146 

147 
148 
149 







OCXXX)0 

004321 
008600 
012837 

017033 

021 189 
025306 
029384 

033424 
037426 

041393 
045323 

049218 

053078 

056905 

060698 
064458 
068186 
071882 

075547 

079I8I 
082785 

086360 

089905 
093422 

096910 
00371 
03804 
07210 

10590 
13943 

I727I 

20574 
23852 
27105 

30334 

33539 
36721 

39879 
43015 

46128 
49219 
52288 

55336 
58362 

61368 

64353 
67317 
70262 

73186 



000434 
004751 
009026 

013259 
01 745 1 

021603 
025715 
029789 
033826 
037825 

041787 

045714 
049606 

053463 
057286 

061075 
064832 
068557 
072250 
075912 

079543 
083144 

086716 

090258 

093772 

097257 
1007 1 5 

104146 

107549 
1 10926 

1 14277 
1 17603 
120903 
124178 
127429 

130655 

133858 

^37037 
140194 

143327 
146438 
149527 
152594 
155640 
158664 

161667 
164650 
167613 

170555 
173478 



2 



000868 
005181 
009451 
013680 
017868 

022016 
026125 

03019s 
034227 

038223 

042182 
046105 

049993 
053846 
057666 

061452 
065206 
068928 
072617 
076276 

079904 

083503 
087071 

090611 

094122 

097604 
101059 
104487 
107888 
1 1 1263 

114611 

1 1 7934 
121231 
124504 

127753 

130977 

134177 
137354 
140508 

143639 

146748 

149835 
152900 

155943 
158965 

I 6 1967 
164947 
167908 
170848 
173769 



001301 
005609 
009876 
014100 
018284 

022428 
026533 
030600 
034628 
038620 

042576 
046495 
050380 
054230 
058046 

061829 
065580 
069298 
072985 
076640 

080266 
083861 
087426 
090963 
094471 

097951 
101403 
104828 
108227 

I "599 

1 14944 
1 18265 
121560 
124830 
128076 

131298 
134496 
1 3767 1 
140822 
14395 1 

147058 
I 50142 
153205 
156246 
1 59266 

162266 
165244 
168203 
171141 
174060 



001734 
006038 
010300 
014521 
018700 

022841 
026942 
031004 
035029 
039017 

042969 
046885 
050766 

054613 
058426 

062206 

065953 
069668 

073352 
077004 

080626 
084219 
087781 
091315 
094820 

098298 
101747 
105169 
108565 

"1934 

1 15278 
1 18595 
121888 
125156 
128399 

131619 
134814 

137987 
141136 
144263 

147367 
150449 

153510 

156549 

159567 

162564 

165541 
168497 

I 7 1434 
I 7435 I 



Diif. 



433 
429 

425 

421 

416 

412 
409 

405 
401 

397 

393 
390 

387 

383 
380 

377 
374 
370 
367 
364 

361 
358 

355 
352 

349 

347 
344 
341 
338 
336 

333 
330 
328 
326 
323 

321 

319 
316 

314 
312 

310 
307 
305 
303 
301 

299 
297 
295 

293 
291 



OF NUMBERS 



Log. 175. No. 149. 



No. 



100 
lOI 
102 
103 
104 

105 
106 

107 
108 
109 

no 
III 
112 

"3 
114 

"5 
116 

V^ 

119 

120 
121 
122 
123 

. 124 



128 
129 

130 

131 

132 

133 
134 

136 
137 

138 

139 

140 

141 

142 

143 
144 

145 

146 

147 

148 

149 



002166 
006466 
010724 
014940 
OI9II6 

023252 
027350 
031408 

035430 
039414 

043362 
047275 

05II53 
054996 
058805 

062582 
066326 
070038 
073718 

077368 

080987 
084576 
088136 

091667 

095169 

098644 
I 0209 I 
I055IO 
108903 
1 12270 

II 561 I 

II 8926 
I222I6 

I 2548 I 

128722 

I3I939 
I35I33 
138303 
I4I450 
144574 

147676 
150756 
I538I5 

156852 
159868 

162863 

165838 

168792 
I7I726 

17464 1 



002598 
006894 
01 1 147 
015360 

019532 

023664 

027757 

03I8I2 

035830 
03981 I 

043755 

047664 

051538 
055378 
059185 

062958 
066699 
070407 
074085 

077731 

081347 
084934 

088490 
092018 

095518 

098990 
102434 
I0585I 
10924*1 
1 1 2605 

I I 5943 
I 19256 
122544 
125806 
129045 



003029 
007321 
011570 

015779 
019947 

024075 
028164 
032216 
036230 
040207 

044148 
048053 
051924 
055760 

059563 

063333 
067071 

070776 

074451 
078094 

081707 
085291 
088845 
092370 
095866 

09933s 
102777 

106191 
109579 
I 12940 

I 16276 
1 19586 
122871 
126131 
129368 



8 



132260 


132580 


I 3545 I 


135769 


138618 


138934 


141763 


142076 


144885 


145196 


147985 


148294 


151063 


151370 


154120 


154424 


157154 


157457 


160168 


160469 


163161 


163460 


166134 


166430 


169086 


169380 


172019 


172311 


174932 


175222 



003461 
007748 

011993 

016197 
020361 

024486 
028571 
032619 
036629 
040602 

044540 

048442 

052309 
056142 

059942 

063709 

067443 
07 I 145 

074816 

078457 

082067 
085647 
089198 
092721 
096215 

099681 
103119 
I0653I 

109916 

11327s 

116608 

II99I5 
I23I98 

126456 
129690 

132900 

136086 
139249 
142389 

145507 

148603 
151676 

154728 

I577S9 
160769 

163758 
166726 
169674 
172603 
175512 



9 



003891 
008174 
012415 
016616 
020775 

024896 
028978 
033021 
037028 
040998 

044932 
048830 
052694 
056524 
060320 

064083 
067815 

071514 
075182 
078819 

082426 
086004 
089552 
093071 
096562 

100026 
103462 
10687 1 
I 10253 
1 13609 

116940 
120245 

123525 
126781 
130012 



DiflE. 



431 

427 

423 
419 

415 

411 
407 
403 
399 
396 

392 

389 

385 
382 

379 

375 
372 

369 
366 

363 

360 

357 
354 
351 
348 

345 
343 
340 

337 
335 

332 
329 
327 

325 
322 



I332I9 


320 


136403 


318 


139564 


315 


142702 


313 


145818 


3" 


148911 


309 


151982 


306 


155032 


304 


158061 


302 


161068 


300 


16405s 


298 


167022 


296 


169968 


294 


172895 


292 


175802 


290 



For explanation see pp. 207-215 



(230) 



(331) 



LOGARITHMS 



Log. 176. No. 150. 



No. 





1 

1 76381 


2 


3 


4 


Dili. 


150 


I7609I 


176670 


176959 


177248 


289 


151 


178977 


179264 


179552 


179839 


I 801 26 


287 


152 


I8I844 


I82I29 


182415 


182700 


182985 


285 


153 


I 8469 I 


184975 


185259 


185542 


185825 


283 


154 


I8752I 


187803 


188084 


188366 


188647 


281 


155 


190332 


I906I2 


190892 


191171 


191451 


279 


156 


I93I25 


193403 


I 9368 I 


193^59 


194237 


278 


'57 


195900 


I96I76 


196453 


196729 


197005 


276 


158 


198657 


198932 


199206 


I 9948 I 


199755 


274 


159 


201397 


201670 


201943 


202216 


202488 


273 


160 


204120 


204391 


204663 


204934 


205204 


271 


161 


206826 


207096 


207365 


207634 


207904 


269 


162 


209515 


209783 


210051 


210319 


210586 


268 


163 


2I2IS8 


212454 


212720 


212986 


213252 


266 


164 


214844 


2I5I09 


215373 


215638 


215902 


264 


'5§ 


217484 


217747 


218010 


218273 


218536 


263 


166 


220108 


220370 


220631 


220892 


221153 


261 


\% 


222716 


222976 


223236 


223496 


223755 


260 


225309 


225568 


225826 


226084 


226342 


258 


169 


227887 


228144 


228400 


228657 


228913 


257 


170 


230449 


230704 


230960 


231215 


231470 


255 


171 


232996 


233250 


233504 


233757 


23401 I 


254 


172 


235528 


235781 


236033 


236285 


236537 


252 


173 


238046 


238297 


238548 


238799 


239049 


251 


174 


240549 


240799 


241048 


241297 


241546 


249 


'Z§ 


243038 


243286 


243534 


243782 


244030 


248 


176 


245513 


245759 


246006 


246252 


246499 


246 


177 


247973 


248219 


248464 


248709 


248954 


245 


178 


250420 


250664 


250908 


251151 


251395 


244 


179 


252853 


253096 


253338 


253580 


253822 


242 


180 


255273 


255514 


255755 


255996 


256237 


241 


181 


257679 


257918 


258158 


258398 


258637 


240 


182 


260071 


260310 


260548 


260787 


261025 


238 


183 


262451 


262688 


262925 


263162 


263399 


237 


184 


264818 


265054 


265290 


265525 


265761 


236 


185 


267172 


267406 


267641 


267875 


2681 10 


234 


186 


269513 


269746 


269980 


270213 


270446 


233 


187 


271842 


272074 


272306 


272538 


272770 


232 


188 


274158 


274389 


274620 


274850 


275081 


231 


189 


276462 


276692 


276921 


277151 


277380 


229 


190 


278754 


278982 


27921 1 


279439 


279667 


228 


191 


281033 


28I26I 


281488 


281715 


281942 


227 


192 


283301 


283527 


283753 


283979 


284205 


226 


193 


285557 


285782 


286007 


286232 


286456 


225 


194 


287802 


288026 


288249 


288473 


288696 


224 


195 


290035 


290257 


290480 


290702 


290925 


222 


196 


292256 


292478 


292699 


292920 


293141 


221 


197 


294466 


294687 


294907 


295127 


295347 


220 


198 


296665 


296884 


297104 


297323 


297542 


219 


199 


298853 


299071 


299289 


299507 


299725 


218 



For explanation see PP- 207-215 



(232) 



OF NUMBERS 


















Log. 


300 


, No. 


199. 


No. 


5 


6 


7 


8 


9 


Diff. 


150 


177536 


177825 


178113 


I 78401 


178689 


288 


151 


180413 


180699 


180986 


181272 


181558 


286 


152 


183270 


18355s 


183839 


184123 


184407 


284 


153 . 


186108 


I 8639 I 


186674 


186956 


187239 


283 


154 


188928 


189209 


189490 


189771 


19005 1 


281 


155 


191730 


192010 


192289 


192567 


192846 


279 


156 


194514 


194792 


195069 


195346 


195623 


277 


157 


197281 


197556 


197832 


198107 


198382 


275 


158 


200029 


200303 


200577 


200850 


201124 


274 


159 


202761 


203033 


203305 


203577 


203848 


272 


160 


205475 


205746 


206016 


206286 


206556 


270 


161 


208173 


208441 


208710 


208979 


209247 


269 


162 


210853 


211121 


211388 


211654 


211921 


267 


163 


213518 


213783 


214049 


214314 


214579 


265 


164 


216166 


216430 


216694 


216957 


217221 


264 


165 


218798 


219060 


219323 


219585 


219846 


262 


166 


221414 


221675 


221936 


222196 


222456 


260 


167 


224015 


224274 


224533 


224792 


225051 


259 


168 


226600 


226858 


227115 


227372 


227630 


257 


169 


229170 


229426 


229682 


229938 


230193 


256 


170 


231724 


231979 


232234 


232488 


232742 


254 


171 


234264 


234517 


234770 


235023 


235276 


253 


172 


236789 


237041 


237292 


237544 


237795 


251 


173 


239299 


239550 


239800 


240050 


240300 


250 


174 


241795 


242044 


242293 


242541 


242790 


249 


175 


244277 


244525 


244772 


245019 


245266 


247 


178 


246745 


246991 


247237 


247482 


247728 


246 


177 


249198 


249443 


249687 


249932 


250176 


244 


178 


251638 


251881 


252125 


252368 


252610 


243 


179 


254064 


254306 


254548 


254790 


255031 


242 


180 


256477 


256718 


256958 


257198 


257439 


240 


181 


258877 


259116 


259355 


259594 


259833 


239 


182 


261263 


261501 


261739 


261976 


262214 


238 


183 


263636 


263873 


264109 


264346 


26458* 


236 


184 


265996 


266232 


266467 


266702 


266937 


235 


'M 


268344 


268578 


268812 


269046 


269279 


234 


270679 


270912 


271144 


271377 


271609 


233 


\U 


273001 


273233 


273464 


273696 


273927 


231 


27531 1 


275542 


275772 


276002 


276232 


230 


189 


, 277609 


277838 


278067 


278296 


278525 


229 


190 


279895 


280123 


280351 


280578 


280806 


228 


191 


282169 


282396 


282622 


282849 


283075 


226 


192 


284431 


284656 


284882 


285107 


285332 


225 


193 


286681 


286905 


287130 


287354 


287578 


224 


194 


288920 


289143 


289366 


289589 


289812 


223 


195 


291147 


291369 


291591 


291813 


292034 


222 


196 


293363 


293584 


293804 


294025 


294246 


221 


197 


295567 


295787 


296007 


296226 


296446 


220 


198 


297761 


297979 


298198 


298416 


298635 


218 


199 


299943 


300161 


300378 


300595 


300813 


217 



(233J 



LOGARITHMS 




i I 



Log. 301. No. 200. 



No. 





1 


2 


3 


4 


Difl. 
217 


200 


301030 


301247 


301464 


301681 


301898 


201 


303196 


303412 


303628 


303844 


304059 


216 


202 


305351 


305566 


305781 


305996 


3062 I I 


215 


203 


307496 


307710 


307924 


308137 


308351 


214 


204 


309630 


309843 


310056 


310268 


3 1048 I 


213 


205 


31 1754 


31 1966 


312177 


312389 


312600 


212 


206 


313867 


314078 


314289 


314499 


314710 


211 


207 


315970 


316180 


316390 


316599 


316809 


210 


208 


318063 


318272 


318481 


318689 


318898 


209 


209 


320146 


320354 


320562 


320769 


320977 


208 


210 


322219 


322426 


322633 


322839 


323046 


207 


2X1 


324282 


324488 


324694 


324899 


325105 


206 


212 


326336 


326541 


326745 


326950 


327155 


205 


213 


328380 


328583 


328787 


328991 


329194 


204 


214 


330414 


330617 


330819 


331022 


331225 


203 


215 


332438 


332640 


332842 


333044 


333246 


202 


216 


334454 


334655 


334856 


335057 


335257 


201 


217 


336460 


336660 


336860 


337060 


337260 


200 


218 


338456 


338656 


338855 


339054 


339253 


199 


219 


340444 


340642 


340841 


341039 


341237 


198 


220 


342423 


342620 


342817 


343014 


343212 


197 


221 


344392 


344589 


344785 


344981 


345178 


196 


222 


346353 


346549 


346744 


346939 


347135 


195 


223 


348305 


348500 


348694 


348889 


349083 


194 


224 


350248 


350442 


350636 


350829 


351023 


194 


225 


352183 


352375 


352568 


352761 


352954 


193 


226 


354108 


354301 


354493 


354685 


354876 


192 


227 


356026 


356217 


356408 


356599 


356790 


191 


22!i 


357935 


358125 


358316 


358506 


.358696 


190 


229 


359835 


360025 


360215 


360404 


360593 


190 


230 


361728 


361917 


362105 


362294 


362482 


189 


231 


363612 


363800 


363988 


364176 


364363 


188 


232 


365488 


365675 


365862 


366049 


366236 


187 


233 


367356 


367542 


367729 


367915 


368101 


186 


234 


369216 


369401 


369587 


369772 


369958 


185 


235 


371068 


371253 


371437 


371622 


371806 


185 


236 


372912 


373096 


373280 


373464 


373647 


184 


237 


374748 


374932 


375115 


375298 


375481 


183 


238 


376577 


376759 


376942 


377124 


377306 


182 


239 


378398 


378580 


378761 


378943 


379124 


182 


240 


38021 I 


380392 


380573 


380754 


380934 


181 


241 


382017 


382197 


382377 


382557 


382737 


180 


242 


383815 


383995 


384174 


384353 


384533 


179 


243 


385606 


385785 


385964 


386142 


386321 


179 


244 


387390 


387568 


387746 


387923 


388101 


178 


24s 


389166 


389343 


389520 


389698 


389875 


^77 


246 


390935 


391 I 12 


391288 


391464 


391641 


176 


247 


392697 


392873 


393048 


393224 


393400 


176 


248 


394452 


394627 


394802 


394977 


395152 


175 


249 


396199 


396374 


396548 


396722 


396896 


174 



OF NUMBERS 



Log. 397. No. 249. 



For explanation see pp. 207-215 



(234) 



No. 



200 

aoi 
202 
203 
204 

205 
206 

207 
208 
209 

210 
211 
212 
213 
214 

215 
216 

21 

21 

219 

220 
221 
222 
223 

224 

225 
226 
227 
228 
229 

230 
231 
232 

233 
234 

235 
237 

239 

240 
241 
242 

243 

244 



249 



3021 14 
304275 
306425 
308564 

310693 

312812 
314920 
317018 
319106 
321 184 

323252 
325310 
327359 
329398 
331427 

333447 
335458 
337459 
339451 
341435 

343409 
345374 
347330 
349278 
351216 

353147 
355068 

356981 
358886 
360783 

362671 

364551 
366423 

368287 
370143 

371991 
373831 
375664 
377488 
379306 

381115 
382917 
384712 

386499 
388279 

390051 
391817 

393575 
395326 
397071 



6 



302331 
304491 
306639 
308778 
310906 

313023 
315130 
317227 

319314 
321391 

323458 

325516 

327563 
329601 

331630 

333649 
335658 
337659 
339650- 
341632 

343606 
345570 

347525 
349472 
351410 

353339 
355260 

357172 
359076 
360972 

362859 

364739 
366610 

368473 
370328 

372175 
374015 
375846 
377670 

379487 

381296 

383097 
384891 

386677 

388456 

390228 

391993 
393751 
395501 
397245 



302547 
304706 

306854 

308991 

311118 

313234 
315340 
317436 
319522 

321598 

323665 
325721 

327767 
329805 

331832 

333850 
335859 
337858 

339849 
341830 

343802 
345766 
347720 
349666 
351603 

353532 
355452 

357363 
359266 
361 161 

363048 
364926 
366796 

368659 
370513 

372360 

374198 
376029 

377852 
379668 

381476 

383277 
385070 

386856 
388634 

390405 
392169 
393926 
395676 
397419 



8 



302764 
304921 
307068 

309204 
31 1330 

313445 

315551 
317646 

319730 
321805 

323871 
325926 

327972 
330008 

332034 

334051 

336059 
338058 

340047 
342028 

343999 
345962 

347915 
349860 

351796 

353724 
355643 
357554 
359456 
361350 

363236 

3651 13 
366983 

368845 

370698 

372544 
374382 
376212 

378034 
379849 

381656 
383456 
385249 
387034 
388811 

390582 

392345 
394101 

395850 

397592 



9 



302980 

305136 
307282 

309417 
31 1542 

313656 
315760 

317854 
319938 
322012 

324077 
326131 
328176 
330211 
332236 

334253 
336260 

338257 
340246 
342225 

344196 

346157 
348110 

350054 

351989 

353916 
355834 
357744 
359646 
361539 

363424 
365301 
367169 
369030 
370883 

372728 

374565 
376394 
378216 
380030 

381837 
383636 
385428 
387212 
388989 

390759 
392521 

394277 
396025 

397766 



Difl. 



2J6 

215 

214 

213 

212 

211 
210 
209 
208 
207 

206 
205 
204 
203 
202 

201 
200 
199 
199 
198 

197 
196 

19s 
194 

193 

192 
192 
191 
190 
189 

188 
187 
187 
186 
185 

184 

183 
183 
182 
181 

180 
180 
179 
178 
177 

177 
176 

175 
175 
174 



(235) 



LOGAKITHMS 






:\ 



Log. 397. No. 250. 



No. 




397940 


1 


2 


3 

398461 


4 


Diff. 


250 


3981 14 


398287 


398634 


173 


251 


399674 


399847 


400020 


400192 


400365 


173 


252 


40I40I 


401573 


401745 


401917 


402089 


172 


253 


403I2I 


403292 


403464 


403635 


403807 


171 


254 


404834 


405005 


405176 


405346 


405517 


171 


256 • 


406540 


406710 


406881 


407051 


407221 


170 


408240 


408410 


408579 


408749 


408918 


169 


257 


409933 


410102 


410271 


410440 


410609 


169 


258 


41 1620 


41 1788 


41 1956 


412124 


412293 


168 


259 


413300 


413467 


413635 


413803 


413970 


167 


260 


414973 


415140 


415307 


415474 


415641 


167 


261 


4I664I 


416807 


416973 


417139 


417306 


166 


262 


4I830I 


418467 


418633 


418798 


4 I 8964 


165 


263 


419956 


420121 


420286 


420451 


420616 


165 


264 


421604 


421768 


421933 


422097 


422261 


164 


265 


423246 


423410 


423574 


423737 


423901 


163 


266 


424882 


425045 


425208 


425371 


425534 


163 


267 


4265 I I 


426674 


426836 


426999 


427161 


162 


268 


428135 


428297 


428459 


428621 


428783 


162 


269 


429752 


429914 


430075 


430236 


430398 


161 


270 


431364 


431525 


431685 


431846 


432007 


160 


271 


432969 


433130 


433290 


433450 


433610 


160 


272 


434569 


434729 


434888 


435048 


435207 


159 


273 


436163 


436322 


436481 


436640 


436799 


159 


274 


437751 


437909 


438067 


438226 


438384 


158 


275 


439333 


439491 


439648 


439806 


439964 


157 


440909 


441066 


441224 


441381 


441538 


157 


277 


442480 


442637 


442793 


442950 


443106 


156 


278 


444045 


/]/]/\?,Ol 


444357 


444513 


444669 


156 


279 


445604 


445760 


445915 


446071 


446226 


15s 


280 


447158 


447313 


447468 


447623 


447778 


155 


281 


448706 


448861 


449015 


449170 


449324 


154 


282 


450249 


450403 


450557 


4507 1 1 


450865 


154 


283 


451786 


451940 


452093 


452247 


452400 


153 


284 


453318 


453471 


453624 


453777 


453930 


153 


285 


454845 


454997 


455150 


455302 


455454 


152 


286 


456366 


456518 


456670 


456821 


456973 


152 


287 


457882 


458033 


458184 


458336 


458487 


151 


288 


459392 


459543 


459694 


459845 


459995 


151 


289 


460898 


461048 


461 198 


461348 


461499 


150 


290 


462398 


462548 


462697 


462847 


462997 


149 


291 


463893 


464042 


464191 


464340 


464490 


149 


292 


465383 


465532 


465680 


465829 


465977 


148 


293 


466868 


467016 


467164 


467312 


467460 


148 


294 


468347 


468495 


468643 


468790 


468938 


147 


295 


469822 


469969 


4701 16 


470263 


470410 


147 


296 


471292 


471438 


471585 


47 '732 


471878 


146 


297 


472756 


472903 


473049 


473195 


473341 


146 


298 


474216 


474362 


474508 


474653 


474799 


146 


299 


475671 


475816 


475962 


476107 


476252 


145 



OF NUMBERS 



No. 



For explanation see pp. 207-215 



(236) 



250 

251 
252 

253 

2S4 

256 

257 
258 

259 

260 
261 
262 
263 
264 

265 
266 
267 
268 
269 

270 
271 
272 

273 

274 

276 

278 
279 

280 
281 
282 
283 
284 

285 
286 
287 
288 
289 

290 
291 
292 

293 
294 

295 
296 



299 



398808 
400538 
402261 
403978 
405688 

407391 
409087 

410777 

412461 

414137 

415808 
417472 
419129 
420781 
422426 

424065 
425697 

427324 
428944 

430559 

432167 
433770 
435367 
436957 
438542 

440122 
441695 

443263 
444825 

446382 

447933 
449478 

451018 

452553 
454082 

455606 

457125 
458638 
460146 
461649 

463146 
464639 
466126 
467608 
469085 

470557 
472025 

473487 
474944 
476397 



6 



Log. 476. No. 299. 



398981 

4007 1 1 

402433 
404149 

405858 

407561 
409257 

410946. 
412629 

414305 

415974 
417638 

419295 
420945 

422590 

424228 
425860 
427486 
429106 

430720 

432328 

433930 
435526 
4371 16 
438701 

440279 
441852 

443419 
444981 

446537 

448088 

449633 
45II72 

452706 

454235 

455758 
457276 

458789 

460296 

461799 

463296 

464788 

466274 

467756 
469233 

470704 
472I7I 

473633 
475090 
476542 



8 



399154 
400883 

402605 
404320 
406029 

407731 
409426 
411114 
412796 
414472 

416141 
417804 
419460 
421 1 10 
422754 

424392 
426023 
427648 
429268 
430881 

432488 
434090 
435685 
437275 
438859 

440437 
442009 

443576 

445137 
446692 

448242 
449787 
451326 
452859 
454387 

455910 
457428 
458940 
460447 
461948 

463445 
464936 
466423 

467904 
469380 

470851 
472318 

473779 

475235 
476687 



9 



399328 
401056 
402777 

404492 
406199 

407901 

409595 
41 1283 

412964 

414639 

416308 
417970 
419625 

421275 
422918 

424555 
426186 

42781 1 

429429 
431042 

432649 

434249 

435844 

437433 
439017 

440594 
442166 

443732 

445293 
446848 

448397 
449941 

451479 
453012 

454540 
456062 

457579 
459091 
460597 
462098 

463594 
465085 

466571 

468052 

469527 

470998 
472464 
473925 
475381 
476832 



399501 
401228 

402949 
404663 

406370 

408070 
409764 
411451 
413132 
414806 

416474 

418135 

419791 

421439 
423082 

424718 
426349 

427973 
429591 
431203 

432809 

434409 
436004 

437592 

439175 

440752 

442323 
443889 

445449 
447003 

448552 
450095 
451633 
453165 
454692 

456214 

457731 
459242 

460748 

462248 

463744 
465234 
466719 
468200 

469675 

471145 
472610 

474071 

475526 

476976 



Diff. 


173 


173 


172 


171 


171 



170 
169 
169 

168 

167 

167 
166 

165 
165 

164 

163 
163 

162 
162 

161 

160 
160 

159 
159 

158 

157 
157 

156 
156 

155 

155 
154 
154 
153 
153 

152 
152 

151 
150 

150 

149 
149 
148 
148 
147 

147 

146 
146 
146 

145 



(237) 



OS 



LOGABITHUS 



Log. 477. No. 300. 



No. 





1 


2 


3 


4 


Diff. 


300 


477I2I 


477266 


47741 1 


477555 


477700 


145 


301 


478566 


47871 1 


478855 


478999 


479143 


144 


302 


480007 


4801 5 I 


480294 


480438 


480582 


144 


303 


481443 


481586 


481729 


481872 


482016 


143 


304 


482874 


483016 


483159 


483302 


483445 


143 


305 


484300 


484442 


484585 


484727 


484869 


142 


306 


485721 


485863 


486005 


486147 


486289 


142 


307 


487138 


487280 


487421 


487563 


487704 


141 


308 


488551 


488692 


488833 


488974 


4891 14 


141 


309 


489958 


490099 


490239 


490380 


490520 


140 


310 


491362 


491502 


491642 


491782 


491922 


140 


3" 


492760 


492900 


493040 


493179 


493319 


139 


312 


494155 


494294 


494433 


494572 


4947 1 1 


139 


313 


495544 


495683 


495822 


495960 


496099 


138 


314 


496930 


497068 


497206 


497344 


497483 


138 


315 


4983 1 1 


498448 


498586 


498724 


498862 


138 


310 


499687 


499824 


499962 


500099 


500236 


137 


317 


501059 


501 196 


501333 


501470 


501607 


137 


318 


502427 


502564 


502700 


502837 


502973 


136 


319 


503791 


503927 


504063 


504199 


504335 


136 


320 


505150 


505286 


505421 


505557 


505693 


136 


321 


506505 


506640 


'06776 


50691 1 


507046 


13s 


322 


507856 


507991 


J08126 


508260 


508395 


135 


323 


509203 


509337 


509471 


509606 . 


509740 


134 


324 


510545 


510679 


510813 


510947 


511081 


134 


335 


51 1883 


512017 


512151 


512284 


512418 


133 


320 


513218 


513351 


513484 


513617 


513750 


133 


327 


514548 


5 1468 I 


514813 


514946 


515079 


133 


328 


515874 


516006 


516139 


516271 


516403 


132 


329 


517196 


517328 


517460 


517592 


517724 


132 


330 


518514 


518646 


518777 


518909 


519040 


131 


331 


519828 


519959 


520090 


520221 


520353 


131 


332 


521138 


521269 


521400 


521530 


521661 


131 


333 


522444 


, 522575 


522705 


522835 


522966 


130 


334 


523746 


' 523876 


524006 


524136 


524266 


130 


^^5 


525045 


525174 


525304 


525434 


525563 


129 


330 


526339 


526469 


526598 


526727 


526856 


129 


337 


527630 


527759 


527888 * 


528016 


528145 


129 


338 


528917 


529045 


529174 


529302 


529430 


128 


339 


530200 


530328 


530456 


530584 


530712 


128 


340 


531479 


531607 


531734 


531862 


531990 


128 


341 


532754 


532882 


533009 


533136 


533264 


127 


342 


534026 


534153 


534280 


534407 


534534 


127 


343 


535294 


535421 


535547 


535674 


535800 


126 


344 


536558 


536685 


53681 I 


536937 


'537063 


126 


fji 


537819 


537945 


538071 


538197 


538322 


126 


539076 


539202 


539327 


539452 


539578 


125 


347 


540329 


540455 


540580 


540705 


540830 


125 


348 


541579 


541704 


541829 


541953 


542078 


125 


349 


542825 


542950 


543074 


543199 


543323 


124 



For explanation see pp. 207-215 



(238) 



OF NUMBERS 


















Log. 543 


L No. 


349. 


No. 


5 


6 


7 


8 


9 


Diff. 


300 


477844 


m 
477989 


478133 


478278 


478422 


H5 


301 


479287 


479431 


479575 


479719 


479863 


144 


302 


480725 


480869 


481012 


481 156 


481299 


144 


303 


482159 


482302 


482445 


482588 


482731 


143 


304 


483587 


483730 


483872 


484015 


484157 


143 


305 


48501 I 


485153 


485295 


485437 


485579 


142 


300 


486430 


486572 


486714 


486855 


486997 


142 


^ 


487845 


487986 


488127 


488269 


488410 


141 


489255 


489396 


489537 


489677 


489818 


141 


309 


490661 


490801 


490941 


491081 


491222 


140 


310 


• 492062 


492201 


492341 


492481 


492621 


139 


3" 


493458 ' 


493597 


493737 


493876 


494015 


139 


312 


494850 


494989 


495128 


495267 


495406 


139 


313 


496238 


496376 


496515 


496653 


496791 


'3! 


314 


497621 


497759 


497897 


498035 


498173 


138 


^'5 

310 


498999 


499137 


499275 


499412 


499550 


138 


500374 


5°°5" 


500648 


500785 


500922 


137 


317 


501744 


501880 


502017 


502154 


502291 


137 


318 


503109 


503246 


503382 


503518 


503655 


136 


319 


504471 


504607 


504743 


504878 


505014 


136 


320 


505828 


505964 


506099 


506234 


506370 


136 


321 


507181 


507316 


507451 


507586 


507721 


135 


332 


508530 


508664 


508799 


508934 


509068 


135 


323 


509874 


510009 


510143 


510277 


510411 


134 


324 


511215 


51 1349 


51 1482 


511616 


511750 


134 


^ 


512551 


512684 


512818 


512951 


513084 


133 


• 326 


513883 


514016 


514149 


514282 


514415 


133 


327 


515211 


515344 


515476 


515609 


515741 


133 


328 


516535 


516668 


516800 


516932 


517064 


132 


329 


517855 


517987 


518119 


518251 


518382 


132 


330 


519171 


519303 


519434 


519566 


519697 


131 


331 


520484 


520615 


520745 


520876 


521007 


131 


332 


521792 


521922 


522053 


522183 


522314 


131 


333 


523096 


523226 


523356 


523486 


523616 


130 


334 


524396 


524526 


524656 


524785 


524915 


130 


135 


525693 


525822 


525951 


'526081 


526210 


129 


330 


526985 


527114 


527243 


527372 


527501 


129 


337 


528274 


528402 


528531 


528660 


528788 


129 


338 


529559 


529687 


529815 


529943 


530072 


128 


339 


530840 


530968 


531096 


531223 


531351 


128 


340 


5321 17 


532245 


532372 


532500 


532627 


128 


341 


533391 


533518 


533645 


533772 


533899 


127 


342 


534661 


534787 


534914 


535041 


535167 


127 


343 


535927 


536053 


536180 


536306 


536432 


126 


344 


537189 


537315 


537441 


537567 


537693 


126 


340 


538448 


538574 


538699 


538825 


538951 


126 


539703 


539829 


539954 


540079 


540204 


125 


^l 


540955 


541080 


541205 


541330 


541454 


125 


348 


542203 


542327 


542452 


542576 


542701 


125 


349 


543447 


543571 


543696 


543820 


543944 


124 



(239) 



LOGABITHMS 



H;' 



Log. 544. No. 350. 



No. 





1 


2 


3 


4 


Diff. 


350 


544068 


544192 


544316 


544440 


544564 


124 


351 


545307 


545431 


545555 


545678 


545802 


124 


352 


546543 


546666 


546789 


546913 


547036 


123 


353 


547775 


547898 


548021 


548144 


548267 


123 


354 


549003 


549126 


549249 


549371 


549494 


123 


355 


550228 


550351 


550473 


550595 


550717 


122 


356 


551450 


551572 


551694 


551816 


551938 


122 


357 


552668 


552790 


55291 I 


553033 


553155 


121 


358 


553883 


554004 


554126 


554247 


554368 


121 


359 


555094 


555215 


555336 


555457 


555578 


121 


^ 


556303 


556423 


556544 


556664 


556785 • 


120 


361 


557507 


557627 


557748 


557868 


557988 


120 


362 


558709 


558829 


558948 


559068 


559188 


120 


363 


559907 


560026 


560146 


560265 


560385 


119 


364 


561 lOI 


561221 


561340 


561459 


561578 


119 


365 


562293 


562412 


562531 


562650 


562769 


119 


366 


563481 


563600 


563718 


563837 


563955 


119 


367 


564666 


564784 


564903 


565021 


565139 


118 


368 


565848 


565966 


566084 


566202 


566320 


118 


369 


567026 


567144 


567262 


567379 


567497 


118 


370 


568202 


568319 


568436 


568554 


568671 


117 


371 


569374 


569491 


569608 


569725 


569842 


117 


372 


570543 


570660 


570776 


570893 


571010 


117 


373 


571709 


571825 


571942 


572058 


572174 


116 


374 


572872 


572988 


573104 


573220 


573336 


116 


375 


574031 


574147 


574263 


574379 


574494 


116 


376 


575188 


575303 


575419 


575534 


575650 


115 


377 


576341 


576457 


576572 


576687 


576802 


115 


378 


577492 


577607 


577722 


577836 


577951 


"5 


379 


578639 


578754 


578868 


578983 


579097 


114 


380 


579784 


579898 


580012 


580126 


580241 


114 


381 


580925 


581039 


581 153 


581267 


581381 


114 


382 


582063 


582177 


582291 


582404 


582518 


114 


383 


583199 


583312 


583426 


583539 


583652 


"3 


384 


584331 


584444 


584557 


584670 


584783 


113 


355 


585461 


585574 


585686 


585799 


585912 


"3 


386 


586587 


586700 


586812 


586925 


587037 


112 


387 


58771 I 


587823 


587935 


588047 


588160 


112 


388 


588832 


588944 


589056 


589167 


589279 


112 


389 


589950 


590061 


590173 


590284 


590396 


112 


390 


591065 


591 176 


591287 


591399 


591510 


III 


391 


592177 


592288 


592399 


592510 


592621 


III 


392 


593286 


593397 


593508 


593618 


593729 


III 


393 


594393 


594503 


594614 


594724 


594834 


no 


394 


595496 


595606 


595717 


595827 


595937 


no 


395 


596597 


596707 


596817 


596927 


597037 


no 


396 


597695 


597805 


597914 


598024 


598134 


no 


397 


598791 


598900 


599009 


599119 


599228 


109 


3^ 


599883 


599992 


600101 


600210 


600319 


109 


399 


600973 


601082 


601191 


601299 


601408 


109 



For explanation see pp. 207-215 



(240) 



OP NUMBERS 



Log. 601. No. 399. 



No. 


5 


6 


7 


8 


9 


Dlfif. 




350 


544688 


544812 


544936 


545060 


545183 


124 




351 


545925 


546049 


546172 


546296 


546419 


124 




352 


547159 


547282 


547405 


547529 


547652 


123 




353 


548389 


548512 


548635 i 


548758 


548881 


123 




354 , 


549616 


549739 


549861 


549984 


550106 


123 




356 


550840 


550962 


551084 


551206 


551328 


122 




552060 


552181 


552303 


552425 


552547 i 


122 




ii 


553276 


553398 


553519 


553640 


553762 


121 




554489 


554610 


554731 


554852 


554973 


121 




359 


555699 


555820 


555940 


556061 


556182 ^ 


121 




360 


556905 


557026 


557146 


557267 


557387 


120 




361 


558108 


558228 


558349 


558469 


558589 


120 




362 


559308 


559428 


559548 


559667 


559787 


120 




363 


560504 


560624 


560743 


560863 


560982 


119 




3^ 


561698 V 


561817 


561936 


562055 


562174 1 


119 




365 


562887 


563006 


563125 


563244 


563362 : 


119 




366 


564074 i 


564192 


56431 1 


564429 


564548 


119 




367 


565257 


565376 


565494 


565612 


565730 


118 




368 


566437 


56655s 


566673 


566791 


566909 


118 




369 


567614 


567732 


567849 


567967 


568084 


118 




370 


568788 


568905 


569023 


569140 


569257 


117 




371 


569959 


570076 


570193 


570309 


570426 


117 




372 


57II26 


571243 


571359 


571476 


571592. 


117 




373 


. 572291 


572407 


572523 


572639 


572755 


116 




374 


573452 


573568 


573684 


573800 


573915 


116 




375 


574610 


574726 


574841 


574957 


575072 


116 . 




376 


575765 


575880 


575996 


5761 II 


576226 


115 






576917 


577032 


577147 


577262 


577377 


115 




578066 


578181 


578295 


578410 


578525 


"5 




379 


579212 


579326 


579441 


579555 


579669 


114 




380 


580355 


580469 


580583 


580697 


58081 I 


114 




381 


581495 


581608 


581722 


581836 


581950 


114 




382 


582631 


582745 


582858 


582972 


583085 


114 




383 


583765 


583879 


583992 


584105 


584218 


113 




384 


584896 


585009 


585122 


585235 


585348 


113 




385 


586024 


586137 


586250 


586362 


586475 


113 




386 


587149 


587262 


587374 


587486 


587599 


112 




iH 


588272 


588384 


588496 


; 588608 


588720 


112 




589391 


589503 


589615 


589726 


589838 


112 




389 


590507 


590619 


590730 


590842 


590953 


112 




390 


59I62I 


591732 


591843 


591955 


592066 


III 




391 


592732 


592843 


592954 


593064 


593175 


III 




392 


593840 


593950 


594061 


5941 7 I 


594282 


III 




393 


594945 


595055 


595165 


595276 


595386 


no 




394 


596047 


596157 


596267 


596377 


596487 


no 




395 


597146 


597256 


597366 


597476 


597586 


no 




396 


598243 


598353 


598462 


598572 


598681 


no 






599337 


599446 


599556 


599665 


599774 


109 




398 


600428 


600537 


600646 


600755 


! 600864 


109 




399 


601517 


601625 


601734 

1 


601843 


j 6OI95I 


109 





1! 



(.a4i> 



LOGAKITHMS 



Log. 602. No. 400. 



No. 



400 
401 
402 
403 
404 

406 

409 

410 
411 
412 

414 

410 

418 
419 

420 
421 
432 

423 
424 

420 
427 
428 
429 

430 
431 
432 
433 
434 

435 
436 

437 
438 
439 

440 
441 

AA9. 

443 
444 

445 
446 

447 
448 

449 



602060 

603144 
604226 

605305 
606381 

607455 
608526 

609594 
610660 
611723 

612784 
613842 
614897 

615950 
617000 

618048 
619093 
620136 
621 176 
622214 

623249 
624282 
625312 
626340 
627366 

628389 
629410 
630428 
631444 
632457 
633468 

634477 
635484 
636488 

637490 

638489 
639486 
640481 
641474 
642465 

643453 
644439 
645422 

646404 

647383 

648360 

649335 
650308 
651278 
652246 



1 



602169 
603253 
604334 
605413 
606489 

607562 
608633 
609701 
610767 
61 1829 

612890 

613947 
615003 

616055 

617105 

618153 
619198 
620240 
621280 
622318 

623353 
624385 

625415 
626443 
627468 

628491 
629512 
630530 

631545 
632559 

633569 
634578 
635584 
636588 

637590 

638589 
639586 
640581 

641573 
642563 

643551 
644537 
645521 

646502 
647481 

648458 

649432 
650405 

651375 
652343 



602277 
603361 
604442 
605521 
606596 

607669 
608740 
609808 
610873 
61 1936 

612996 

614053 
615108 

616160 

617210 

618257 
619302 
620344 
621384 
622421 

623456 
624488 
625518 
626546 
627571 

628593 
629613 
630631 
631647 
632660 

633670 

634679 
635685 

636688 

637690 

638689 
639686 
640680 
641672 
642662 

643650 
644636 
645619 
646600 

647579 

648555 
649530 
650502 
651472 
652440 



602386 
603469 
604550 
605628 
606704 

607777 
608847 
609914 
610979 
612042 

613102 
614159 
615213 
616265 

617315 

618362 
619406 
620448 
621488 
622525 

623559 
624591 

625621 

626648 

627673 

628695 
629715 

630733 
631748 

632761 

633771 
634779 
635785 
636789 

637790 

638789 

639785 
640779 

641771 

642761 

643749 
644734 
645717 
646698 

647676 

648653 
649627 

650599 
651569 
652536 



602494 

603577 
604658 

605736 
606811 

607884 
608954 
610021 
611086 
612148 

613207 
614264 

615319 
616370 

617420 

618466 
619511 
620552 
621592 
622628 

623663 
624695 
625724 
626751 
627775 

628797 
629817 
630835 
631849 
632862 

633872 
634880 
635886 
636889 
637890 

638888 

639885 
640879 
641871 
642860 

643847 
644832 

645815 
646796 

647774 
648750 

649724 
650696 
651666 
652633 



Diflf. 



For eif^lanation see pp. 207-215 



108 
108 
108 
108 
107 

107 
107 
107 
106 
106 

106 
106 

105 
105 

105 

los 
104 

104 

104 

104 

103 
103 
103 
103 
102 

102 
102 
102 
101 
101 

101 
101 
100 
100 
100 

100 
100 

99 
99 
99 

98 

98 
98 
98 
98 

97 
97 
97 
97 
97 



(242) 



OF NUMBERS 






. 










Log. 


653. 


No. 


449. 


No. 


5 


6 


7 


8 


9 


Diff. 


400 


602603 


602711 


602819 


602928 


603036 


108 


401 1 


603686 


603794 


603902 


604010 


604118 


108 


402 


604766 


604874 


604982 


605089 


605197 


108 


403 


605844 


605951 


606059 


606166 


606274 


108 


404 


606919 


607026 


607133 


607241 


607348 


107 


405 
400 


607991 


608098 


608205 


608312 


608419 


107 


609061 


609167 


609274 


609381 


609488 


107 


407 


610128 


610234 


610341 


610447 


610554 


107 


408 


6x1 192 


611 298 


611405 


611511 


611617 


106 


409 


612254 


612360 


612466 


612572 


612678 


106 


410 


613313 


613419 


613525 


613630 


613736 


106 


411 


614370 


614475 


614581 


614686 


614792 


106 


412 


615424 


615529 


615634 


615740 


615845 


105 


413 


616476 


616581 


616686 


616790 


616895 


105 


414 


617525 


617629 


617734 


617839 


617943 


105 


4x6 


618571 


618676 


618780 


618884 


618989 


105 


619615 


619719 


619824 


619928 


620032 


104 


417 


620656 


620760 


620864 


620968 


621072 


104 


418 


621695 


621799 


621903 


622007 


622 no 


104 


419 


622732 


622835 


622939 


623042 


623146 


104 


420 


623766 


623869 


623973 


624076 


624179 


103 


421 


624798 


624901 


625004 


625107 


625210 


103 


422 


625827 


625929 


626032 


626135 


626238 


103 


423. 


626853 


626956 


627058 


627161 


627263 


103 


424 


627878 


627980 


628082 


628185 


628287 


102 


425 


628900 


629002 


629104 


629206 


629308 


102 


426 


629919 


630021 


630123 


630224 


630326 


102 


427 


630936 


631038 


631 139 


631241 


631342 


102 


428 


631951. 


632052 


632153 


632255 


632356 


lOI 


429 


632963 


633064 


633165 


633266 


633367 


101 


430 


633973 


634074 


634175 


634276 


634376 


101 


431 


634981 


635081 


635182 


635283 


635383 


lOI 


432 


. 635986 


636087 


636187 


636287 


636388 


100 


433 


636989 


637089 


637189 


637290 


637390 


100 


434 


637990 


638090 


638190 - 


638290 


638389 


100 


435 


638988 


639088 


639188 


639287 


639387 


100 


436 


639984 


640084 


640183 


640283 


640382 


100 


437 


640978 


641077 


641 177 


641276 


641375 


99 


438 


641970 


642069 


642168 


642267 


642366 


99 


439 


642959 


643058 


643156 


643255 


643354 


99 


440 


643946 


644044 


644143 


644242 


644340 


98 


441 


644931 


645029 


645127 


645226 


645324 


98 


442 


645913 


646011 


6461 10 


646208 


646306 


98 


443 


646894 


646992 


647089 


647187 


647285 


98 


444 


647872 


647969 


648067 


648165 


648262 


98 


t^ 


648848 


648945 


649043 


649140 


649237 


97 


649821 


649919 


650016 


650113 


650210 


97 


447 


650793 


650890 


. 650987 


651084 


65II81 


97 


448 


651762 


651859 


651956 


652053 


652150 


97 


449 


652730 


652826 


652923 


653019 


6531 16 


97 



(243) 



LOGARITHMS 



'■ 



r, 



Log. 653. No. 450. 



No. 
450 





1 


2 


3 


4 


Difl. 


653213 


653309 


653405 


653502 


653598 


96 


451 


654177 


654273 


654369 


654465 


654562 


96 


452 


655138 


655235 


655331 


655427 


655523 


96 


453 


656098 


656194 


656290 


656386 


656482 


96 


454 


657056 


657152 


657247 


657343 


657438 


96 


455 


65801 I 


658107 


658202 


658298 


658393 


95 


456 


658965 


659060 


659155 


659250 


659346 


95 


457 


659916 


66001 1 


660106 


660201 


660296 


95 


458 


660865 


660960 


661055 


661 1 50 


661245 


95 


459 


66I8I3 


661907 


662002 


662096 


662191 


94 


460 


662758 


662852 


662947 


663041 


663135 


94 


461 


663701 


663795 


663889 


663983 


664078 


94 


402 


664642 


664736 


664830 


664924 


665018 


94 


463 


665581 


665675 


665769 


665862 


665956 


94 


464 


666518 


666612 


666705 


666799 


666892 


94 


^ 


667453 


667546 


667640 


667733 


667826 


93 


668386 


668479 


668572 


668665 


668759 


93 


467 


669317 


669410 


669503 


669596 


669689 


93 


468 


670246 


670339 


670431 


670524 


670617 


93 


469 


67II73 


671265 


671358 


671451 


671543 


93 


470 


672098 


672190 


672283 


672375 


672467 


92 


471 


673021 


673II3 


673205 


673297 


673390 


92 


472 


673942 


674034 


674126 


674218 


674310 


92 


473 


674861 


674953 


675045 


675137 


675228 


92 


474 


675778 


675870 


675962 


676053 


676145 


92 


476 


676694 


676785 


676876 


676968 


677059 


91 


677697 


677698 


677789 


677881 


677972 


91 


A77 


678518 


678609 


678700 


678791 


678882 


91 


478 


679428 


679519 


679610 


679700 


679791 


91 


479 


680336 


680426 


680517 


680607 


680698 


91 


480 


68I24I 


681332 


681422 


681513 


681603 


90 


481 


682145 


682235 


682326 


682416 


682506 


90 


482 


683047 


683137 


683227 


683317 


683407 


90 


483 


683947 


684037 


684127 


684217 


684307 


90 


484 


684845 


684935 


685025 


6851 14 


685204 


90 


^ 


685742 


685831 


685921 


686010 


686100 


90 


686636 


686726 


686815 


686904 


686994 


89 


487 


687529 


687618 


687707 


687796 


687886 


89 


488 


688420 


688509 


688598 


688687 


688776 


89 


489 


689309 


689398 


689486 


689575 


689664 


89 


490 


690196 


690285 


690373 


690462 


690550 


89 


491 


69I08I 


691170 


691258 


691347 


691435 


88 


492 


691965 


692053 


692142 


692230 


692318 


88 


493 


692847 


692935 


693023 


6931 I I 


693199 


88 


494 


693727 


693815 


693903 


693991 


694078 


88 


495 


694605 


694693 


694781 


694868 


694956 


88 


496 


695482 


695569 


695657 


695744 


695832 


87 


497 


696356 


696444 


696531 . 


696618 


696706 


87 


498 


697229 


697317 


697404 


697491 


697578 


87 


499 


698IOI 


698188 


698275 


698362 


698449 


87 



For explanation see pp. 207-215 



(244) 



OF NUMBERS 



Log. 698. NO. 499. 



No. 



450 
451 
452 

453 
454 

455 
456 



459 

460 
461 
462 

463 

464 

465 
466 

467 
468 
469 

470 

471 
472 

473 
474 

476 

477 
478 

479 

480 
481 
482 

483 
484 



487 
488 

489 

490 
491 
492 

493 
494 

495 
496 

497 
498 

499 



653695 
654658 

055619 
656577 
657534 

658488 

659441 
660391 

661339 
662286 

663230 
664172 
6651 12 
666050 
666986 

667920 
668852 
669782 
670710 
671636 

672560 
673482 
674402 
675320 
676236 

677151 
678063 

678973 
679882 

680789 

681693 
682596 

683497 
684396 

685294 

686189 
687083 

687975 
688865 

689753 

690639 
691524 
692406 

693287 
694166 

695044 
695919 

696793 
697665 

698535 



6 



653791 
654754 

655715 
656673 
657629 

658584 
659536 
660486 

661434 
662380 

663324 
664266 
665206 
666143 
667079 

668013 
668945 

669875 
670802 

671728 

672652 

673574 
674494 
675412 
676328 

677242 

678154 
679064 

679973 
680879 

681784 
682686 
683587 
684486 

685383 

686279 
687172 

6S8064 
688953 
689841 

690728 
691612 
692494 

693375 
694254 

695131 

696007 

696880 
697752 
698622 



8 



9 



653888 
654850 
655810 
656769 
657725 

658679 
659631 
660581 
661529 
662475 

663418 
664360 
665299 
666237 

667173 

668106 
669038 
669967 
670895 
671821 

672744 
673666 
674586 

675503 
676419 

677333 
678245 

679155 
680063 

680970 

681874 
682777 
683677 
684576 

685473 

686368 
687261 

688153 
689042 
689930 

690816 
691700 
6^2583 

693463 
694342 

695219 

696094 
696968 

697839 
698709 



653984 
654946 
655906 
656864 
657820 

658774 
659726 
660676 
661623 
662569 

663512 
664454 

665393 
666331 
667266 . 

668199 
6691 31 
670066 
670988 

671913 

672836 

673758 
674677 

675595 
67651 I 

677424 
678336 
679246 
680154 
681060 

681964 
682867 
683767 
684666 

685563 

686458 
687351 
688242 
689131 
690019 

690905 
691789 
692671 

693551 
694430 

695307 
696182 

697055 
697926 

698796 



654080 
655042 
656002 
656960 
657916 

658870 
659821 
660771 
661718 
662663 

663607 
664548 
665487 
666424 
667360 

668293 
669224 

670153 
671080 

672005 

672929 

673850 
674769 

675687 
676602 

677516 
678427 

679337 
680245 

681 151 

682055 
682957 
683857 
684756 
685652 

686547 
687440 
688331 
689220 
690107 

690993 
691877 

692759 
693639 
694517 

695394 
696269 
697142 
698014 
698883 



Diff. 



96 
96 
96 
96 
96 

95 
95 
95 
95 
94 

94 
94 
94 
94 
94 

93 
93 
93 
93 
92 

92 
92 

92 
92 
92 

91 
91 
91 
91 
91 

90 
90 
90 
90 
90 

90 

89 
89 
89 
89 

89 
88 

88 

88 

88 

88 

87 
87 
87 
87 



ill 
<?] 



(245) 



Log. 698. No. 500. 



LOGARITHMS 



No. 



SOI 
502 
503 
504 

509 
510 

5" 
512 

513 
514 



517 
518 
S19 

520 

521 
522 

523 

524 



529 

530 
531 
532 

533 
534 



537 
538 
539 

540 

541 
542 

543 
544 

545 
546 

548 
549 



698970 
699838 
700704 
701568 
702431 

703291 
7041 5 I 
705008 
705864 
706718 

707570 
708421 
709270 
710117 
710963 

71 1807 
712650 

713491 
714330 
715167 

716003 
716838 

717671 
718502 

719331 

720159 
720986 
721811 
722634 
723456 

724276 
725095 
725912 
726727 

727541 

728354 
729165 
729974 
730782 
731589 

732394 

733197 

733999 
734800 

735599 

736397 
737193 
7379^7 
7387S1 

739572 i 



699057 

699924 
700790 

701654 

702517 

703377 
704236 
705094 

705949 
706803 

707655 
708506 

709355 
710202 
71 1048 

71 1892 
712734 

•713575 
714414 

715251 

716087 
716921 

717754 
718585 

719414 

720242 
721068 
721893 
722716 
723538 

724358 
725176 

725993 
726809 

727623 

728435 
729246 
730055 
730863 
731669 

732474 
733278 

734079 
734880 

735679 

736476 
737272 
738067 
738860 
739651 



699144 
70001 I 
700877 
701741 
. 702603 

703463 
704322 

705179 
706035 

706888 

707740 
708591 

709440 
710287 
711132 

71 1976 
712818 

713659 
714497 
715335 

716170 
717004 

717837 
718668 

719497 

720325 
721151 

721975 
722798 
723620 

724440 
725258 
726075 
726890 
727704 

728516 
729327 
730136 

730944 
731750 

732555 
733358 
734 »6o 
734960 
735759 

736556 
737352 
738146 
738939 
739731 



699231 
700098 
700963 
701827 
702689 

703549 
704408 

705265 

706120 

706974 

707826 
708676 

709524 
710371 
711217 

712060 
712902 
713742 
714581 
715418 

716254 
717088 
717920 

718751 
719580 

720407 
721233 
722058 
722881 
723702 

724522 
725340 
726156 
726972 
727785 

728597 
729408 
730217 
731024 
731830 

732635 
733438 
734240 
735040 
735838 

736635 

737431 
7382^5 

739018 

739810 



699317 
700184 
701050 
701913 
702775 

703635 
704494 
705350 
706206 
707059 

7079 I I 
708761 
709609 
710456 
711301 

712144 
712986 
713826 
714665 
715502 

716337 

717171 
718003 
718834 
719663 

720490 
721316 
722140 
722963 
723784 

724604 
725422 
726238 
727053 
727866 

728678 

729489 
730298 
731 105 

731911 

732715 
733518 
734320 
735120 
735918 

736715 
7375" 
738305 

739097 I 
739889 



Dlfl. 



87 

87 
86 
86 
86 

86 
86 
86 

85 
85 

85 
85 
85 
85 
84 

84 
84 
84 
84 
84 

83 

83 
83 
83 
83 

83 

83 
82 

82 

82 

82 
82 
82 
81 
81 

81 
81 
81 
81 
81 

80 
80 
80 
80 
80 

80 

79 
79 
79 
79 



Jj^or ezplaDation see pp. 207-215 



(246) 



OF NUMBERS 
















Log. 


740. 


No. 


549. 


No. 


5 


6 


7 


8 

699664 


9 


Diff. 


500 


699404 


699491 


699578 


699751 


87 


501 


700271 


700358 


700444 


700531 


700617 


87 


502 


701 1 36 


701222 


701309 


701395 


701482 


86 


503 


701999 


702086 


702172 


702258 


702344 


86 


504 


702861 


702947 


703033 


7031 19 


703205 


86 


50g 


703721 


703807 


703893 


703979 


704065 


86 


704579 


704665 


704751 


704837 


704922 . 


86 


^ 


705436 


705522 


705607 


705693 


705778 


86 ■ 


706291 


706376 


706462 


706547 


706632 


85 


509 


707144 


707229 


707315 


707400 


707485 


85 


510 


707996 


708081 


708166 


708251 


708336 


85 


5" 


708846 


708931 


709015 


709100 


709185 


85 


512 


709694 


709779 


709863 


709948 


710033 


85 


513 


710540 


710625 


710710 


710794 


710879 


85 


514 


711385 


7 I 1470 


711554 


71 1639 


711723 


84 


5'§ 


712229 


712313 


712397 


712481 


712566 


84 


516 


713070 


713154 


713238 


713323 


713407 


84 


518 


713910 


713994 


714078 


714162 


714246 


84 


714749 


714833 


714916 


715000 


715084 


84 


5x9 


715586 


715669 


715753 


715836 


715920 


84 


520 


716421 


716504 


716588 


716671 


716754 


83 


521 


717254 


717338 


717421 


717504 


717587 


83 


522 


718086 


718169 


718253 


718336 


718419 


83 


523 


718917 


719000 


719083 


719165 


719248 


83 


524 


719745 


719828 


719911 


719994 


720077 


83 


525 


720573 


720655 


720738 


720821 


720903 


83 


721398 


72 148 I 


721563 


721646 


721728 


83 


527 


722222 


722305 


722387 


722469 


722552 


82 


528 


723045 


723127 


723209 


723291 


723374 


82 


529 


723866 


723948 


724030 


7241 12 


724194 


82 


530 


724685 


724767 


724849 


724931 


725013 


82 


531 


725503 


725585 


725667 


725748 


725830 


82 


532 


1 726320 


726401 


726483 


726564 


726646 


82 


533 


! 727134 


727216 


727297 


727379 


727460 


81 


534 


! 727948 


728029 


728110 


728191 


728273 


81 


S^S 


728759 


728841 


728922 


729003 


729084 


81 


bJ^ 


729570 


729651 


729732 


729813 


729893 


81 


537 


730378 


730459 


730540 


730621 


730702 


81 


538 


.731186 


731266 


731347 


731428 


731508 


81 


539 


731991 


732072 


732152 


732233 


732313 


81 


540 


732796 


732876 


732956 


733037 


733117 


80 


541 


733598 


733679 


733759 


733839 


733919 


80 


542 


734400 


734480 


734560 


734640 


734720 


80 


543 


735200 


735279 


735359 


735439 


735519 


80 


544 


735998 


736078 


736157 


736237 


736317 


80 


545 


736795 


736874 


736954 


737034 


737113 


80 


546 


737590 


737670 


737749 


737829 


737908 


79 


^l 


738384 


738463 


738543 


738622 


738701 


79 


548 


739177 


739256 


739335 


739414 


739493 


79 


549 


739968 


740047 


740126 


740205 

1 


740284 


79 



(247) 



a 



! 1 



3! • 






il 



LOGARITHMS 



Log. 740. No. 550. 



For explanation gee pp. 207-215 



(248) 



No. 





1 


2 


3 


4 

740678 


Diff. 


550 


740363 


740442 


740521 


740600 


79 


551 


74II52 


741230 


741309 


741388 


741467 


79 


552 


741939 


742018 


742096 


742175 


742254 


79 


553 


742725 


742804 


742882 


742961 


743039 


78 


554 


743510 


743588 


743667 


743745 


743823 


78 


m 


744293 


744371 


744449 


744528 


744606 


78 


745075 


745153 


745231 


745309 


745387 


78 


557 


745855 


745933 


74601 1 


746089 


746167 


78 


558 


746634 


746712 


746790 


746868 


746945 


78 


559 


747412 


747489 


747567 


747645 


747722 


78 


560 


748188 


748266 


748343 


748421 


748498 


77 


561 


748963 


749040 


7491 18 


749195 


749272 


77 


562 


749736 


749814 


749891 


749968 


750045 


77 


563 


750508 


750586 


750663 


750740 


750817 


77 


564 


751279 


751356 


751433 


751510 


751587 


77 


56^ 


752048 


752125 


752202 


752279 


752356 


77 


752816 


752893 


752970 


753047 


753123 


77 


557 


753583 


753660 


753736 


753813 


753889 


77 


568 


754348 


754425 


754501 


754578 


754654 


76 


569 


755II2 


755189 


755265 


755341 


755417 


76 


570 


755875 


755951 


756027 


756103 


756180 


76 


571 


756636 


756712 


756788 


756864 


756940 


76 


572 


757396 


757472 


757548 


757624 


757700 


76 


573 


758155 


758230 


758306 


758382 


758458 


76 


574 


758912 


758988 


759063 


759139 


759214 


76 


575 


759668 


759743 


759819 


759894 


759970 


75 


576 


760422 


760498 


760573 


760649 


.760724 


75 


577 


761 176 


761251 


761326 


761402 


761477 


75 


578 


761928 


762003 


762078 


762153 


762228 


75 


579 


762679 


762754 


762829 


762904 


762978 


75 


580 


763428 


763503 


763578 


763653 


763727 


75 


5!' 


764176 


764251 


764326 


764400 


764475 


75 


5!^ 


764923 


764998 


765072 


765147 


765221 


75 


5!3 


765669 


765743 


765818 


765892 


765966 


74 


584 


766413 


766487 


766562 


766636 


766710 


74 


5^5 


767156 


767230 


767304 


767379 


• 767453 


74 


586 


767898 


767972 


768046 


768120 


768194 


74 


5!7 


768638 


768712 


768786 


768860 


768934 


74 


588 


769377 


769451 


769525 


769599 


769673 


74 


589 


7701 15 


770189 


770263 


770336 


770410 


74 


590 


770852 


770926 


770999 


771073 


771 146 


74 


591 


771587 


771661 


771734 


771808 


771881 


73 


592 


772322 


772395 


772468 


772542 


772615 


73 


593 


773055 


773128 


773201 


773274 


773348 


73 


594 


773786 


773860 


773933 


774006 


774079 


73 


595 


774517 


774590 


774663 


774736 


774809 


73 


5S>o 


775246 


775319 


775392 


775465 


775538 


73 


597 


775974 


776047 


776120 


776193 


776265 


73 


598 


776701 


776774 


776846 


776919 


776992 


73 


599 


777427 


777499 


777572 


777644 


777717 


72 



OF NUMBERS 



Log. 778. No. 599. 



No. 


5 


6 


7 

740915 


8 


9 


Diff. 


550 


740757 


740836 


740994 


741073 


79 


551 


741546 


741624 


741703 


741782 


741860 


79 


552 


742332 


74241 I 


742489 


742568 


742647 


79 


553 


7431 18 


743196 


743275 


743353 


743431 


78 


554 


743902 


743980 


744058 


744136 


744215 


78 


555 


744684 


744762 


744840 


744919 


744997 


78 


556 


745465 


745543 


745621 


745699 


745777 


78 


557 


746245 


746323 


746401 


746479 


746556 


78 


1 558 


747023 


747101 


747179 


747256 


747334 


78 


559 


747800 


747878 


747955 


748033 


7481 10 


78 


560 


748576 


748653 


748731 


748808 


748885 


77 


561 


749350 


749427 


749504 


749582 


749659 


77 


562 


750123 


750200 


750277 


750354 


750431 


77 


563 


750894 


750971 


751048 


751125 


751202 


77 


564 


751664 


751741 


751818 


751895 


751972 


77 


551 


752433 


752509 


752586 


752663 


752740 


77 


566 


753200 


753277 


753353 


753430 


753506 


77 


567 


753966 


754042 


7541 19 


754195 


754272 


77 


568 


754730 


754807 


754883 


754960 


755036 


76 


569 


755494 


755570 


755646 


755722 


755799 


76 


570 


756256 


756332 


756408 


756484 


756560 


76 


571 


757016 


757092 


757168 


757244 


757320 


76 


572 


757775 


757851 


757927 


758003 


758079 


76 


573 


758533 


758609 


758685 


758761 


758836 


76 


574 


759290 


759366 


759441 


759517 


759592 


76 


575 


760045 


7601 2 I 


760196 


760272 


760347 


75 


576 


760799 


760875 


760950 


761025 


761101 


75 


577 


761552 


761627 


761702 


761778 


761853 


75 


578 


762303 


762378 


762453 


762529 


762604 


75 


579 


763053 


763128 


763203 


763278 


763353 


75 


580 


763802 


763877 


763952 


764027 


764101 


75 


581 


764550 


764624 


764699 


764774 


764848 


75 


582 


765296 


765370 


765445 


765520 


765594 


75 


583 


766041 


7661 1 5 


766190 


766264 


766338 


74 


584 


766785 


766859 


766933 


767007 


767082 


74 


585 


767527 


767601 


767675 


767749 


767823 


74 


586 


768268 


768342 


768416 


768490 


768564 


74 


587 


769008 


769082 


769156 


769230 


769303 


74 


588 


769746 


769820 


769894 


769968 


770042 


74 


589 


770484 


770557 


770631 


770705 


770778 


74 


590 


771220 


771293 


771367 


771440 


771514 


74 


591 


771955 


772028 


772102 


772175 


772248 


73 


592 


772688 


772762 


772835 


772908 


772981 


73 


593 


773421 


773494 


773567 


773640 


773713 


73 


594 


774152 


774225 


774298 


774371 


774444 


73 


595 


774882 


774955 


775028 


775100 


775173 


73 




775610 


775683 


775756 


775829 


775902 


73 


597 


776338 


77641 1 


776483 


776556 


776629 


73 


598 


777064 


777137 


777209 


777282 


777354 


73 


599 


777789 


777862 


777934 


778006 


778079 


72 



'■\\ 



(249) 



LOGARITHMS 



Log. 778. No. 600. 



OF NUMBERS 



Log. 812. No. 649. 



i 



'M 



No. 



600 
6oi 

602 

603 
604 

605 

606 

607 

608 

609 

610 
6x1 
612 

613 
614 

615 
616 
617 
618 
619 

620 
621 
622 
623 
624 

626 
627 
628 
629 

630 
631 
632 

633 
634 

635 
636 

637 
638 

639 

640 
641 
642 

643 
644 

645 
646 

647 
648 
649 







778I5I 
778874 

779596 
780317 
781037 

781755 
782473 
783189 

783904 
784617 

785330 

786041 

786751 

787460 

788168 

788875 
789581 

790285 
790988 
79I69I 

792392 
793092 

793790 
794488 

795185 

795880 
796574 

797268 

797960 
798651 

799341 

800029 
800717 
801404 
802089 

802774 

803457 
804139 

804821 

805501 

806180 
806858 

807535 
80821 1 

808886 

809560 

810233 

810904 

81 1575 

812245 



778224 

778947 
779669 
780389 

78II09 

781827 
782544 

783260 

783975 
784689 

785401 

7861 12 
786822 

787531 
788239 

788946 
789651 

790356 
791059 

79176I 

792462 
793162 
793860 
794558 
795254 

795949 
796644 

797337 
798029 

798720 

799409 
800098 
800786 
801472 
802158 

802842 
803525 
804208 
804889 
805569 

806248 
806926 
807603 
808279 
808953 

809627 
810300 
810971 
81 1642 
812312 



For explanation see pp. 207-215 



778296 

779019 
779741 

780461 

781181 

781899 
782616 

783332 
784046 
784760 

785472 
786183 
786893 
787602 
788310 

789016 
• 789722 
790426 
791 129 
791831 

792532 
793231 
793930 
794627 

795324 

796019 
796713 
797406 
798098 
798789 

799478 
800167 
800854 
801541 
802226 

802910 

803594 
804276 
804957 
805637 

806316 
806994 
807670 
808346 
809021 

809694 
810367 
81 1039 
811709 
812379 



778368 
779091 

779813 
780533 

781253 

781971 

782688 

783403 
7841 18 

784831. 

785543 
786254 

786964 

787673 
788381 

789087 
789792 

790496 
791199 
791901 

792602 

793301 
794000 

794697 
795393 

796088. 
796782 

797475 
798167 

798858 

799547 
800236 
800923 
801609 
802295 

802979 
803662 
804344 
805025 
805705 

806384 
807061 
807738 
808414 
809088 

809762 
810434 
811106 
81 1776 
812445 



778441 
779^63 
779885 
780605 
781324 

782042 
782759 

783475 
784189 

784902 

785615 
786325 

787035 
787744 
788451 

789157 
789863 

790567 
791269 
791971 

792672 

793371 
794070 
794767 

795463 

796158 
796852 

797545 
798236 
798927 

799616 
800305 
800992 
801678 
802363 

803047 
803730 
804412 
805093 

805773 

806451 
807129 
807806 
808481 
809156 

809829 
810501 
811173 
81 1843 
812512 



Diff. 



72 
72 
72 
72 

72 

72 
72 
71 
71 
71 

71 
71 
71 
71 
71 

71 
70 
70 
70 
70 

70 
70 
70 
70 
70 

69 
69 
69 
69 
69 

69 

69 
69 
69 
69 

68 
68 
68 
68 
68 

68 
68 
68 

67 
67 

67 
67 
67 
67 
67 



^^ 



(250) 



No. 


5 


6 


7 


8 


9 


Diflf. 

4 

72 


600 


778513 


778585 


778658 


778730 


778802 


601 


779236 


779308 


779380 


779452 ! 


779524 


72 


602 


779957 


780029 


780101 


780173 


780245 


72 


603 


780677 


780749 


780821 


780893 


780965 


72 


604 


781396 


781468 


781540 


781612 


781684 


72 


^ 


7821 14 


782186 


782258 


782329 


782401 


72 


782831 


782902 


782974 


783046 


783117 


72 


6^ i 


783546 


783618 


783689 


783761 I 


783832 


71 


784261 


784332 


784403 


784475 


784546 


71 


609 


784974 


785045 


785116 


785187 , 


785259 


7' 


610 


785686 


785757 


785828 


785899 ! 


785970 


71 


611 


786396 


786467 


786538 


786609 i 


786680 


71 


612 


787106 


787177 


787248 


787319 ' 


787390 


71 


613 


787815 


78788s 


787956 


788027 


788098 


71 


614 


788522 


788593 


788663 1 


788734 ! 


788804 


71 


615 


789228 


789299 


789369 


789440 


789510 


71 


61$ 


789933 


790004 


790074 : 


790144 


790215 


70 


617 
61& 


790637 


790707 


790778 


790848 


790918 


70 


791340 


791410 


791480 


791550 


7Q1620 


70 


619 


792041 


7921 1 1 


792181 


792252 


792322 


70 


620 


792742 


792812 


792882 


792952 


793022 


70 


621 


793441 


79351 1 


793581 


793651 


793721 


70 


622 


794139 


794209 


794279 


794349 


794418 


70 


623 


794836 


794906 


794976 


795045 


7951 15 


70 


624 


795532 


795602 


795672 


795741 


79581 1 


70 


620 


796227 


796297 


796366 


796436 


796505 


69 


796921 


796990 


797060 


797129 


797198 


69 


627 


797614 


797683 


797752 


797821 


797890 


69 


628 


798305 


798374 


798443 


798513 


798582 


69 


629 


798996 


799065 


799134 


799203 


799272 


69 


630 


799685 


799754 


799823 


799892 


799961 


69 


631 


800373 


800442 


8005 1 1 


800580 


800648 


69 


632 


801061 


801 129 


801 198 


801266 


801335 


69 


633 


801747 


801815 


801884 


801952 


80202 1 


69 


634 


802432 


802500 


802568 


802637 


802705 


69 


63s 


8031 16 


803184 


803252 


803321 


803389 


68 


636 


803798 


803867 


803935 


804003 


804071 


68 


637 
638 


804480 


804548 


804616 


804685 


804753 


68 


805 161 


805229 


805297 


805365 


805433 


68 


639 


805841 


805908 


805976 


806044 


8061 12 


68 


640 


806519 


806587 


806655 


806723 


806790 


1 68 


641 


807197 


807264 


807332 


807400 


807467 


68 


642 


807873 


807941 


808008 


808076 


808143 


1 68 


643 


808549 


808616 


808684 


808751 


808818 


67 


644 


809223 


809290 


809358 


809425 


809492 


67 


645 


809896 


809964 


810031 


810098 


810165 


67 


646 


810569 


810636 


810703 


810770 


810837 


67 


647 


81 1 240 


81 1307 


i 811374 


, 811441 


81 1508 


67 


648 


811910 


81 1977 


812044 


812111 


812178 


67 


649 


812579 


1 812646 


812713 


812780 


812847 


67 



ii] 



(251) 



LOGARITHMS 



Log. 812. No. 650. 



OF NUMBERS 



Log. 845. No. 699. 



III! 



u 



Mi 



llllIM! I 



Hi! 



li I 



!|!!! 



If' 



IV ■' 



No. 



650 
652 

654 

657 
658 

659 

660 
661 
662 
663 
664 

66$ 
667 
668 
669 

670 
672 

673 
674 

675 

676 

679 

680 
681 
682 
683 
684 

685 

686 
687 
688 
689 

690 
691 
692 

693 
694 

695 
696 

697 

698 

699 



812913 

813581 
814248 

814913 
815578 

816241 
816904 

817565 
818226 
818885 

819544 
820201 
820858 
821514 
822168 

822822 
823474 
824126 
824776 
825426 

826075 
826723 
827369 
828015 
828660 

829304 
829947 
830589 
831230 
831870 

832509 

^33H7 
833784 
834421 

835056 

835691 
836324 
836957 
837588 
838219 

838849 
839478 
840106 

840733 
841359 

841985 
842609 

843233 
843855 
844477 



812980 
813648 
814314 
814980 
815644 

816308 
816970 
817631 
818292 
818951 

819610 
820267 
820924 

821579 
j 822233 

822887 

823539 
824191 
824841 
825491 

826140 
826787 
827434 
828080 
828724 

829368 
83001 I 
830653 
831294 

831934 

832573 
83321 1 

833848 

834484 
835120 

835754 
836387 

837020 

837652 
838282 



813047 

813714 
814381 

815046 

815711 

816374 
817036 
817698 
818358 
819017 

819676 
820333 
820989 
821645 
822299 

822952 
823605 
824256 
824906 
825556 

826204 
826852 
827499 
828144 
828789 

829432 
830075 

830717 
831358 
831998 

832637 

833275 
833912 

834548 

835183 

835817 
836451 

837083 

837715 
838345 



838912 


838975 


839541 


839604 


840169 


840232 


840796 


840859 


841422 


841485 


842047 


8421 10 


842672 


842734 


843295 


843357 


843918 


843980 


844539 


844601 



For explanation see pp. 207-215 



813114 
813781 
814447 
815113 
815777 

816440 
817102 
817764 
818424 
819083 

819741 
820399 
821055 
821710 
822364 

823018 
823670 
824321 
824971 
825621 

826269 
826917 

827563 
828209 
828853 

829497 
830139 
830781 
831422 
832062 

832700 

833338 

833975 
83461 1 

835247 

835881 
836514 
837146 

837778 
838408 

839038 
839667 
840294 
840921 

841547 

842172 
842796 
843420 
844042 
844664 



813181 
813848 
814514 

815179 
815843 

816506 
817169 
817830 
818490 
819149 

819807 
820464 
821 120 

821775 
822430 

823083 

823735 
824386 

825036 

825686 

826334 
826981 
827628 
828273 
828918 

829561 
830204 
830845 
831486 
832126 

832764 
833402 
834039 
834675 
835310 

835944 

836577 
837210 
837841 
838471 

839101 
839729 

840357 
840984 

841610 

842235 
842859 
843482 
844104 
844726 



Diff. 



67 
67 
67 

66 
66 

66 
66 
66 
66 
66 

66 
66 
66 

65 
65 

65 
65 
65 
65 
65 

65 

65 
65 
64 
64 

64 
64 
64 
64 
64 

64 
64 
64 
64 

63 

63 
63 
63 
63 
63 

63 
63 
63 
63 
63 

62 
62 
62 
62 
62 



(252) 



No. 



650 
652 

653 
654 

65s 
656 

657 
658 

659 

660 
661 
662 
663 
664 

66s 
666 
667 
668 
669 

670 
671 
672 

673 
674 

676 
677 
678 
679 

680 
681 
682 
683 
684 

685 

686 

68 

681 

689 

690 
691 
692 

693 
694 

695 
696 

697 

698 

699 



813247 

813914 
814581 
815246 
815910 

816573 

817235 
817896 

818556 

819215 

819873 
820530 
821186 
821841 
822495 

823148 
823800 
824451 
825101 

825751 

826399 
827046 
827692 
828338 
828982 

829625 
830268 
830909 

831550 
832189 

832828 
833466 
834103 
834739 
835373 

836007 
836641 

837273 
837904 
838534 

839164 

• 839792 
840420 
841046 
841672 

842297 
84292 1 

843544 
844166 
844788 



6 



813314 
813981 

814647 
815312 
815976 

816639 
817301 
817962 
818622 
819281 

819939 
820595 
821251 
821906 
822560 

823213 
823865 
824516 
825166 
825815 

826464 
8271 1 1 

827757 
828402 

829046 

829690 
830332 

830973 
831614 
832253 

832892 

833530 
834166 
834802 

835437 

836071 
836704 

837336 
837967 
838597 

839227 

839855 
840482 

841 109 

841735 

842360 
842983 
843606 
844229 
844850 



813381 
814048 
814714 

815378 
816042 

816705 
817367 
818028 
818688 
819346 

820004 
820661 
821317 
821972 
822626 

823279 
823930 
824581 
825231 
825880 

826528 
827175 
827821 
828467 
8291 1 1 

829754 
830396 
831037 
831678 

832317 

832956 

833593 
834230 

834866 

835500 

836134 
836767 

837399 
838030 
838660 

839289 
839918 

840545 
841172 

841797 

842422 
843046 
843669 
844291 
844912 



8 



813448 
814114 
814780 

815445 
816109 

816771 

817433 
818094 

818754 
819412 

820070 
820727 
821382 
822037 
822691 

823344 
823996 
824646 
825296 

825945 

826593 

827240 
827886 
828531 
829175 

829818 
830460 
831102 
831742 
832381 

833020 

833657 
834294 
834929 

835564 

836197 
836830 

837462 

838093 

838723 

839352 
839981 
840608 
841234 
841860 

842484 
843108 

843731 

844353 
844974 



9 



813514 
814181 

814847 

815511 

816175 
816838 

817499 
818160 

818820 

819478 

820136 
820792 
821448 
822103 
822756 

823409 
824061 
824711 
825361 
826010 

826658 

827305 
827951 
828595 
829239 

829882 

830525 
831166 

831806 
832445 

833083 
833721 
834357 
834993 
835627 

836261 
836894 

837525 
838156 
838786 

839415 
840043 

840671 

841297 

841922 

842547 

843170 

843793 
844415 

845036 



Diff. 



67 
67 
67 
66 
66 

66 
66 
66 
66 
66 

66 
66 
66 

65 
65 

65 
65 
65 
65 
65 

65 
65 
65 
64 
64 

64 
64 
64 

64 
64 

64 
64 
64 
64 
63 

63 
63 
63 
63 
63 

63 
63 
63 
63 
63 

62 
62 
62 
62 
62 



(253) 



p 2 



I I ] 



It '1 













LOGABITHMS 


Log 


.845. No. 700 


• 






No. 





1 


2 


3 


4 


Dili. 


700 


845098 


845160 i 


845222 


845284 


845346 


62 


701 


845718 


845780 


845842 i 


845904 


845966 


62 


702 


846337 


846399 


846461 


846523 


846585 


62 


703 


846955 


847017 


847079 


847 141 


847202 


62 


704 


847573 


847634 


847696 


847758 


847819 


62 


705 


848189 


848251 


848312 


848374 


848435 


62 


706 1 


848805 


848866 


848928 


848989 


849051 


61 


707 1 


S49419 


849481 


849542 


849604 


849665 


61 


708 


850033 


850095 


850156 i 


850217 


850279 


61 


709 


850646 


850707 


850769 


850830 


850891 


61 


710 


851258 


851320 


851381 


851442 


851503 


61 


711 


851870 


i 851931 


851992 


852053 


8521 14 


61 


712 


852480 


1 852541 


852602 


852663 


852724 


61 


713 


853090 


853150 


8532 1 1 


853272 


853333 


61 


714 


853698 


853759 


853820 


853881 


853941 


61 


71S 


854306 


854367 


854428 


854488 


854549 


61 


716 


854913 


854974 


855034 


855095 


855156 


61 


717 
718 


855519 


855580 


855640 


855701 


855761 


61 


856124 


856185 


856245 


856306 


856366 


60 


719 


856729 


856789 


856850 


856910 


856970 


60 


720 


857332 


857393 


857453 


857513 


857574 


60 


721 


857935 


857995 


858056 


858116 


858176 


60 


722 


858537 


858597 


858657 


858718 


858778 


60 


723 


859138 


859198 


859258 


859318 


859379 


60 


724 


859739 


\ 859799 


859859 


859918 


859978 


60 


72s 


860338 


1 860398 


860458 


860518 


860578 


60 


726 


860937 


! 860996 


861056 


861 1 16 


861 176 


60 


727 


861534 


i 861594 


861654 


861 7 14 


861773 


60 


728 


862131 


862191 


862251 


862310 


862370 


60 


729 


862728 


i 862787 


862847 


862906 


862966 


60 


730 


863323 


863382 


863442 


863501 


863561 


59 


731 


863917 


863977 


864036 


864096 


864155 


59 


732 


8645 1 1 


864570 


864630 


864689 


864748 


59 


733 


865104 


865163 


865222 


865282 


865341 


59 


734 


865696 


: 865755 


865814 


865874 


865933 


59 


735 


866287 


866346 


866405 


866465 


866524 


59 


736 


866878 


866937 


866996 


867055 


8671 14 


59 




867467 


867526 


867585 


867644 


867703 


59 


868056 


8681 15 


868174 


868233 


868292 


59 


739 


868644 


1 868703 


868762 


868821 


868879 


59 


740 


869232 


869290 


869349 


869408 


869466 


59 


741 


869818 


869877 


869935 


869994 


870053, 


59 


' 742 


870404 


870462 


870521 


870579 


870638 


5! 


743 


870989 


i 871047 


871 106 


871 164 


871223 


58 


744 


871573 


: 871631 


871690 


871748 


871806 


58 


745 


872156 


872215 


872273 


872331 


872389 


58 


746 


872739 


872797 


872855 


872913 


87297c 


5? 


747 


873321 


: 873379 


873437 


873495 


873553 


58 


748 


873902 


i 873960 


874018 


874076 


874134 


58 


749 


874487 


874540 


874598 


874656 


874714 


58 



For explanation see pp. 207-215 



(254) 



OF NUMBERS 



Log. 875. No. 749. 



No. 



700 
701 
702 

703 
704 

705 
706 

707 

708 

709 

710 
711 
712 

713 
714 

716 
717 
718 
719 

720 
721 
722 

723 
724 

725 
720 



729 

730 
731 
732 

733 
734 

735 
736 
737 
738 
739 

740 

741 
742 

743 
744 

746 

747 
748 

749 



845408 
846028 
846646 
847264 
847881 

848497 
8491 12 
849726 
850340 
850952 

851564 
852175 
852785 
853394 
854002 

854610 
855216 
855822 
856427 
857031 

857634 
858236 
858838 

859439 
860038 

860637 
861236 
861833 
862430 
863025 

863620 
864214 
864808 
865400 
865992 

866583 
867173 
867762 
868350 
868938 

869525 
8701 1 1 
870696 
871281 
871865 

872448 

873030 
87361 1 
874192 
874772 



6 



845470 
846090 
846708 
847326 

847943 

848559 
849174 
849788 

850401 
851014 

851625 
852236 
852846 

853455 
854063 

854670 

855277 
855882 

856487 

857091 

857694 
858297 
858898 

859499 
860098 

860697 
861295 
861893 

862489 
863085 

863680 
864274 
864867 

865459 
866051 

866642 
867232 
867821 
868409 
868997 

869584 
870170 

870755 
871339 
871923 

872506 
873088 
873669 
874250 
874830 



845532 
846151 
846770 
847388 
848004 

848620 

849235 

849849 
850462 

851075 

851686 
852297 
852907 

853516 
854124 

854731 
855337 
855943 
856548 
857152 

857755 
858357 
858958 

859559 
860158 

860757 

861355 
861952 

862549 

863144 

863739 

864333 
864926 

865519 
8661 10 

866701 
867291 
867880 
868468 
869056 

869642 
870228 
870813 

871398 
871981 

872564 
873146 
873727 
874308 
874888 



8 



9 



845594 
846213 
846832 
847449 
848066 

848682 
849297 
84991 I 
850524 
851136 

851747 
852358 
852968 

853577 
854185 

854792 

855398 
856003 
856608 
857212 

857815 
858417 
859018 
859619 
860218 

860817 

861415 
862012 

862608 

863204 

863799 
864392 

864985 

865578 

866169 

866760 
867350 
867939 
868527 
869114 

869701 
870287 
870872 
871456 
872040 

872622 
873204 
873785 
874366 

874945 



845656 
846275 
846894 

84751 1 
848128 

848743 

849358 
849972 

850585 
851 197 

851809 
852419 
853029 

853637 
854245 

854852 

855459 
856064 
856668 
857272 

857875 

858477 
859078 

859679 
860278 

860877 

861475 
862072 

862668 

863263 

863858 
864452 
865045 

865637 
866228 

866819 
867409 
867998 
868586 
869173 

869760 

870345 
870930 

871515 
872098 

872681 
873262 
873844 
874424 
875003 



DiflE. 



62 
62 
62 
62 
62 

62 
61 
61 
61 
61 

61 
61 
61 
61 
61 

61 
61 
61 

60 ' 
60 

60 
60 
60 
60 
60 

60 

60 
60 
60 
60 

59 
59 
59 
59 
59 

59 
59 
59 
59 
59 

59 
59 
58 
58 
58 

58 
58 
58 
58 
58 



^11 



(255) 



LOGARITHMS 



OF NUMBERS 



Log. 875. No. 750. 



Log. 903. No. 799. 



No. 





1 


2 


3 


4 


Dili. 


750 


875061 


875119 


875177 


875235 


875293 


58 


751 


875640 


875698 . 


875756 


875813 


875871 


58 


752 


876218 


876276 


876333 


876391 


1 876449 


58 


753 


876795 


876853 


876910 


876968 


1 877026 


58 


754 


877371 


877429 


877487 


877544 


877602 


58 


755 


877947 


878004 


878062 


8781 19 


878177 


57 


756 


878522 


878579 


878637 


878694 


878752 


57 


757 


879096 


879153 


87921 1 


879268 


879325 


; 57 


758 


879669 


879726 


879784 


: 879841 


879898 


57 


759 


880242 


880299 


880356 


880413 


880471 


57 


760 


880814 


880871 


880928 


880985 


881042 


57 


761 


881385 


881442 


881499 


881556 


881613 


57 


76^ 


881955 


882012 


882069 


882126 


882183 


57 


763 


882525 


882581 


882638 


882695 


882752 


57 


764 


883093 


883150 


883207 


883264 


88^321 


57 


765 


883661 


883718 


883775 


883832 


883888 


57 


766 


884229 


884285 


884342 


884399 


884455 


57 


767 


884795 


884852 


884909 


884965 


885022 


57 


768 


885361 


885418 


885474 


885531 


885587 


57 


769 


885926 


885983 


886039 


886096 


886152 


56 


770 ' 


886491 


886547 


886604 


886660 


886716 


56 


771 


887054 


8871 1 1 


887167 


887223 


887280 


56 


772 


887617 


887674 


887730 


887786 


887842 


56 


773 


888179 


888236 


888292 


888348 


888404 


56 


774 


888741 


888797 


888853 


j 888909 


888965 


56 


775 


889302 


889358 


889414 


889470 


' 889526 


56 


776 


889862 


889918 


889974 


890030 


890086 


56 


777 


890421 


890477 


890533 


890589 


890645 


56 


778 


890980 


891035 


891091 


891 147 


891203 


56 


779 


891537 


891593 


891649 


891705 


891760 


56 


780 


892095 


892150 


892206 


892262 


892317 


56 


781 


89265 1 


892707 


892762 


892818 


892873 


56 


782 


893207 


893262 


893318 


893373 


893429 


56 


783 


893762 


893817 


893873 


893928 


893984 


55 


784 


894316 


894371 


894427 


894482 


894538 


55 


785 


894870 


894925 


894980 


895036 


895091 


55 


786 


895423 


895478 


895533 


895588 


895644 


55 


787 


895975 


896030 


896085 


896140 


896195 


55 


788 


896526 


896581 


896636 


896692 


896747 


55 


789 


897077 


897132 


897187 


897242 


897297 


55 


790 


897627 


897682 


897737 


897792 


897847 


55 


791 


898176 


898231 


898286 


898341 


898396 


55 


792 


898725 


898780 i 


898835 


898890 


898944 


55 


793 


899273 


899328 


899383 


899437 


899492 


55 


794 


899821 


899875 


899930 


899985 


900039 


55 


795 


900367 


900422 


900476 


900531 


900586 


55 


796 


900913 


900968 


901022 


901077 


901 131 


55 


797 


901458 


901513 


901567 


901622 


901676 


54 


798 


902003 


902057 


9021 12 


902166 


902221 


54 


799 


902547 


902601 


902655 


902710 


902764 


54 



For explanation see pp. 207-215 



(256) 



No. 



750 
751 
752 

753 
754 



759 

760 
761 
762 

763 
764 

769 

770 
771 
772 

773 
774 

SS 
770 

777 
778 

779 

780 
781 

782 

784 

785 
786 

787 
788 

789 

790 
791 
792 

793- 
794 

795 
796 

797 
798 

799 



875351 
875929 
876507 

877083 
877659 

878234 
878809 

879383 
879956 
880528 

881099 
881670 
882240 
882809 
883377 

883945 
884512 

885078 

885644 
886209 

886773 
887336 
887898 
888460 
889021 

889582 
890141 
890700 
891259 
891816 

892373 
892929 

893484 

894039 

894593 

895146 
895699 
896251 
896802 

897352 

897902 
898451 
898999 
899547 
900094 

900640 
901 186 
901731 
902275 
902818 



6 

875409 
875987 
876564 

877141 
877717 

878292 
878866 

879440 
880013 
880585 

881 156 

881727 
882297 
882866 
883434 

884002 
884569 

885135 
885700 

886265 

886829 
887392 

887955 
888516 

889077 

889638 
890197 
890756 
891314 
891872 

892429 
892985 
893540 
894094 
894648 

895201 

895754 
896306 
896857 

897407 

897957 
898506 

899054 
899602 

900149 

900695 
901240 

901785 
902329 

902873 



8 



875466 
876045 
876622 

877199 
877774 

878349 
878924 

879497 
880070 

880642 

881213 
881784 
882354 
882923 

883491 

884059 

884625 

885192 

885757 
886321 

886885 

887449 
88801 I 

888573 
889134 

889694 
890253 
890812 
891370 
891928 

892484 
893040 

893595 
894150 

894704 

895257 
895809 
896361 
896912 
897462 

898012 
898561 
899109 
899656 
900203 

900749 
901295 
901840 
902384 
902927 



875524 
876102 
876680 
877256 
877832 

878407 
878981 

879555 
880127 

880699 

881 27 1 
881841 
88241 1 
882980 
883548 

8841 15 
884682 

885248 

885813 

886378 

886942 

887505 
888067 
888629 
889190 

889750 
890309 
890868 
891426 

891983 

892540 
893096 

893651 
894205 

894759 

895312 
895864 
896416 
896967 
897517 

898067 
898615 
899164 

8997 I I 
900258 

900804 

901349 
901894 

902438 

902981 



9 

875582 
876160 

876737 
877314 
877889 

878464 

879039 
879612 

880185 

880756 

881328 
881898 
882468 

883037 
883605 

884172 

884739 

885305 
885870 

886434 

886998 
887561 
888123 
888685 
889246 

889806 
890365 
890924 
891482 

892039 

892595 

89315 1 
893706 

894261 

894814 

895367 
895920 

896471 
897022 
897572 

898122 
898670 
899218 
899766 
900312 

900859 
901404 
901948 
902492 

903036 



Diff. 



58 

5| 
58 

58 

58 

57 
57 
57 
57 
57 

57 
57 
57 
57 
57 

57 
57 
57 
57 
56 

56 
56 

56 

56 
56 
56 
56 
56 

56 
56 
56 
55 
55 

55 
55 
55 
55 
55 

55 
55 
55 
55 
55 

55 
55 
54 
54 
54 



• t 



(257) 




I 



I 



Ml 



ill 



Log. 903. No. 800, 



LOGARITHMS 



No. 



800 
801 
803 
803 
804 

805 
806 
807 
808 
809 

810 
811 
812 

814 

815 
816 

^n 
818 

819 

820 
821 
822 
823 
824 

8^ 
827 
828 
829 

830 

831 
832 

833 
834 

835 
836 

837 
838 

839 

840 
841 
842 

843 
844 

845 ■ 
846 

847 
848 

849 







903090 

903633 
904174 

904716 

905256 

905796 
906335 

906874 

9074 1 1 
907949 

908485 

909021 

909556 

9I009I 
910624 

9III58 

91 1690 
912222 

912753 
913284 

9I38I4 

914343 
914872 

915400 

915927 
916454 

916980 

917506 

918030 

918555 

919078 
9 I 9601 
920123 
920645 
921 166 

921686 
922206 
922725 

923244 
923762 

924279 
924796 
925312 
925828 
926342 

926857 
927370 
927883 
928396 
928908 



1 



903144 
903687 
904229 
904770 
905310 

905850 
906389 
906927 

907465 
908002 

908539 
909074 
909610 
910144 
910678 

911211 

91 1743 
912275 

912806 
913337 

913867 

914396 

914925 

915453 
915980 

916507 

■917033 

917558 
918083 

918607 

919130 

919653 
920176 

920697 

921218 

921738 
922258 
922777 
923296 
923814 

924331 I 

924848 j 

925364 i 

925879 
926394 

926908 
927422 

927935 
928447 

928959 



For explaiiaiion see pp. 207-215 



903199 

903741 
904283 
904824 

905364 

905904 
906443 
906981 
907519 
908056 

908592 
909128 
909663 
910197 
910731 

91 1264 

911797 
912328 
912859 
913390 

913920 
914449 

914977 

915505 
916033 

916559 
917085 
917611 

918135 
918659 

919183 
919706 
920228 
920749 
921270 

921790 
922310 
922829 
923348 
923865 

924383 
924899 

925415 

925931 
926445 

926959 

927473 
927986 

928498 

929010 



903253 
903795 
904337 
904878 

905418 

905958 
906497 

907035 

907573 
908110 

908649 
909181 
909716 
91025 1 
910784 

911317 
91 1850 
912381 
912913 

913443 

913973 
914502 

915030 

915558 
916085 

916612 

917138 
917663 
918188 
918712 

919235 
919758 
920280 
920801 
921322 

921842 
922362 
922881 

923399 
923917 

924434 
924951 

925467 

925982 

926497 

92701 1 
927524 
928037 
928549 
929061 



903307 

903849 
904391 

904932 

905472 

906012 
906551 
907089 
907626 
908163 

908699 

909235 
909770 
910304 
910838 

911371 
91 1903 
912435 
912966 
913496 

914026 

914555 
915083 

915611 
916138 

916664 
917190 

917716 
918240 
918764 

919287 f 
919810 
920332 
920853 

921374 

921894 
922414 
922933 

923451 
923969 

924486 
925003 
925518 
926034 
926548 

927062 

927576 
928088 
928601 
9291 12 



Diff. 



54 
54 
54 
54 
54 

54 
54 
54 
54 
54 

54 
54 
53 

53 
53 

53 
53 
53 
53 

53 

53 
53 
53 
53 
53 

53 
53 

52 
52 
52 

52 
52 
52 
52 
52 

52 
52 
52 
52 
52 

52 
52 
52 
51 
51 

51 
51 
51 
51 
51 



m 



(258; 



OP NUMBERS 








, 








Log. 


929. 


. No. 


849. 


No. 


5 


6 


7 


8 


9 


Diff. 


800 


903361 


903416 


903470 


903524 


903578 


54 


801 


903904 


903958 


904012 


904066 


904120 


54 


802 


904445 


904499 


904553 


904607 


904661 


54 


803 


904986 


905040 


905094 


905148 


905202 


54 


804 


905526 


905580 


905634 


905688 


905742 


54 


^ 


906066 


9061 19 


906173 


906227 


906281 


54 


906604 


906658 


906712 


906766 


906820 


54 


807 


907143 


907196 


907250 


907304 


907358 


54 


808 


907680 1 


907734 


907787 


907841 


907895 


54 


809 


908217 


908270 


908324 


908378 


908431 


54 


810 


908753 


908807 


908860 


908914 


908967 


54 


811 1 


909289 


909342 


909396 


909449 


909503 


54 


812 


909823 


909877 


909930 


909984 


910037 


53 


813 


910358 


910411 


910464 1 


910518 


910571 


53 


814 ! 


9I089I 


910944 


910998 


911051 


91 I 104 


53 


815 


91 1424 


91 1477 


911530 


91 1584 


911637 


53 


816 


91 1956 


912009 


912063 


912116 


912169 


53 


817 


912488 


912541 


912594 


912647 


912700 


53 


818 


9I30I9 


913072 


913125 


913178 


913231 


53 


819 


913549 


913602 


913655 


913708 


913761 


53 


820 


914079 


914132 


914184 


914237 


914290 


53 


821 


914608 


914660 


914713 


914766 


914819 


53 1 


822 


9I5I36 


915189 


915241 


915294 


915347 


53 i 


823 


915664 


915716 


915769 


915822 


915875 


53 1 


824 


9I6I9I 


916243 


916296 


916349 


916401 


53 ) 

• 1 


825 


9I67I7 


916770 


916822 


916875 


916927 


53 


826 


917243 


917295 


917348 


917400 


917453 


53 


827 


917768 


917820 


917873 


917925 


917978 

1 j-% 


52 


828 


918293 


918345 


1 918397 


918450 


: 918502 


52 


829 


9I88I6 


918869 


i 91 892 I 


918973 


919026 

1 


52 


830 


919340 


919392 


919444 


919496 


919549 


52 


831 


919862 


919914 


919967 


920019 


1 920071 


52 


832 


920384 


920436 


920489 


920541 


920593 


52 


833 


920906 


920958 


921010 


921062 


921114 


52 


834 


921426 


921478 


921530 


921582 


, 921634 


52 


83s 


921946 


921998 


922050 


922102 


' 922154 


52 


836 


922466 


922518 


922570 


922622 


922674 


11 i 


837 


922985 


923037 


923089 


923140 


1 923192 


52 ; 


83§ 


923503 


923555 


923607 


923658 


923710 


52 1 


839 


924021 


924072 


924124 


924176 


924228 


52 


840 


924538 


924589 


924641 


924693 


924744 


52 


841 


925054 


925106 


925157 


925209 


925261 


52 


842 


925570 


925621 


925673 


925725 


925776 


52 


843 


926085 


926137 


926188 


926240 


926291 


51 


844 


926600 


926651 


926702 


926754 


926805 

1 


51 


iti 


927 1 14 


927165 


927216 


927268 


927319 


51 


927627 


927678 


927730 


927781 


927832 


51 


1$ 


928140 


928191 


928242 


928293 


928345 


51 


928652 


928703 


928754 


928805 


928857 


51 


849 


929163 


929215 


929266 


929317 


929368 


1 51 



I 



C259) 






-i il 



I '-I' il 





^ 








LOGARITHMS 


Log 


;. 929. No. 850 


• 






No. 





1 


2 


3 


4 


DiflL 


850 


r 

929419 


929470 


929521 


929572 


929623 


51 


?5' 


929930 


929981 


930032 


930083 


930134 


51 


|52 


930440 


930491 


930542 


930592 


930643 


51 


853 


930949 


931000 


931051 


931 102 


931 153 


SI 


854 


931458 


931509 


931560 


931610 


931661 


51 


f55 


931966 


932017 


932068 


9321 18 


932169 


51 


855 


932474 


932524 


932575 


932626 


932677 


51 


857 


932981 


933031 


933082 


933133 


933183 


51 


858 


933487 


933538 


933589 


933639 


933690 


51 


859 


933993 


934044 


934094 


934145 


934195 


51 


860 


934498 


934549 


934599 


934650 


934700 


50 


861 


935003 


935054 


935104 


935154 


935205 


50 


862 


935507 


935558 


935608 


935658 


935709 


50 


863 


93601 I 


936061 


9361 1 1 


936162 


936212 


50 


864 


936514 


936564 


936614 


936665 


936715 


50 


!55 


937016 


937066 


937117 


937167 


937217 


50 


866 


937518 


937568 


937618 


937668 


937718 


50 


867 
868 


938019 


938069 


938119 


938169 


938219 


50 


938520 


938570 


938620 


938670 


938720 


50 


869 


939020 


939070 


939120 


939170 


939220 


50 


870 


939519 


939569 


939619 


939669 


939719 


50 


571 


940018 


940068 


9401 18 


940168 


940218 


50 


872 


940516 


940566 


940616 


940666 


940716 


50 


87? 


941014 


941064 


941 1 14 


941 163 


941213 


SO 


941511 


941561 


941611 


941660 


941710 


50 


?75 


942008 


942058 


942107 


942157 


942207 


SO 


876 


942504 


942554 


942603 


942653 


942702 


50 


1^ 


943000 


943049 


943099 


943148 


943198 


49 


943495 


943544 


943593 


943643 


943692 


49 


879 


943989 


944038 


944088 


944137 


944186 


49 


880 


944483 


944532 


944581 


944631 


944680 


49 


881 


944976 


945025 


945074 


945124 


945173 


49 


882 


945469 


945518 


945567 


945616 


945665 


49 


883 


945961 


946010 


946059 


946108 


946157 


49 


884 


946452 


946501 


946551 


946600 


946649 


49 


885 


946943 


946992 


947041 


947090 


947140 


49 


886 


947434 


947483 


947532 


947581 


947630 


49 


887 
888 


947924 


947973 


948022 


948070 


9481 19 


49 


948413 


948462 


94851 1 


948560 


948609 


49 


889 


948902 


948951 


948999 


949048 


949097 


49 


890 


949390 


949439 


949488 


949536 


949585 


49 


891 


949878 


949926 


949975 


950024 


950073 


49 


892 


950365 


950414 


950462 


9505 1 1 


950560 


49 


893 


950851 


950900 


950949 


950997 


951046 


49 


894 


951338 


951386 


951435 


951483 


951532 


49 


89s 


951823 


951872 


951920 


951969 


952017 


48 


896 


952308 


952356 


952405 


952453 


952502 


48 


8^ 


952792 


952841 


952889 


952938 


952986 


48 


953276 


953325 


953373 


953421 


953470 


48 


899 


953760 


953808 


953856 


953905 


953953 


48 



Eor explanation see pp. 207-215 



(260) 



OF NUMBERS 



Log. 954. No. 



899 



No. 



850 

851 
852 

853 

854 

855 
856 

857 
858 

859 

860 
861 
862 
863 
864 

865 
866 
867 
868 
869 

870 
871 
872 

873 
874 

875 
876 

877 
878 

879 

880 
881 
882 
883 
884 

885 
886 
887 
888 
889 

890 
891 
892 

893 

894 

895 
896 

897 

898 

899 



929674 
930185 
930694 
931204 
931712 

932220 

932727 
933234 
933740 
934246 

934751 
935255 
935759 
936262 

936765 

937267 
937769 
938269 

938770 
939270 

939769 
940267 

940765 

941263 

941760 

942256 
942752 

943247 
943742 
944236 

944729 
945222 

945715 
946207 
946698 

947189 
947679 
948168 

948657 
949146 

949634 
950121 

950608 

951095 
951580 

952066 
952550 
953034 
953518 
954001 



929725 
930236 

930745 
931254 
931763 

932271 
932778 

933285 
933791 
934296 

934801 
935306 
935809 
936313 
936815 

937317 
937819 
938320 
938820 
939320 

939819 

940317 
940815 

941313' 
941809 

942306 
942801 

943297 
943791 
944285 

944779 
945272 

945764 
946256 

946747 

947238 
947728 
948217 
948706 

949195 

949683 
950170 

950657 

951143 
951629 

9521 14 

952599 
953083 
953566 

954049 



8 



929776 
930287 
930796 

931305 
931814 

932322 
932829 

933335 
933841 
934347 

934852 
935356 
935860 

936363 
936865 

937367 
937869 

938370 
938870 

939369 

939869 
940367 
940865 
941362 
941859 

942355 
942851 

943346 
943841 

944335 
944828 
945321 
945813 
946305 
946796 

947287 

947777 
948266 

948755 
949244 

949731 
950219 

950706 

951 192 

951677 

952163 
952647 

953131 
953615 
954098 



9 



929827 

930338 
930847 
931356 
931865 

932372 

932879 
933386 
933892 
934397 

934902 
935406 
935910 

936413 
936916 

937418 

937919 
938420 

938920 
939419 

939918 
940417 

940915 
941412 

941909 

942405 
942901 

943396 
943890 

944384 

944877 
945370 
945862 

946354 
946845 

947336 
947826 

948315 
948804 

949292 

949780 
950267 

950754 
951240 

951726 

9522 I I 
952696 
953180 
953663 
954146 



929879 
930389 
930898 

931407 
931915 

932423 
932930 
933437 
933943 
934448 

934953 
935457 
935960 

936463 
936966 

937468 
937969 
938470 
938970 
939469 

939968 
940467 
940964 
94 I 462 
941958 

942455 
942950 

943445 
943939 
944433 

944927 

945419 
9459 I 2 
946403 
946894 

947385 
947875 
948364 
948853 
949341 

949829 
950316 
950803 
951289 

951775 

952260 

952744 
953228 

9537 1 1 
954194 



Difl. 



SI 

51 
51 
51 
51 

51 
51 
51 
51 
51 

50 
50 
50 
50 
50 

SO 
50 
50 
50 
50 

50 
50 
50 
50 
50 

50 

50 
49 
49 
49 

49 
49 
49 
49 
49 

49 
49 
49 
49 
49 

49 
49 
49 
49 
49 

48 
48 

.48 
48 

48 



' '1 



(261) 



LOGARITHMS 




s; 



Log. 954. No. 900. 



No. 





1 


2 


3 


4 


Diif. 
48 


900 


954243 


954291 


954339 


954387 


954435 


901 


954725 


954773 


954821 


954869 


954918 


48 


902 


955207 


955255 


955303 


955351 


955399 


48 


903 


955688 


955736 


955784 


955832 


955880 


48 


904 


956168 


956216 


956265 


956313 


956361 


48 


905 


956649 


956697 


956745 


956793 


956840 


48 


906 


957128 


957176 


957224 


957272 


957320 


48 


907 


957607 


957655 


957703 


957751 


957799 


48 


908 


958086 


958134 


958181 


958229 


958277 


48 


909 


958564 


958612 


958659 


958707 


958755 


48 


910 


959041 


959089 


959137 


959185 


959232 


48 


911 


959518 


959566 


959614 


959661 


959709 


48 


912 


959995 


960042 


960090 


960138 


960185 


48 


913 


960471 


960518 


960566 


960613 


960661 


48 


914 


960946 


960994 


961041 


961089 


961 136 


47 


915 


96142 I 


961469 


961516 


961563 


961611 


47 


916 


961895 


961943 


961990 


962038 


962085 


47 


917 


962369 


962417 


962464 


96251 1 


962559 


47 


918 


962843 


962890 


962937 


962985 


963032 


47 


919 


963316 


963363 


963410 


963457 


963504 


47 


920 


963788 


963835 


963882 


963929 


963977 


47 


921 


964260 


964307 


964354 


964401 


964448 


47 


922 


964731 


964778 


964825 


964872 


964919 


47 


923 


965202 


965249 


965296 


965343 


965390 


47 


924 


965672 


965719 


965766 


965813 


965860 


47 


925 


966142 


966189 


966236 


966283 


966329 


47 


926 


96661 I 


966658 


966705 


966752 


966799 


47 


927 


967080 


967127 


967173 


967220 


967267 


47 


928 


967548 


967595 


967642 


967688 


967735 


47 


929 


968016 


968062 


968109 


968156 


968203 


47 


930 


968483 


968530 


968576 


968623 


968670 


47 


931 


968950 


968996 


969043 


969090 


969136 


47 


932 


969416 


969463 


969509 


969556 


969602 


47 


933 


969882 


969928 


969975 


970021 


970068 


47 


934 


970347 


970393 


970440 


970486 


970533 


46 


935 


970812 


970858 


970904 


970951 


970997 


46 


936 


971276 


971322 


971369 


971415 


971461 


46 




971740 


971786 


971832 


971879 


971925 


46 


938 


972203 


972249 


972295 


972342 


972388 


46 


939 


972666 


972712 


972758 


972804 


972851 


46 


940 


973128 


973174 


973220 


973266 


973313 


46 


941 


973590 


973636 


973682 


973728 


973774 


46 


942 


974051 


974097 


974143 


974189 


974235 


46 


943 


974512 


974558 


974604 


974650 


974696 


46 


944 


974972 


975018 


975064 


975110 


975156 


46 


945 


975432 


975478 


975524 


975570 


1 975616 


46 


946 


975891 


975937 


975983 


976029 


1 976075 


46 


i 947 


976350 


976396 


1 976442 


976488 


976533 


46 


' 948- 


976808 


976854 


976900 


976946 


976992 


46 


J 949 


1 9772t)0 

1 


977312 

1 


97735S 


977403 


977449 


46 



For explanation see pp. 207-215 



(262) 



OF NUMBERS 



Log. 977. No. 949, 



No. 



900 
901 
902 

903 
904 

905 
906 

907 
908 

909 

910 
911 
912 

913 
914 

916 

917 
918 

919 

920 
921 
922 
923 

924 

925 
926 

927 
928 
929 

930 
931 
932 

933 
934 

935 
936 
937 
938 
939 

940 
941 
942 

943 
944 

945 
946 

947 
948 
949 



6 



954484 
954966 

955447 
955928 

956409 
956888 
957368 
957847 
958325 
958803 

959280 

959757 
960233 

960709 

961 184 

961658 
962132 
962606 
963079 
963552 

964024 
964495 
964966 

965437 
965907 

966376 
966845 

967314 
967782 

968249 

968716 
969183 

969649 
9701 14 

970579 

971044 
971508 
97 197 I 
972434 
972897 

973359 
973820 

974281 

974742 

975202 

975662 
976121 

976579 
977037 
977495 



954532 
955014 
955495 
955976 
956457 j 

956936 i 
957416 

957894 
958373 
958850 

959328 

959804 
960280 
960756 
961231 

961706 
962180 
962653 
963126 

963599 

964071 
964542 
965013 
965484 
965954 

966423 
966892 
967361 
967829 
968296 

968763 
969229 
969695 
970161 
970626 

971090 

971554 
972018 
972481 

972943 

973405 
973866 

974327 
974788 

975248 

975707 
976167 
976625 
977083 
977541 



8 



9 



954580 
955062 

955543 
956024 

956505 

956984 

957464 I 
957942 
958421 
958898 

•959375 
959852 

960328 

960804 

961279 

961753 
962227 

962701 

963174 
963646 

9641 18 

964590 
965061 

965531 
966001 

966470 
966939 
967408 
967875 

968343 

968810 
969276 

969742 
970207 
970672 

971137 
971601 
972064 
972527 
972989 

973451 
973913 
974374 
974834 
975294 

975753 
976212 

976671 

977129 

977586 



954628 ! 

955110 ; 

955592 
956072 

956553 ! 

957032 
957512 

957990 
958468 
958946 

959423 
959900 

960376 

960851 

961326 

961801 
962275 
962748 
963221 

963693 
964165 

964637 
965108 

965578 
966048 

966517 
966986 

967454 
967922 

968390 

968856 

969323 

969789 
970254 

970719 

971 183 
971647 
9721 10 
972573 
973035 

973497 
973959 
974420 
974880 
975340 

975799 
976258 

976717 

977175 

977632 



DiflE. 



954677 
955158 
955640 
956120 
956601 

957080 

957559 
958038 

958516 

958994 

959471 
959947 
960423 

960899 
961374 

961848 
962322 
962795 
963268 

963741 

964212 
964684 

965155 
965625 

966095 

966564 

967033 
967501 

967969 
968436 

968903 
969369 

969835 
970300 

970765 

97 I 229 
971693 
972157 
972619 
973082 

973543 
974005 

974466 

974926 

975386 

975845 
976304 
976763 
977220 
977678 



48 
48 
48 
48 

48 

48 
48 
48 
48 

48 

48 

48 
48 

48 

47 

47 
47 
47 
47 
47 

47 
47 
47 
47 
47 

47 
47 
47 

47 
47 

47 
47 
47 
47 
46 

46 

46 
46 
46 

46 

46 
46 
46 
46 
46 

46 
46 
46 
46 
46 



i 



i 



II 



(263) 



LOGARITHMS 



OF NUMBERS 



Log. 977. No. 950. 



Log. 999. No. 999. 




ill 



No. 





1 


2 


3 


4 


Diff. 


950 


977724 


977769 


977815 


977861 


977906 


46 


( 951 


978I8I 


978226 


978272 


978317 


978363 


46 


952 


978637 


978683 


978728 


978774 


978819 


46 


953 


979093 


979138 


979184 


979230 


979275 


46 


954 


979548 


979594 


979639 


979685 


979730 


46 


955 


980003 


980049 


980094 


980140 


980185 


45 


956 


980458 


980503 


980549 


980594 


980640 


45 


957 


980912 


980957 


981003 


■ 981048 


981093 


45 


958 


981366 


981411 


981456 


981 501 


981547 


45 


959 


98I8I9 


981864 


981909 


981954 


982000 


45 


960 


982271 


982316 


982362 


982407 


982452 


45 


961 


982723 


982769 


982814 


982859 


982904 


45 


962 


983175 


983220 


983265 


983310 


983356 


45 


963 


983626 


983671 


983716 


983762 


983807 


45 


964 


984077 


984122 


984167 


984212 


984257 


45 


966 


984527 


984572 


984617 


984662 


984707 


45 


984977 


985022 


985067 


985112 


985157 


45 


^ 


985426 


985471 


985516 


985561 


985606 


45 


968 


985875 


985920 


985965 


986010 


986055 


45 


969 


986324 


986369 


986413 


986458 


986503 


45 


970 


986772 


986817 


986861 


986906 


986951 


45 


971 


987219 


987264 


987309 


987353 


987398 


45 


972 


987666 


98771 I 


987756 


987800 


987845 


45 


973 


9881 13 


988157 


988202 


988247 


988291 


45 


974 


988559 


988604 


988648 


988693 


988737 


45 


975 


989005 


989049 


989094 


989138 


989183 


45 


976 


989450 


989494 


989539 


98958^ 


989628 


44 


977 
978 


989895 


989939 


989983 


990028 


990072 


44 


990339 


990383 


990428 


990472 


990516 


44 


979 


990783 


990827 


990871 


990916 


990960 


44 


980 


991226 


991270 


991315 


991359 


991403 


44 


^' 


991669 


991713 


991758 


991802 


991846 


44 


^^ 


9921 I I 


992156 


992200 


992244 


992288 


44 


983 


992554 


992598 


992642 


992686 


992730 


44 


984 


992995 


993039 


993083 


993127 


993172 


44 


985 


993436 


993480 


993524 


993568 


993613 


44 


986 


993877 


993921 


993965 


994009 


994053 


44 


987 


994317 


994361 


994405 


994449 


994493 


44 


988 


994757 


994801 


994845 


994889 


994933 


44 


989 


995196 


995240 


995284 


995328 


995372 


44 


990 


995635 


995679 


995723 


995767 


99581 1 


44 


991 


996074 


9961 17 


996161 


996205 


996249 


44 


992 


996512 


996555 


996599 


996643 


996687 


44 


993 


996949 


996993 


997037 


997080 


997124 


44 


994 


997386 


997430 


997474 


997517 


997561 


44 


995 


997823 


997867 


997910 


997954 


997998 


44 


996 


998259 


998303 


998347 


998390 


998434 


44 


997 


998695 


998739 


998782 


998826 


998869 


44 


998 


999131 


999174 


999218 


999261 


999305 


44 


999 


999565 


999609 


999652 


999696 1 


999739 


43 



No. 



950 
951 
952 

953 
954 

950 
957 
958 
959 

960 
961 
962 

963 
964 

967 
968 
969 

970 
971 
972 

973 
974 



977 
978 
979 

980 
981 
982 

983 
984 

985 
986 

987 

988 



For explanation see pp. 207-215 



.(264) 



977952 

978409 
978865 

979321 
979776 

980231 
980685 
981 139 
981592 
982045 

982497 

982949 
983401 
983852 
984302 

984752 
985202 
985651 
986100 
986548 

986996 

987443 
987890 

988336 

988782 

989227 
989672 
9901 17 
990561 
991004 

991448 
991890 

992333 
992774 
993216 

993657 
994097 

994537 
994977 



990 


995854 


991 


996293 


992 


996731 


993 


997168 


994 


997605 


995 


998041 




998477 


997 


998913 


998 


999348 


999 


999783 



6 



977998 

978454 
978911 

979366 
979821 I 

980276 
980730 
981184 
981637 
982090 

982543 

982994 
983446 

983897 
984347 

984797 
985247 
985696 
986144 

986593 

987040 
987488 

987934 
988381 

988826 

989272 
989717 
990161 
990605 
991049 

991492 

991935 

992377 
992819 

993260 

993701 
994141 
994581 
995021 
995460 

995898 

996337 
996774 

997212 
997648 

998085 
998521 

998956 
999392 
999826 



978043 
978500 

978956 
979412 

979867 

980322 
980776 
981229 
981683 

982135 

982588 
983040 
983491 
983942 
984392 

984842 
985292 

985741 
986189 

986637 

987085 

987532 

987979 
988425 

988871 

989316 
989761 
990206 
990650 
991093 

991536 
991979 
992421 
992863 
993304 

993745 
994185 

994625 
995065 
995504 

995942 
996380 
996818 

997255 
997692 

998129 
998564 
999000 

999435 
999870 



( 

8 


9 


Diflt. 


978089 


978135 


46 


978546 


978591 


46 


979002 


979047 


46 


979457 


979503 


46 


979912 


979958 


46 


980367 


980412 


45 


980821 


980867 


> 45 


98127s 


981320 


45 


981728 


981773 


45 


982181 . 


982226 


45 


982633 


982678 


45 


983085 


983130 


45 


983536 


983581 


45 


983987 


984032 


45 


984437 


984482 


45 


984887 


984932 


45 


985337 ; 


985382 


45 


985786 


985830 


45 


986234 


986279 


45 


986682 


986727 


45 


987130 


987175 


45 


987577 


987622 


45 


988024 


988068 


45 


988470 


988514 


45 


988916 


988960 


45 


989361 


989405 


45 


989806 


989850 


44 


990250 


990294 


44 


990694 


990738 


44 


991137 


991 182 


44 


991580 


991625 


44 


992023 


992067 


44 


992465 


992509 


44 


992907 


992951 


44 


993348 


993392 


44 


993789 


993833 


44 


994229 


994273 


44 


994669 


994713 


44 


995108 


995152 


44 


995547 


995591 


44 


995986 


996030 


44 


996424 


996468 


. 44 


996862 


996906 


44 


997299 


997343 


44 


997736 


997779 . 


44 


998172 


998216 


44 


998608 


998652 


44 


999043 


999087 


44 


999479 


999522 


44 


999913 


999957 


43 



(265) 



LOQARITHMS OF NUMBERS 



\\w 



No. 



I 

2 
3 
4 
5 

6 

I 

9 

10 

II 

12 

13 
14 
15 

i6 



19 

20 

21 
22 

23 

24 

25 
26 



29 
30 

31 
32 

33 

34 
35 

36 

37 

38 

39 
40 

41 
42 

43 
44 
45 

46 

47 
48 

49 
SO 



Log. 



000000 
301030 
477121 
602060 
698970 

778151 
845098 

903090 

954243 
000000 

041393 
079181 

I I 3943 
146128 

1 7609 1 

204120 
230449 

255273 
278754 

301030 

322219 

342423 
361728 
3802 1 1 
397940 

414973 
431364 
447158 
462398 
477121 

491362 
505150 
518514 

531479 
544068 

556303 
568202 

579784 
591065 

602060 

612784 
623249 
633468 

643453 
653213 

662758 
672098 
681241 
690196 
698970 



No. 



51 
52 

53 

54 
55 

56 

57 
58 

59 
60 

• 

61 
62 

63 

65 

66 

67 
68 

69 
70 

71 
72 
73 
74 
75 

76 

77 
78 

79 
80 

81 

82 

83 
84 
85 

86 

U 

89 
90 

91 
92 
93 
94 
95 

96 

97 
98 
99 

ICO 



Log. 



707570 
716003 
724276 

732394 
740363 

748188 

755875 
763428 

770852 
778151 

785330 
792392 

799341 
806180 
812913 

819544 
826075 

832509 

838849 

845098 

851258 

857333 
863323 
869232 

875061 

880814 
886491 
892095 
897627 
903090 

908485 
913814 
919078 
924279 
929419 

934498 
939519 
944483 
949390 

954243 

959041 
963788 
968483 
973128 
977724 

982271 
986772 
991226 

995635 
000000 



No. 

lOI 
102 
103 
104 
105 

106 

108 
109 
110 

III 
112 

"3 
114 

"5 

116 
117 
118 
119 

120 

121 
122 
123 
124 

"5 

126 
127 
128 
129 
130 

131 
132 

133 
134 
135 

136 

137 
138 

139 
140 

141 
142 

143 

144 

145 

146 

147 
148 

149 
150 



Log. 



For explanation see pp. 207-215 



004321 

008600 
012837 

017033 
021 189 

025306 
029384 

033424 
037426 

041393 

045323 
049218 

053078 
056905 
060698 

064458 
068186 
071882 

075547 
079181 

082785 
086360 
089905 
093422 
096910 

00371 
03804 
07210 
10590 

13943 

17271 

20574 
23852 

27105 
30334 

33539 
36721 

39879 
43015 
46128 

49219 
52288 

55336 
58362 
61368 

64353 
67317 
70262 

73186 
76091 



No. 



151 
152 
153 
154 
155 

156 



161 
162 
163 
164 
165 

166 
167 
168 
169 
170 

171 
172 

173 
174 
175 

176 
177 
178 
179 
180 

181 
182 
183 

r64 
185 

186 
187 
188 
189 
190 

191 
192 

193 
194 

195 

196 

197 
198 
199 

200 



Log. 



178977 
181844 
I 8469 I 
187521 
190332 

193125 
195900 
198657 
201397 
204120 

206826 
209515 
212188 
214844 
217484 

220108 
222716 

225309 
227887 
230449 

232996 
235528 
238046 
240549 
243038 

245513 

247973 
250420 

252853 

255273 

257679 
260071 
26245 ^ 
264818 
267172 

269513 
271842 

274158 

276462 

278754 

281033 
283301 

285557 
287802 
290035 

292256 
294466 
296665 
298853 
301030 






LOGARITHMIC TABLES 

OF 

COMPOUND INTEREST AND ANNUITIES 

BY 

FEDOR THOMAN 



(266) 



/. 



TABLE I. 

SHOWING 

(A) The Logarithms of the Amount of ^i at the end of any 

number of years from i to 100 years. 

Log /^. 

(B) The Logarithms of the Annuity ^<z per annum which ^1 

will purchase for any number of years from i to 100 
years. 

Log a". 

m 

In the notation used in the explanation on pages 216-228, 
the symbol (1 + /)" is employed instead of M. Thoman's symbol 

r\ and — instead of his symbol a\ 



«i 



For explanation see pp. 216-228 



(267) 



Q 



COMPOUND INTEREST AND ANNUITIES 



4 






H 



Table 1. Shewing: Ist Logarithm 
of the amount of £l. at the end of 
any number of years. 



\ 2nd the Logaritlun of the anniiity 
Q £a. per annum which £l. will pur- 
*" chase for any number of years. 



Years 



I 

2 

3 
4 

i 



r, Log. r". 



9 

lO 

II 

12 

'3 
M 

\i 
\l 

19 
20 

21 

22 

23 
24 

25 
26 

27 
28 

29 
30 

31 

32 

33 

34 

3 

3 

37 

39 
40 

41 
42 

43 
44 



.4 



49 
SO 



0,002 1 6'6i 
0,00433-21 
0,00649*82 
0,00866-42 
0,0108303 
0,01299*64 
0,01516*24 
0,01732*85 
0^01949*46 
0,02166-06 

0,02382*67 
0,02599-27 
0,02815-88 
0,03032-49 
0,03249-09 

o.o34f>5*7o 
0,03682*30 

0,05898-91 

0,04115-52 

0.04332*12 

0,04548*73 
0,04765-34 
0,04981*94 
0,05198-55 

0,05415-15 
0,05631-76 
0,05848-37 
0,06064-97 
0,06281-58 
0,06498-19 

0,06714*79 

0,06931*40 
0,0714800 
0,07364-61 
0,07581-22 
0,07797-82 
0,08014*43 
0,08231*03 
0,08447*64 
0,08664*25 

0,08880-85 
0,09097*46 
0,09314*07 
0,0953067 
0,09747*28 
0,09963*88 
0,10180-49 
0,10397-10 
0,10613*70 
0,10830*31 



Log. a" 



0,00216*61 
9,70221*77 
9,52720-73 

9' 40334 •04 
9.30751*74 

9,22941*43 

9,16354*47 

9,10662*90 

9,05655 18 

9,01186-88 

8.97«M-97 
8.934^3-38 
8,901 r4-35 
8,8700297 
8,84113-64 
8,81417-67 
8.78891-61 

8.76s»S-97 
8, 742 7450 
8,72i53-4' 

8,70140*94 
8,68226-97 
8,66402-73 
8,64660*57 
8,62993*79 
8,61396-47 

8,59863-34 
8,58389-75 

8,56971-49 
8,55604*81 

8.54286*33 
8,53012-96 

8,51781-95 
8-50590-74 

8.4943703 
8,48318*69 

8,4723378 
8,46180*52 
8,45157-26 
8,44162*47 

8,43194-75 
8,42252*77 

8,41335-33 
8,40441*31 

8,39569-62 
8,38719-30 
8,37889*42 

8,37079-" 
8,3628757 
8,35514-03 



Log. a" 



8,34757*77 
8,34018*12 

8,33294-45 
8,32«;86*i6 
8,31892-67 
8,31213*45 

8,30547-99 
8,29895-81 

8,29256*45 
8,28629*48 

8,28014*49 
8,27411*08 
8,26818-87 
8,26237*52 
8,25666*70 
8.2510605 

8,24555-30 
8.24014*12 
8,23482-25 
8,22959-42 

8,22445-35 
8,21939-82 
8,21442-58 
8*20953*39 
8,20472*05 

8,1999833 
8,1953205 

8,19073*01 
8,18621-02 
8,1817589 

8,17737-46 
8,17305-56 
8,1688004 
8,16460*73 
8,16047*48 
8, 15640- 1 6 
8,15238*61 
8,14842*72 

8>i44Si-35 
8,14067*37 

8,13687-67 

8,13313*12 
8,12943*61 
8,12579-04 
8,12219-29 
8,11864-27 
8»ii5i3*86 
8,11167*99 
8,10826-55 
8,1048945 
7,69897*00 



For explanation see pp. 216-228 



Log. r". 



0,11046*91 
0,11263*52 
0.1148013 
0,11696*73 
0,11913-34 
0,12129-95 
0,12346-55 
0,12563*16 
0,12779-76 
0,12996-37 

0,13212*98 

0,13429-58 

0,13646- 19 

0,13862-80 

0,14079-40 

0,14296-01 

0,14512-61 

0,14729*22 

0,14945-83 
0,15162*43 

0,15379*04 
0,1559564 
0,13812-25 
0,1602886 
0,16245-46 
0,16462*07 
0,16678-68 
0,16895-28 
0,17111-89 
0,17328-49 

0,17545-10 
0,17761*71 

0,1 7978*31 
0,18194-92 

0,18411-52 

0,18628*13 

0,18844-74 

0,19061*34 

0,19277*95 
0,19494*56 

0,19711*16 

0,19927*77 

0,20144*37 

0,20360-98 

0,20577-59 

0,20794-19 

0,21010*80 

0,21227-41 

0,21444-01 

0^21660*62 



Years 

51 

52 
53 
54 

56 

5 

I 

61 
62 
63 
64 
65 
66 

67 
68 

69 
70 

7« 

72 
73 
74 

7' 

77 

78 

81 
82 

83 
84 

1^ 

87 
88 

89 
90 

9U 

92 

93 

94 

95 

96 

97 

98 

99 
100 
Perpi 



(269) 



02 



w 


T 


\ 1 

1 '. ll 


1 


i ' i 


: 


1 







I V 



LOGARITHMIC TABLES OF 



Per Cent. 



Years 


Log. r-. 


Log. a". 


Log. o". 


Log. f. 


Yean 


I 


0,00432 14 


0,00432-14 


8,4001^-73 
8,30368-10 
8,38738-20 


0,22039-01 


5' 


a 


0,00864-27 


9,70544-67 


0,22471-14 


52 


3 


0,01296-41 


9.53150-71 


0,22903-28 


53 


4 


0,01728-55 
0,02160-69 


9,40871-66 


8,38123-39 


0,23335-42 


54 


i 


9.31395-" 


8,37523-13 
8,3693688 


0,23767-56 


55 


0,0259282 


9,23691-09 


0,2419969 


56 


I 


0,0302496 


9,1721014 


8,36364-13 
8,35804-40 


0,24631-83 


H 


0.03457*10 
0,03889-24 


9,11624-34 


0,25063-97 
0,2549611 


58 


9 


9,0672210 


8,35257-23 


^ 


lO 


0,04321-37 


9,02359-02 


8,34722-17 


0,25928-24 


II 


0,0475351 


8,98432-06 


8,34108-82 
8,33686-80 


0,26360-38 


61 


12 


0,05185-65 


8,94865-15 


0,26792-52 
0.27224-65 


62 


»3 


0,05617-79 
0,06049-92 


8,91600-53 

8,88593-30 
8,85807-85 


8,33385-73 


P 


M 


8,32695-27 


0,2765679 
0,28088-93 


64 


IS 


0,0648206 


8,32215-04 


U 


i6 


0,06914-20 


8,83215-49 


8,31744-74 
8,3128406 


0,28521-07 


'2 


0,07346-34 


8,80792-76 


0,28953-20 


^ 


i8 


0,07778-47 
0,08210-61 


8,78520-21 


8,3083270 


0,29^85-34 
0,29817-48 


19 


8,76381-54 


8,30390-41 


69 


20 


0,08642-75 


8,7436298 


8,29956-87 


0,3024962 


70 


21 


0,0907488 


8,7245277 


8,29531-85 


0,30681-75 
0,31113-89 


71 


22 


0,09507-02 


8,70640-81 


8,29115-10 


72 


23 


0,09939-16 


8,68918-31 


8,28706-38 


0,3154603 


73 


24 


0,10371-30 


8,67277-62 


8,28305-45 


0,31978-17 


74 


^^ 


0,10803-43 


8,6571204 


8,2791212 


0,32410-30 


7| 


0,11235-57 


8,6421565 


8,27526-16 


0,32842-44 


76 


IJ 


0,11667-71 
0,12099-85 
0,12531-98 


8,62783-20 


8,27147-36 


0,33274-58 


11 


8,61410-00 


8,26775-54 


0,33706-72 
0,3413885 


29 


8,60091-87 


8,26410-51 


g 


30 


0,12964-12 


8,5882506 


8,26052*10 


0,3457099 


.»» 


0,13396-26 


8,5760617 


8,25700-14 


0,35003-13 


81 


3- 


0,13828-40 


8,56432-14 


8,25354-42 


0,35435-27 


82 


33 


0,14260-53 


8,5530010 
8,54207-78 


8,25014-80 


0,35867-40 


S^ 


34 


0,14692-67 


8,24681-18 


0,3629954 
0,36731-68 


84 


'^ 


0,15124-81 


8,53152-59 


8,2435336 


u 


0,15556-95 
0,1598908 


8,52132-52 


8,24031 -21 


0,37163-81 


% 


8,51145-62 


8,23714-56 


0,37595-95 


u 


0,16421-22 


8,5019010 


8,23403-34 


0,38028-09 


39 


0,16853-36 


l■J^■r^ 


8,2309739 


0,38460-23 


89 


40 


0,17285-50 


8,22796-52 


0,3889236 


90 


41 


0,17717-63 
0,18149-77 


8,47495-92 


8,22500-72 
8,22209-81 


0,39324-50 
0,39756-64 


91 


42 


8,46650-62 


92 


43 


0,18581-91 


8,4582959 


8,21923-68 


0,40188-78 


93 


44 


0,1901404 
0,19446-10 


8,45031 70 


8,21642-22 
8,21365-35 


0,40620-91 


94 


i? 


8,44255-89 


0,41053-05 


'4 


0,19878-32 > 


8,43501-17 


8,21092-03 


0,41485- 19 


% 


0,20310-46 


8,4276663 


8,20824-89 


0,41917-3.3 


H 


0,20742-59 


8,42051-42 


8,20561-13 


0,42349-^6 
0,42781-60 


98 


49 


o,2ii74-73 
0,21606*87 


8,41354-69 
8.40675-69 


|,203oi-53 


99 


50 


8 20046-04 


0,43213*74 


100 








8,00000-00 




Pcrp. 



For explanation see pp. 216-228 



(270) 



COMPOUND INTEREST AND ANNUITIES 



X ^^ ^*°^ 



Years 



I 
2 

3 
4 

I 

9 

10 

II 
12 
«3 
»4 

\l 
\l 

19 

20 



i 



21 
22 

23 

24 
2 

2 

2 

2 

29 

30 



31 

32 

33 
34 

39 
40 

41 
42 
43 
44 

% 

49 
SO 



Log. r". 



0,00646-60 
0,01293-21 
0,01939-81 
0,02586-42 
0,0323302 
0,03879-63 
0,0452623 
0,05172-83 
0,05819-44 
0,06460-04 

0,07112-65 
0,0775925 
0,08405-85 
0,09052-46 
0,09699-06 
0,10345-67 
0,10992-27 
0,1163888 
0,12285-48 
0,12932-08 

0,1357869 
0,14225-29 
0,14871-90 
0,15518-50 
0,16165-11 
0,16811-71 

0,17458-31 
0,18104-92 

0,18751-52 

0,19398-13 

0,20044-73 
0,2069 1-34 

0,2133794 
0,21984-54 

0,22631-15 

0,23277*7.5 
0,23924-36 

0,24570-96 

0,2521 7 56 

0,2586417 

0,26510-77 

0,27157-38 
0,27803-98 
0,28450-59 
0,29097-19 

0,29743 79 
0,3039040 
0,31037-00 
0,31683-61 
0,3233021 



Log. a". 



0,00646*60 
9,70865-71 

9> 53577 -87 
9,41404-49 

9.32033-19 
9,24433-95 

9,18057-36 

9,12575*45 
9,07776-69 

9,03516-62 

8,99692-23 
8,96227-45 

8,93064*52 
8,90158-54 

8,87473-89 
8,84981*90 
8,826«;9-o8 
8,80486*00 
8,78446-37 
8,76526-42 

8,74714*37 
8,73000-10 

8,7137488 

8,69831-03 

8,68361 84 

8,66961-41 

8,65624-46 

8,64346-33 

8,63122-84 

8,61950-22 

8,60825-10 

8,59744*40 

8,58705-33 

8,57705*37 
8,56742-20 

8,55813*71 
8,54917*95 
8,54053-14 
8,53217-62 
8,52409-87 

8,51628-40 
8,50872-18 
8,50139-68 
8,4942990 

8,48741-78 
8,48074-32 

8,47426-61 

8,46797-79 
8,46187-03 

8,45593*57 



Log. a" 



8,45016*73 
8,44455*80 
8,43910*15 

8,43379*19 
8,42862-34 

8,4235909 

8,41868*90 

8,41391*32 
8,4092587 
8,40472-13 

8,40029-69 

8,3959815 
8,.?9i 77*13 
8,38766*27 

8,38365*27 
8,37973*78 
8,3759^-50 
8,37218-13 
8,.36853-40 
8,36497*01 

8,36148-74 
8,35808-32 

8,35475*53 
8,35150*12 

8,34831-89 
8,34520-62 
8,34216-13 
8,33918-21 
8,33626-68 
8,33341-34 

8,33062-05 
8,32788-65 
8,32520-05 
8,32258-81 
8,32002-07 
8,31750-61 
8,31504-28 
8,31262-96 
8,31026-49 
8,30794-79 

8,30567 -7 » 
8,.30345-i4 
8,30126-97 
8,29913-08 
8.29703*39 
8,29497-78 
8,29296-14 
8,29098-41 
8,28904*46 
8,28714-24 
8,17609-13 



Log. r*. 



0,32976*82 

0,33623-42 
0^34270*02 
0,34916-63 

0,35563*23 
0,36209*84 

0,36856-44 

0,3750304 
0,3814965 

0,38796*25 

0,39442-86 
0,40089*46 
0,4073607 
0,41382*67 
0,42029-27 
0,42675-88 
0,4332248 

0,43969-09 
0,44615-69 

0,45262-30 

0,45908-90 

0,46555*50 
0,47202-11 
0,47848*71 
0,48495-32 
0,49141-92 
0,49788*52 

0,50435*13 
0,51081-73 

0,51728-34 

0,52374*94 
0,5.^021-55 

0,53668- 15 

0,5431475 
0,54961-36 
0,5560796 

0,56254*57 
0,56901*17 

0,57547*78 
0,58194*38 

0,58840-98 

0,59487-59 
0,601 34- 19 
0,60780-80 
0,61427-40 
0,62074-01 
0,62720-61 
0,63367-21 
0,64013-82 
0,64660-41 



Vears 

51 

52 
S3 

54 

5^ 

5 

60 

61 

62 

63 
64 
6s 
66 

67 
68 

69 
70 

71 

72 
73 
74 

M 

/ 

7' 

II 

79 

80 

81 
82 

93 
84 

u 

89 

90 

9» 
92 
93 
94 

95 
96 

97 
98 

99 
100 
Perp. 



II 



(271) 



LOGARITHMIC TABLES OF 



COMPOUND INTEREST AND ANNUITIES 



li 1 



% 


1 


8 PerCtBt. 








Years 

I 


Log. f. 


Log. <r. 


Log. a*. 


Log. »-. 


Yean 


0,0070006 


0,00700 06 


8,46228- 76 


0,35702-85 


51 


2 


0,01400-11 


9.70945-67 
9,53684-22 


8,45687-59 
8,45161*58 


0,36402-90 


52 




3 


0,02100-17 


0,3710296 


Si 




4 


0,02800*22 


9»4^';37'09 


8,44650*12 


0,37803*02 


54 




i 


0,03500-28 


9,32191-89 


8,44152*64 


0,38503-07 


% 




0,04200-34 


9,24618*62 


8,4366864 


0,39203-13 




I 


0,04900-39 


9,18267-86 


8,43197-57 


0,39903*18 


% 




0,05600-45 


9,12811-63 


8,42738-97 


0,40603*24 




9 


0,06300*50 


9,08038*42 


8,42292-39 
8,41857-38 


0,41303*30 


^ 




lO 


0,0700056 


9'038o3-76 


0,42003*35 




' 11 


0,07700-61 


9,00004*66 


8,41433-55 


0,42703-41 


61 




12 


0,08400-67 


8,96565-04 


8,41020-47 


0,43403-46 


62 




'3 


0,09100-73 


8,93427-09 


8,40617-81 


0,44103-52 


63 




M 


0,09800-78 
0,10500-84 


S'9°545-97 


8,40225*20 


0,44803-58 


64 




«5 


8,87886-05 


8,3984230 


0,45503-63 


65 




i6 


0,11200-89 


8,8541864 


8,39468-79 


0,4620369 


66 




\l 


0,11900-95 


8,83120-29 


8,39104-37 


0,46903-74 
0,47603*80 
0,48303*85 


% 




0,1 2601 01 


8,86971-52 


8,3874873 




•9 


0,13301-06 


8,7895607 


8,38401 59 


69 




20 


0,14001*12 


8,77060-16 


8,3806269 


0,49003*91 


70 




21 


o,i47oi'i7 


8,75272*00 


8,37731*79 


0.49703-97 


71 




11 


0,15401*23 


8,73581-5' 


8.3740861 


0,50404*02 


72 




23 


0,16101-28 


8,71979-91 


8,37092-93 
8,36784-5 • 


0,51104*08 


73 




24 


0,16801-34 


8,70459-55 


0,51804-13 


74 


• 


25 


0,17501-40 


8,69013-73 


8,36483-15 


0,52504-19 


75 




26 


0,18201-45 


8,67636-51 


8,3618864 


0,53204*25 


76 




!^ 


0,18901-51 


8,6632265 


8,35900-78 


0,5390430 


\l 




0,19601-56 


8,650^)7-47 


8,35619-36 


0,54604-36 




29 


0,20301-62 


8,63866-80 


8,35344-23 


0,55304-41 
0,56004-47 


g 




30 


0,21001-68 


8,62716-86 


8,35075-18 




31 


0,21701-73 


8,61614-29 


8,3481205 


0.56704*52 


81 




32 


0,22401-79 


8.6055599 


8,34554-67 


0,57404-58 
0,58104*64 


82 




Zi 


0,23101*84 


8. 59539- 20 


8,34302*89 


83 




34 


0,23801-90 


8,58561-38 


8,34056-55 


0,58804*69 


84 




^^ 


0,24501-96 


8,57620*21 


8*33815-50 
8.33579-60 
8,3334874 


0,59504*75 
0,60204*80 


^ 




36 


0,25202-01 


8.56713*59 
8,55839-57 




^J 


0,25902-07 


0,60904-86 


1 




0,26602-12 


8,5499637 
8,54182-32 


8,331 22 -74 


0,61604-92 




39 


0,27302-18 
0,28002-23 


8,32901-50 


0,62304-97 


89 




40 


8,S33959» 


8,32648-89 


0,63005-03 


90 




41 


0,28702-29 


8,5263574 


8,32472-80 


0,6370508 


91 




42 


0,29402-35 


8,5190048 


8,32265*12 


0,64405-14 


92 




43 


0,30102*40 


8,51188-94 


8,32061 7a 


0,6510519 


93 




44 


0,30802-46 


8,50499-97 


8.31862-48 


0,65805 25 


94 




^1 


0,3150251 


8,49832-51 


8,31667-34 


0,66505*31 


95 




46 


0,3220257 


8.49185-59 


8,31476 15 


0,6720536 


96 




% 


0,32902-63 


8,4855^-30 


8,3128883 


0,6790542 
0,68605-47 


97 




0,3360268 


8,4794975 


8,3110532 


98 




49 


0,34302-74 


8,47359-15 


8,30925*47 


0,69305-53 


99 




fP 


0,35002-79 


8.46785*72 


8,3074923 


0,70005-59 


100 




1 




8,21085*34 




Perp. 





For explanation see pp. 216-228 



(272) 



Yean 



a 

3 

4 

5 
6 

I 

9 
10 

11 
12 

13 
'4 
15 
16 

'7 
18 

'9 
20 

21 

22 

23 

24 
2 

2 

^ 

29 
30 

31 
32 

33 
34 

% 

3 

39 
40 

4» 
42 
43 

44 
45 
46 

% 
49 
50 



3 

4 



Per Cent. 



Log. r". 



0,00753*44 
0,01506-88 
0,02260-33 
0,03013*77 
0,03767*21 
0,04520*65 
0,05274*09 
0,06027*53 
0,06780-98 
0,07534*42 

0,0828786 
0,09041-30 
0,09794-74 
0,10548-19 
0,11301-63 
o, 1 2055-07 
0,12808-51 

0,13561-95 
0,14315-39 
0,15068-84 

0,15822-28 

0,1^575-72 
0,17329-16 
0,18082*60 
0,18836*04 
0,19589*49 
0,20342*93 
0,21096*37 
0,21849-81 
0,22603*25 

0,23356-70 
0,24110-14 
0,24863*58 
0,25617-02 
0,26370*46 
0,27123*90 
0,27877*35 
0.28630*79 
0,29384*23 

0,30137-67 

0,30891*11 
0,31644*56 
0,32398*00 

0,33151*44 
0,33904*88 

0,3465832 
0.35411*76 

0,3616? -21 
0,3691865 
0,37672*09 



liOg. a* 



0,00753*44 
9.71025*53 

9.53790-40 
9,41669*43 
9.32350*26 
9,24802*86 
9,18477-83 
9,13047*18 
9,08299*40 
9,04090-03 

9,00316*04 
8,96901*39 
8,93788-29 
8,90931-86 
8,88296*48 

8,85853-47 

8,83579*35 
8,81454-67 

8.79463-17 
8.7759104 

8,75826*56 

8,74159*57 
8,72581-33 
8,71084-18 

8,(»966i*43 
8,68307*13 
8,67016*03 
8,65783*49 
8,64605*30 
8,63477-70 

8,62397*31 
8,61361-06 
8,60366*17 
8,59410*10 

8,58490*54 

8,57605*41 

8,56752*71 
8.55930-68 

8,55137-67 
8,54.?72*i6 

8.53632-73 
8,52918-09 

8.52227*03 

8,5 1 558-38 
8,50911*12 
8,50284-25 
8.49676*86 
8.4908808 
8,48517*10 
8,47963*16 



Log. or 



8,47425*55 
8,46903*59 
8,4639664 
8,45904-12 
8,45425-46 
8,44960-11 

8,44507-55 
8,44067*34 
8,43639*01 
8,43222-12 

8,42816*25 
8.42421*04 
8,42036*10 
8.41661*07 
y.41 29562 

8,40939*42 
8,40592*18 

8,40253*58 

8,.S9923*37 
8,39601*25 

8,30287*02 

8,38980*37 
8,:}868i*o8 
8,38388-95 

8,38103-74 
8,37825-25 
8.37553*26 
8.37287-63 
8,37028*14 

8,36774*59 

8.36526-83 
8,36284*73 
8.3604809 
8.35816*78 
8,35590-63 

8.35369*49 
8,35 '53-28 
8.34941-82 

8,34734-99 
8,34532-67 

8,34334*75 
8,34141*12 

8,33951*65 
8.33766-23 

8,33584-77 
8,33407-18 
8,332.^3-34 

8,330^ri9 
8,32896-56 

8.32733-42 
8,14303-80 



Log. r*. Ywra 



0,38425*53 
0,39178-97 
0,39932*4' 
0,4068586 

0,41439*30 
0,42192*74 
0,42946-18 
0,4369962 
0,44453-07 
0,45206*51 

0,45959-95 

0,467 13*.^9 
0,4746683 

0,48220-27 

0,48973*72 
0,49727-16 
0,50480*60 
0,51234*04 
0,51987*48 

0,52740-93 

0,53494-37 
0,54247*81 

0,55001-25 

0.55754-69 
0,56508- 13 
0,57261-58 
0,58015-02 
0,58768-46 
0.59521*90 
0,60275*34 

0,61028-78 
0,61782*23 
0,625*5*67 
0,63289*11 
0,64042*55 

0.64795*99 
0,65549-44 
0,66302-88 
0,67056-32 
0,67809*76 

0,68563*20 
0,69316*64 
0,70070*09 
0,70823*53 

0,71576*97 
0.72330-41 
0,7308385 

0,73837-30 
0,74590-74 
0,75344-18 



5« 

52 
53 
54 

5^ 

5 

59 
60 

61 
62 
63 
64 

69 
70 

71 

72 
73 
74 



81 
82 

83 
84 

1^ 

1^ 

89 
90 

91 
92 

93 

94 

95 
9b 

97 
98 

99 
100 
Perp 



(273) 



LOGARITHMIC TABLES OF 



ill 




"Yftars 
1 

2 

3 
4 

i 



I 

9 

lO 

II 

12 

«3 

:^ 

20 

21 
22^ 

24 

li 

29 
30 

31 
32 

33 
34 

I? 

39 

40 

41 

42 

43 
44 

% 

49 
50 



Log. r". 

0,0080676 
0,01613-52 
0,02420-29 
0,03227-05 
0.0403381 
0,04840-57 

o,o5647'34 
0,06454-10 

0,0726086 
0,08067 62 

0,08874-38 
0,09681*15 
0,10487-91 
0,11294-67 
0,12101-43 
0,1290819 

0,137 Hgd 
0,14521-72 
0,15328-48 

o> 1 6135 -24 

0,16942-01 
0,17748-77 

o,«8S5S-S3 
0,19362-29 
0,20169-05 
0,20975-82 
0,21782-58 
0,2258934 
0,23396- 10 
0,24202 87 

0,25009-63 
0,25816-39 
0,26623-15 
0,27429-91 
0,28236-68 
0,29043-44 
0,29850-20 
o,3<''656-96 

0,31463-72 
0,32270-49 

o,33077'as 
0,33884-01 

0,3469077 

0^35497-54 
0,36304-30 
0,37 1 II 06 
0,37917-82 
0,38724-58 

0,39531-35 
0.40338- 1 1 



1 ^ 

1 A 



8 Per Cent. 



hog. 



0,00806*76 
9,7iio<-27 

9..'^3896-40 
9,41801*54 
9,32508-31 
9,2498669 
9,18687-27 
9,13282-10 
9.08559-62 
9,04375-38 

9,00626-40 

8,97236-58 
8,94148-14 
8,91316*21 
8,88705-19 
8,86286-36 
8,84036-28 

8.81935-49 
8,79967-69 
8,78119-14 

8,7637805 

8> 74734-31 
8.73179*16 
8,71704*94 
8,70304-95 
8,68973-27 
8,6770465 
8,66494-41 
8,65338-36 
8,64232*76 

8,63174*21 
8,62159-65 
8,61 186-28 
8,60251*60 



8,58^*19 

8,57657-41 
8,56856-14 

8,56083*74 
8,55338-71 

5.54619-59 
8,53925-09 
8,53254-01 
8,52605-23 

8,51977-69 

8*51370-37 
8,50782-39 

8,50212-85 
8,49660-98 
8,4912601 



i 



Log. a". 



8,48607*21- 

8,48103-92 

8,47615-50 

8.47»4i-35 
8,46680*90 

8,46233-64 

8,45799-04 
8,45376-62 

8,44965-94 
8,44566*57 

8,4417808 
8,43800*08 
8,43432-22 

8,43074-13 

8,42725-47 

8,42385-95 
8,42055*23 

8.41733-03 
8,41419*08 
8,41113-08 

8,40814-80 
8,40524-00 
8,40240-42 
8,39963-85 
8,3969407 
8,39430-88 
8,.^9i74-o8 

8,38923-47 
8,38678*87 

8,38440-11 

8,38207*02 

8,37979-41 
8.37757-16 
8,37540-09 
8,37328-06 
8,37120*95 
8,36918*60 
8,3672089 
8,36527-70 
8,36338-88 




8.35130-6^ 
8,34072-08 
8,34818-80 
8,.;j4667*98 
8,27300*13 



Log. f-. 



0,41 144-87 
0*4195 » 63 
0,42758*40 
0,43565-16 

0,44371-92 
0,45178-68 

0.45985-44 
0,46792*21 

0,47598-97 
0,4840573 

0,49212*49 
0,50019*25 
0,50826-02 
0,51632-78 

0,52439-54 
0,53246-30 

0,54053-07 
0,5485983 
0,55666*59 

0.56473-35 
0,57280-11 
0,58086-88 
0.58893*64 
0.59700-40 
0,60507*16 
0,61313-92 
0,62120*69 
0,62927*45 
0,63734*21 
0,64540*97 

0.6534774 
0,66154*50 

0,66901-26 
0,67768-02 
0.68574-78 
0,69381-55 
0,70188*31 

0,70995-07 
0,71801*83 
0,7260860 

0,73415-36 
0,74222*12 
0,75028-88 

0.75835-64 
0,76642-41 

0,77449-' 7 
0,7825593 

0,79062-69 
0,79869*45 
0,80676-22 



For explanation see pp. 216-228 



(274) 



Yean 



52 

53 
54 

li 
II 

59 



61 
62 

63 
64 

69 

70 

7« 

72 

73 

74 



81 
82 

2^ 
89 

90 

9» 
92 
93 
94 

99 

100 

iPerp. 



m 



COMPOUND INTEREST AND ANNUITIES 



Per Cent. 



Yean 



1 

2 

3 
4 

i 
I 

9 
10 

II 
12 
»3 
M 

\l 
% 

19 
20 

31 
22 

23 

24 



Log. f*. 



29 

30 

31 
32 
33 
34 

3 
3 

39 

40 

41 
42 
43 
44 
4 



49 

50 



o,oo86o*o« 
0,01720*03 
0,0258005 
0,03440*07 
0,0430009 
0,05160*10 
0,06020-12 
o,o688o'i4 
0,07740-15 
0,08600-17 

0,09460*19 
0,10320-21 
0,11180-22 
0,12040*2^ 
0,12900*20 
0,13760*27 
0,14620*29 
0,15480*31 
0,16340*33 
0,17200-34 

0,18060-36 
0,18920-38 
0,19780-40 
0,20640*41 
0,2^1500*43 
0,22360*45 
0,23220-46 
0,24080*48 
0,24940-50 
0,25800*52 

0,26660*53 
0.27520*55 
0,28380*57 
0,29240-58 
0,30100*60 
0,30960*62 
0,31820*64 
0,33680*65 
0,33540*67 
0,34400-69 

0,35260*70 
0,36120-72 
0,36980*74 
0,37840-76 
0,38700-77 

0,39560*79 
0,40420-81 
0,41280-82 
0,42140-84 
0,43000-86 



Log. a\ 



0,00860-02 
9,71184-90 
9,5400223 

9.41933-40 
9,3266602 
9,2(5170-10 
9,18896-21 
9,13516*38 
9,08819*08 
9,04659*87 

9,00935*71 
8.97570-56 
8,94506*63 
8,01699*05 
8,89112-17 
8,86717-35 
8,84491 '09 
8,82413-95 
8,80469-66 
8,78644-42 

8,76926-48 

8,75305-73 
8,73773-40 
8,72321*83 

8,70944-33 

8,6963497 
8,68388-50 

8,67200-24 

8,66066-02 

8,64982-07 

8,63945*01 



Log. a" 



8,62951*77 

>'58 

8,61685*89 



8,61999- 



8,60208-40 

8,59364-99 
8,58553-72 
8,57772*80 
8,57020-59 
8.56295-56 

8.55596-32 

8,54921-53 
8,5427002 

8,53640-61 

8,53032-30 
8,5244406 

8,51874-97 
8,51324-20 

8,50790-93 
8,50274-40 



8,49773*88 

8,49288*73 

8.48818-28 

8,48361-96 

8,47919-18 

8,4748944 
8,47072-20 

8,46607-00 

8,46273-38 

8,45890-93 

8,45519-19 
8,45157-82 
8,44806-42 
8,44464-66 
8,44132*18 
8,43808*68 
8,43493-85 
8,431-87-38 
8,42889-01 

8,4259847 

8,42315-50 
8,4203986 

8,41771-31 
8,4150963 

8,41254*59 
8,41006*01 

8,40763*67 

8,40527-39 
8,40296-99 

8,40072*29 

8.39853*" 
8,3963929 

8,3943069 
8,39227*14 
8,39028*51 

8,38834-65 
8,:t8645*44 
8,3846072 
8,38280*38 
8,38104-31 

8,37932-39 
8,37764-48 
8.37600-50 

8.37440-34 
8,37283-88 

8,37131-04 
8,36981*72 
8.368.S5-82 
8,36693*25 

8,36553-93 
8,30103-00 



Log. r". 



0,4386088 
0,44720-89 

0,45580*91 
0,46440-93 
0,47300-94 
0,48160-96 
0,49020-98 
0,49881-00 
0,50741-01 
0,5160103 

0,52461*05 
0,53321-07 
0,54181*08 
0,55041-10 
0,55901*12 

0,50761-13 
0,57621*15 

0,58481*17 
0.59341-19 

0,60201 *20 

0,61061 *22 
0,61921*24 
0,62781-25 
0,63641*27 
0,64501*29 
0,65361*31 
0,96221*32 
0,67081*34 
0,67041*36 
0,68801*37 

0,69661 -39 
0^70521-41 
0.71.^81*43 
0,72241*44 
0,73101-46 
0,73961-48 
0,74821*49 

0,75681 51 
0,76541-53 

0.77401 55 

0,78261*56 
0,79121*58 
0,79981*60 
0,80841-61 
0,81701-63 
0,82561 65 
0,83421*67 
0,84281-68 

0,85141-70 
0,86001*72 



Yean 

S» 

5« 
53 
54 

1^ 

60 

61 
62 

69 

70 

71 

72 
73 

u 



81 
83 

IS 

89 
90 

9> 
92 
93 
94 

99 

100 
Perpi 



li 



il 



(275) 



rT 



I '' 



! 



'■ ' 1 



III 



Years Log. r". 



1 

2 

3 
4 

i 
I 

9 

lO 

11 

12 

»3 
»9 

20 

21 
22 

23 
24 

2 

2 



29 

30 
31 

32 

33 
34 
3 

I 

39 
40 

41 
42 
43 
44 

49 
SO 



o,oo9i3-2i 
0,01826*41 
0,02739-62 
0,0365283 
0,04566-03 
o>05479-24 
0,06392-45 
o>o7305'66 
0,0821886 
0,0913207 

0,10045-28 
0,10958-48 
0,11871-69 
0,12784-90 
0,13698-10 
0,14611-31 
o>>S524S2 
0,1^3773 

O' '7350-93 
!64'i4 



o,i82( 



'>.»9i77-3S 
0,20090-55 

0,21003-76 
0,21916-97 
0,22830-17 
0,23743-38 
0,2465659 
0,25569-79 
0,2648300 
0,27396-21 

0,28309-42 
0,29222*62 

0,3013583 
0,31049*04 

0,31062-24 

o,32»75-45 
0,33788*66 
0,34701*86 
0,3561507 
0,36528-28 

0,3 744 » -48 

0,38354-69 
0,39267-90 
0,40181-11 
0,4 '094*31 
0,42007*52 
0,42920-73 

0,4383393 

o,44747*»4 
0,45660-35 



LOGARITHMIC TABLES OF 



24 



1 

8 



Per Cent. 



Log. a". 



0,00913-21 
9,71264*41 
9,54107*89 
9,42065-01 
9.32823*42 
9.25353-10 
9,19104*63 
9,>3750-04 
9,09077 79 
9^04943 46 

9,01244*01 

8.97903-37 
8.04863-78 
8.02080-35 
8,89517-46 
8.87146*43 

8,«4943-79 
8,82890-09 

8,80969*06 

8,79166*90 

8,77471 -88 

8,75873-85 
8,74364-08 

8,7293489 

8,71579-57 
8,70292*24 

8,69067-61 

8,67901-02 

8,66788*30 

8,65725*67 

8,64709-75 

8,63737-48 
8,62806-09 
8,6191302 
8,6105600 
8,60232 -86 
8,59441-70 
8,58680-73 
8,5794828 
8,57242-85 

8,565^3-03 
8,55907-50 
8,-5527508 
8,54664-60 

8,54075-03 
8,53505-.^8 

8,52954-74 
8,52422-22 

8.S«907-os 
8.51408-44 



Log. a*. 



8,50925-70 
8,50458-14 
8,50005*14 
8,49566-10 
8,49140-45 
8.48727-66 
8,48327-23 
8,47938-67 

8,47561-55 
8,47195-41 

8,46839-85 
8,46494*50 
8,46158-98 

8,4583292 
8,4551600 

8,45207-90 
8,44908-33 
8,44616-96 

8,4433355 
8,44057*81 

8,43789-50 
8,43528-36 

8,43274-17 
8,43026*70 

8.42785-75 
8,42551-09 

8,42322-54 

8,42099*91 

8,4188300 

8,41671 -66 

8,41465-70 
8,41264-97 
8,410^)9-32 
8,40878-59 
8,4069263 

8,40511-31 
8,40334-50 
8,40162*05 
8,39903-86 

8,39829-79 

8,39669-74 

8,39513-59 
8,39361-23 

8,39212*54 

8.30067-46 

8.^8925-85 

8.38787-63 

8,38652*73 

8,38521-04 

8,.38302-4^ 

8,32735-89 



For explanation see pp. 216-228 



(276) 



Log. r". 



0,46573 
0,47486 

0,48399 
o,493'3 
0,50226 

0,51139 
0,52052 

0,52066 

0,53879 
0,54792 

0,55705 
0,56618 

0,57532 
0,5844s 
0,59358 
0,60271 
0,61184 
0,62098 
0,63011 
0,63924 

0,64837 

0,65750 
0,66664 

0,67577 
0,68490' 

0,69403 

0,70316 

0,71230 

0,72143 
0,73056- 



0,73 
o,748«2 

0,75796 
0,76709 
0,77622 

0,78535 

0,79449 
0,80362 
0,81275 
0,82188 

0,83101 
0,84015 
o,8.<0-!8 
0,85841 
0,86754 
0,87667 
0,88581 

0,89494 
0,90407 
0,91320 



•55 
•76 

:?^ 
•38 

.';9 
•80 
00 
21 
-42 

*62 

•83 

-04 
•24 

:^ 

■87 
•07 

•28 

•49 

69 

90 
'11 

•31 

■52 
73 
94 

«4. 

•35 
•56 

•76 

-38 

•59 
-80 

•00 
•21 
•42 

-63 

■83 
•04 
•25 

'45 
66 

87 
o 

•2 

49 
70 



I 



Year. 



51 

52 

53 

54 

5 

5 

% 



61 
62 
63 
64 
65 
66 



69 

70 

71 

72 
73 
74 

75 
76 

77 
78 

81 
82 

86 

87 
88 

89 
90 

9' 

92 

93 
94 

96 

97 
98 

99 

100 



II 



COMPOUND INTEREST AND ANNUITIES 



Yean 



I 
2 

3 
4 

i 
I 

9 
10 

11 
12 

13 
M 

'.i 
\l 

»9 

20 

21 
22 

23 
24 

2j 

21 

2 

2l 

29 

30 



Log. r*. 






31 
32 
33 
34 

3 

% 

39 
40 

4« 

42 
43 
44 
45 
46 

% 

49 
50 



o,oo966'33 
0,01932*66 
0,02899-00 
0,03865-33 
0,04831-66 

0,05797-99 
0,06764-32 
0,07730-65 
0,08696-99 
0,09663-32 

0,10629*6^ 

0,11595-98 
0,12562-31 
0,13528-64 
0,14494-98 
0,15461*31 
0,16427*64 

0,17393-97 
0,18360*30 

0,19326-63 

0,20292*97 
0,21259-30 
0,22225*63 
0,23191*96 
0,2415829 
0,25124-62 
0,26090*96 
0,27057*29 
0,28023*62 
0,2898995 

0,29956*28 
0,30922-61 
0,31888-95 
0,32855-28 
0,33821-61 
0,34787-94 

o,.3S754*27 
0,36720-60 

0,3768694 
0,38653-27 

0,39619*60 
0,40585*93 
0,41552 26 
0,42518-59 

0,43484-93 
0,44451*26 

0,45417-59 
0,46383-92 
0,47350-2 
0,483 « 6*5 



2ip. 



Cent. 



Log. a'» 



0,00966*33 
9,7134381 

9.54213*37 
9,42196*39 
9,32980*50 
9.25535-68 

9.«93«2*53 
9,13983*07 

9.09335-76 
9,05226*17 

9.oi55»-27 
8,98235*00 

8,95219-58 
8,92460*13 
8,89921*03 
8,87573-61 
8,85394-38 
8.83363*92 
8,81465*92 
8,79686-61 

8,78014-23 
8,764.38*69 

8,7495«'«9 
8,73.';44-«o 
8,72210*71 

870945*09 
8,69742*01 

8,68596*79 

8,6750522 

8,6646357 

8.65468*47 
8,64516-82 

8,6360586 

8,6273305 

8,6189608 

8,61092-85 

8,60321-40 

8,59579-96 
8,58866-87 
8,58180*61 

8,575«9-79 
8,5688309 

8,56269*20 

8.55677-28 
8,55106-01 

8.54554-47 
8,54021*77 

8.53507-03 
8,5.^000*4 

8,52528*2 



Log. «r. 



8,52062-79 
8,51612*32 
8,51176-23 

8,50753-94 
8,50344-87 

8.49948-50 

8,49564-32 
8,49191*85 
8,4883064 
8,48480-26 

8,48140-31 
8,47810-38 

8,47490-13 
8,4717918 

8,4687 7 -22 
8,46583*92 
8,46298*99 
8,46022*11 

8,45753-oa 
8,45491*46 

8.45237-16 

8,44989-9» 
8,4474944 
8,445'S-54 
8,44288*00 
8,4406662 
8,43851*20 
8,4364' '53 

8,4.M37-47 
8,43238-82 

8.4.^045-41 
8,4285708 
8,42673*69 
8,4249508 
8,42321*10 
8,42151-63 
8,41086*53 
8,41825-66 
8,4166890 
8,41516*13 

8,41367-26 
8,41222*14 
8,41080-69 
8,40042*79 
8,40808-36 
8,40677-28 

8,40549-46 
8,40424-83 
8,40303-28 
8,40184-73 
8.352 



Log. I*. Yean 



B4-73 
18*25 



(277) 



0,49282-92 
0,50249*25 
0,5121558 
0,52181*91 
0,53148*24 

o,54»M*S7 
0,55080*91 
0,56047*24 

0,57013-57 
0.57979-90 

0,58946*23 

o, 599' 256 
0,6087890 
0,61845-23 
0,62811-56 
0.63777*89 
0,64744*22 
0,65710-55 
0,66676*89 
0,67643*22 

0,68609-55 
0,6957588 
0,70542-21 

o,7»5o8'54 
0,72474-88 
0,73441*21 

o.74407-.«;4 
0.75373-87 
0,76340*20 

0.7730653 

0,78272*87 
0,79239-20 

0,80205*53 
0,81171-86 
0,82138-19 
0,83104*52 
0,84070-86 
0,85037*19 
0,86003*52 
0,86969-^5 

0.87936*18 
0,88902-51 
0,89868-^5 
0,90835*18 
0,91801-51 
0,92767*84 

0.93734- » 7 
0,94700-50 

0,95666-84 

0,96633*17 



5> 

52 
53 
54 

56 

5 

59 
60 

61 

62 

63 
64 
65 

66 

67 
68 

69 
70 

71 
72 

73 
74 

li 

81 
82 

83 
84 

85 
86 

87 
88 

89 
90 

9» 
92 

93 
94 

V> 

99 
100 






; * 



I 



Team 



I 

2 

3 
4 

i 
I 

9 

lO 

II 

12 

M 

19 

20 

21 
22 

23 
24 

25 
26 

27 
28 

29 
30 

31 
32 

33 
34 

35 
36 

^2 

39 
40 

41 
42 
43 
44 

49 

50 



Log. f-. 



0401010*30 
o,0203878 
0,0305817 
0,04077-57 
0,05096*96 
0,061 1 6*35 

o>o8iSS'i3 
0,09174*52 
0,10193*91 

0,11213*31 
0,12232*70 
0,13252*00 
0,14271*48 
0,15290-87 
0,16310*26 
0,1732966 
0,1834005 
0,19368*44 
0,2038783 

0,21407*22 
0,22426*61 
0,2344600 
0,24465*40 
0,25484-70 
0,26504*18 
0.27523-57 
0,28542-96 
0,29562*35 

0,3058174 

0,31601-14 
0,32620-53 
0,33639*92 
0,34659-3 * 
o,3.';67»70 
0,36698-09 

o>377i7*4« 
0,38736-88 
0,39756-27 
0,40775-66 

0,4179505 
o,428i4'44 

0,4383383 
0,4485323 
0,45872-62 
0,46892-01 
0,47911-40 
0,48930-79 
0,49950-18 
0,50969-57 



LOGARITHMIC TABLES OF 



Ip-c...: 



Log. a". 



§: 



0,01019-39 
9,71423-09 
9.54318-69 
9.42327-52 

9.33137-25 
9,25717-86 
9,19519-91 
9,14215-48 

9.09592-97 
9,0550801 

'.01857-51 
'.98565-46 
8.9557404 
8,92838-40 
8,90322-91 
8,87098-90 
8,8584288 

8,83835-42 
8,81960-24 
8,8020355 

8,78553*60 
8,77000-26 

8,75534-79 
8,74149-52 

8,72837-75 

8.71593-57 
8,70411-73 

8,69287 -M 

8,68216-82 

8,67195-84 

8,66221*19 
8,65280-81 
8,64398-93 
8,63546-00 
8,62728 74 
8,61945-00 
8,61192-87 
8,6047055 

8,59776-41 
8,59108-91 

8,58466-66 

8,57848-34 
8,57252-74 
8,56678-76 
8,56125-31 

8,5559»-44 
8,55076-19 

8.54578-74 
8,54098-27 

8,53634-03 



Log. a". 



8,53185-29 
8,52751-40 
8,52331-72 
8,51925*65 
8,51532-64 
8,51152-15 

8,50783*67 
8,50426-73 
8,50080-89 

8,49745-71 

8,49420-78 
8,49105-72 
8,48800-16 

8.48503-75 
8,48216-16 

8,47937-06 
8,47666-16 
8,47403-17 
8,47147-80 
8,46899-81 

8,46658-92 
8,46424-91 

8.46197-53 
8.45976-59 
8,45761-83 
8,45553-08 

8,45350-14 
8,45152-83 

8,44960-94 
8,44774- 3 

8,44592-81 
8,44416-24 
8,44244-45 

8,44077-30 
8,43914-65 

8,43756-35 
8,43602*29 

8,43452-32 
8,43306*33 
8,43164-21 

8,43025-82 
8,42891-07 

8,42759-85 
8,42632-05 

8,42507-58 
8,42386-35 
8,42268-24 
8,42153-20 
8,42041-11 

8,41931-90 
8,37566-^6 



For explanation see'pp. 216-228 



Log. r*. 



0,51988-97 
0,53008-36 

0,54027-75 
0,55047-14 
0,56066-53 

0,57085-92 
0,58105*31 
0,59124*71 
0,60144*10 
0,61163*49 

0,62182-88 
0,63202-27 
0,64221*66 
0,65241*05 
0,66260*45 
0,67279-84 
0,68299-23 
0,69318-62 
0,7033801 
0,71357-40 

0,72376-80 
0,73396-19 
0,74415-58 

0,75434-97 
0,76454-36 
0,77473-75 

0,78493-14 
0,79512- 

0.^531-93 
0,81551-32 

0,82570-71 
o,83|90-io 
0,84609*49 
0,8562888 
0,86648 28 
0,87667*67 
0,88687-06 
0,89706*45 
0,90725*84 
0,91745-23 

0,92764-62 
0,9378402 
0,94803-41 
0,95822-80 
0,90842-1 



0,97861-5 

0,98880-97 

0,9990037 

1,00919-76 

1,01939*15 



Ywn. 



51 
52 
53 

54 
5 

5 

59 



61 
62 

63 

67 
68 

69 
70 

71 
72 

73 
74 



7« 

81 
82 

1^ 
1^ 

1^ 

89 
90 

91 
92 

93 
94 

U 

99 
100 
Pop. 



(278) 



COMPOUND INTEREST AND ANNUITIES 



2i 



PW CMtt. 



1 

2 

3 
4 

I 

I 

9 
lb 

11 

12 

»3 
»4 

•5 
t6 

;i 

19 

20 



21 

22 

23 
24 
2 
2 



Log. r". 



29 
30 

31 
32 
33 
34 

39 
40 

41 
42 
43 
44 

% 

49 

50 



0,01072*39 
0,02144-77 
0,03217*16 
0,04289*55 
o,o|36i-93 
0,06434-32 
0,07506-71 
0,08579-09 
0,09651*48 
0,10723*87 

0,11796-25 
0,12868-64 
0,1394103 
0,15013-41 
o,i6o8c-8o 
0,17158-18 
0,18230*57 
0,19302-96 
0,20375*34 

0,21447-73 

0,22520-12 
o, 23592 •i.o 
0,24064-89 

0,25737-28 

0,26809-66 
0,27882-05 
0,2895^-44 

0,30026-82 

0,31099-21 
0,32171-60 

0,33243-98 

0,343 •6-37 
0,3538876 
0,36461*14 

0,37533-53 
0,3860^-92 

o,3967»-30 
0,40750-69 
0,4182308 
0,4289546 

0,43967-85 
0,45040-23 
0,46112-62 
0,47185-01 

0,48257-39 
0,49329-78 
0,50402*17 

0,51474-55 
0,52546-94 

0,53619-33 



Log. fl". 



0,01072-39 
9,71502*27 

9,54423-83 
9,42458-42 

9,3329.r68 

9,2589962 

9,19726-80 

9,14447-26 

9,09840-45 

9,05788-95 

0,02162-73 
8,98894-73 
8,95927>7 
8,93215*16 
8,90723-11 
8,88422-30 
8,86289-29 
8,84304-63 
8,8245204 
8,80717-72 

8,79089-94 

8,77558-57 
8,76114-85 

8,74751-14 
8,73460-72 

8,7223768 
8,71076-77 
8.69973-31 
8,68923-13 
8,6792247 

8,66967-94 
8,66056-49 
8,65185-33 
8,6435 '"93 

8,63553-99 
8,62789-39 

8,62056-18 

8,61352-59 
8,60676-08 
8,60027-83 

8,59403-72 
8,5880336 
8,58225-53 
8,57669- 11 
8,5713306 
8,56616-35 
8,561 18' 12 
8,55637-48 
8,55» 73-64 
8,54725 84 



Log. a". 



8,5429336 
8,53875-55 
8,5347»-76 
8,53081-40 

8,52703-92 
8.523.28-78 
8,51985-48 

8,5*643-54 
8,51312-52 
8,50991-99 

8,50681-53 
8.50380-78 
8,50089-34 
8,49806*90 
8,49533-10 
8,49267-63 
8,40010-20 
8,48760-50 
8,48518-27 
8,48283*24 

8,48055*17 
8,47833-80 
8,47618-91 
8,47410*29 
8,47207*72 
8,47010-99 
8,46819-91 
8,46634-31 

8,46453-99 
8,46278-79 

8,4610853 
8,45943-08 
8,45782-26 
8,45625*94 

8,45473*97 
8,45326-23 

8,45i82-c6 

8,45042-85 

8,44906-09 

8,44774-84 

8,44646-31 
8,44521-27 

8,4439964 
8,44281-29 
8,44166-15 
8.44054-10 
8,43945-07 

8,43838-9S 
8,43735-68 
8,43635-16 
8,3979400 



Log. r". 



0,54691-71 
0,55764-10 

0,56836-49 
0,57908-87 
0,58981-26 
0,60053-65 
0,61126-03 
0,62198-42 
0,63270-81 
0,64343- 19 

0,65415-58 
0,66487-97 

0,67560-35 
0,68632 74 

0,69705- 13 

0,70777-5' 
0,71849-90 

0,72922-28 

0,7399467 
0,75067-06 

0,76139-44 
0,77211-83 
0,7828^*22 
0,79356-60 
0,80428-99 
0,81501*38 
0,8257376 
0,8364615 
0,84718-54 
0,85790-92 

0,86863-31 

0,8793570 
0,89008-08 
0,90080-47 
0,91152-86 
0,92225-24 
0,93297-63 
0,9437002 
0,95442-40 

0,96514-79 
0,97587-18 
0,98659-56 

0,9973 » -95 

1,00804-33 

1,01876-72 

1,02949-11 

1,04021-4 

1,05093 

1,06166-27 

1,07238-65 



Tean 

5» 
52 

53 

54 
5 

I 

61 
62 

63 
64 

^6^ 

% 

69 

70 

71 

72 

73 

74 

81 
82 
83 
84 

87 

88 

89 
90 

9» 
92 
93 
94 
9' 



99 

100 



(279) 




•I 

iii. 



i '-': 



LOGARITHMIC TABLES OF 



Years 

I 
1 

3 
4 



i 

I 

9 
lo 

II 

12 

«4 

\i 
% 

ao 
ai 

22 

23 
24 

39 

30 

3« 

3» 
33 
34 

3 
37 
38 
39 
40 

4« 
42 

43 
44 

:^ 

47 

4» 
49 



Log. r*. 



0,01125-32 
0,02250-63 

o>03375*95 
0,04501-27 

0,0562659 
0,06751-90 
o,o7877'22 
0,09002-64 
0,10127-85 
o."»S3i7 

o.i«378*49 
0,13503-80 

0,14629-13 

0,15754-44 
0,16879-76 
0,18005-07 

o. 19130-39 

0.20255-71 

0,21381-03 
0,33506-34 

0,23631-66 
0,24756-97 
0,25882-29 
0,27007-61 
0,28132-93 
0,292582^ 

°'-^°3«3-S6 
0,31508-88 
0,32634- 19 
0.33759-51 

0,3^483 
0,36010-14 
0,37135-46 
o,382f)0-78 
0,39386-10 
0,40511-41 
0,41636-73 
0,4276205 
0,43887-36 
0,45013-68 

0,46138-00 

0,47263-31 
0,48388-63 

0,49513-95 
0.50639-27 

0,51764-58 
0,52889-90 

0,54015-33 

0,55*40-53 
J365-85 



0,563 



5 

8 



Lor. a". 



0,01125-32 

9. 7 > 581 -33 
9.54528-79 
9,42589-07 
9.3,^449-80 
9,26080-97 

9.19933-16 
9,14678*41 
9,10105-19 
9,06069-03 

9,02466-94 
0,99222-85 
8,96278-97 
8.93590*43 

8,91 131 -61 
8,88843-83 
8,86733-61 

8.84771-55 
8,82941-31 

8,81229-15 

8,79623-30 
8,78113-65 
8,76691-42 

8,75348-99 
8,74079-64 

8.7287745 

8,71737-17 
8,70654-14 

8,69624-17 

8,68643-53 

8,67708-78 
8,66816-90 
8,65965-11 
8,65150-88 
8,64371-89 
8,63626-03 
8,62911-38 
8,62226-13 
8,61568-65 
8,6093742 

8,60331-05 
8.59748-33 
8,59187-73 
8,58648-43 
8,58129-29 
8.57629-35 
8.57147-65 
8.56683-36 
5,56235-68 

«»S58o3-84 



Per Cent 



Log. a". 



8,55387-14 
8,54984-90 

8,54596-5 » 
8,54221-36 

8.53858-90 
8,53508-61 
8.53169-96 
8,52842-49 

8.52525-77 
8,52219-35 

8,51922-83 

8.51635-83 

8.51357-98 
8,51088-94 

8,i;o828-38 

8.50575-97 

8,5033' -43 
8,50094-45 

8,49864-78 

8,49642- 15 

8,49426-29 
8,49217-00 
8,49014-01 
8,48817-13 
8,48626-14 
8,48440-84 
8,48261 -04 
8,48086-55 
8,47917-20 
8,47752-80 

8.47593-21 
8,47438-26 
8,4728781 
8,47141-70 
8, 46999 -So 
8,46861-98 
8,46728-10 
8,46598-05 
8,46471-69 
8,4634891 

8,46229-63 
8,4611368 
8,46001 -01 
8,45801-50 
8,45785-06 
8,45681 59 
8,45581-00 
8,45483-23 
8,45388-13 
8,45295-69 



Log. f*. 



0,57391 -'7 
0,58516-48 

0,59641-80 
0,60767-13 
0,61892-44 
0,63017-75 
0,6414,3-07 
0,65268-39 
0,66393-70 
0,67519-02 

0,68644-34 
0,69769-65 
0,7089497 
0,72020-29 

o,73»45-6i 
0,74270-92 

0,75396*24 
0,76521-56 
0,77646-87 
0,78772-19 

0,79897-51 
0,81022-82 
0,82148-14 
o,832'73 46 
0,8439878 
0,8^514-09 
0,86649-41 

0,87774-73 
0,88900-04 
0,90025-36 

0,91150-68 
0,92275-99 

0,93401-31 
0,94526-63 

0,95651-95 
0,96777-26 

0,97902-58 
0,99027-90 
1,00153-21 
1,01278-53 

1,02403-85 
i,03M9-i6 
1,04654-48 
1,05779-80 
1,06905-12 
1,08030-43 

i.o9»55-75 
1, 10281 07 
1,11406-38 
1, 1 2531-70 



Ymuk 

SI 

S» 
53 

54 
5 

li 



61 
62 

69 
70 

71 

72 
73 
74 
75 
76 

\i 

80 

81 
82 
83 
84 

II 
87 

88 

89 
90 

91 
92 
93 
94 
95 
96 

99 
100 



For explanation see pp. 216-228 



(280) 



Yean 



I 

2 

3 

4 

? 
I 

9 
10 

II 

12 

>3 

14 

'5 
16 

\l 

19 

30 

31 
22 

»3 
24 

25 
26 

27 
28 

29 
30 

3« 
32 

.33 
34 
35 
36 

^ 

39 
40 

41 
42 
43 
44 

% 

49 
SO 



COMPOUND INTEREST AND ANNUITIES 



Log. r". 



0,01178-18 
0,02356-37 
0,03534-55 
0,04712-73 
0,05890*92 
0,07069-10 
0,08247-28 
0,09^35-^6 
0,10603-65 
0,11781-83 

0,12960-01 
0,14138-20 
0,15316-38 
0,16494-56 
0,17672-75 
0,18850-93 
0,20029-11 
0,21207-29 
0,22385-48 
0,23563-66 

0,24741 84 
0,2592003 
0,2709821 
0,28276-39 

0,2945458 
0,30632-76 
0,31810-94 
0,32989-13 
o..34»67-3i 
0,35345-49 

0,36523-67 
0,37701 86 
0,3888004 
0,4005822 
0,41236-41 
0,42414-59 

0,43592-77 
0.44770-96 

0,4594914 
0,47127-32 

0,48305-51 
0,49483-69 

0,50661-87 
0,5184005 
0,53018-24 
0,54196-42 
0,5537460 
0,56552-79 

0,5773097 
0,58909-15 



Si 

4 Per Cent 



Log. fl". 



0,01178-18 
9,71660-28 

9.546.33-59 
9,42719-49 

9.3.3605-59 

9,26261-92 

9,20139-02 

9,14908-96 

9,10360-17 

9,06348-24 

9,02770-14 

8,99549' 79 
8,9662944 

8,9.3964- « 9 
8,91518-44 

8,89263-51 
8,87175-80 
8.85236-18 
8,83428-09 
8.81737-85 

8,80153-69 

8,78665-49 
8,77264-51 

8,7594309 
8,74694-52 
8,73512-89 
8,72392-96 
8,7133005 
8,70319-98 
8.69359-00 

8,68443-72 
8,67571-08 
8,66738-32 
8,65942-80 
8,65182-48 
8,644^5-00 

8,^758-51 
8,63091-21 

8,62451-47 
8,6183777 

8,61248-72 
8,60682-99 
8,60139-40 
8,5961681 
8,5011417 
8,5863o-5i 
8,5816^-91 

8,5771651 
8i686^i8 



Log. o". 



8,5646678 
8,56079-64 
8,55706-15 

8,55.345-71 
8, 54997 78 
8,54661-81 

8.54337-31 
8,5402381 

8,5372085 

8,5342802 

8,53M4-9i 
8.5287114 
8,52606-34 

8,52.35017 
8,52102-30 

8,51862-41 

8,51630-21 

8,51405-41 

8,51187-74 

8,5097693 

8,50772-75 
8.5057495 
8.50.383-30 

8.5019759 
8,50017-61 

8,49843-16 
8,49674-05 
8,4951010 
8,49351-12 
8,49196-96 

8,49047-45 
8,48902-44 
8,48761-76 
8,48625-38 
8,48492-87 
8,48364-40 
8,48239-72 
8,48118-72 
8,48001-29 
8,47887:30 

8,47776-64 
8,47669-23 
8,47564-94 
8,4746368 

8,47.36535 
8,47269-87 

8,47177-15 
8,47087-10 

8.46999-64 

8,4691469 

8.43933*7 



Log. 



0,6008734 
0,61365-53 
0,62443-70 
0,63621-88 
0,648000^ 
0,65978-35 
0,67156-^3 
0,68334-63 
0,69512-80 
0,70690-98 

0,71869-17 

0.73047-35 
0.74225-53 
0,75403-72 
0,76581-90 
0,7776008 
0,78938-26 
0,80116*45 
0,81294-63 
0,82473-81 

0,83651-00 
0,84829*18 
0,86007-36 
0,87185*55 

0,88363-73 
0,89541-91 
0,9072009 
0,91898-28 
0,9307646 
0,9425464 

0,9543283 
0,9661 1 -01 
0,9778910 
0,98967-38 
1,00145-56 
1,01323-74 
1,02501-93 
1,03680-11 
1,04858-29 
1,06036*47 

1,07314*66 
1,08392*84 
1,09571 03 
1,10749*21 

1,11927-39 
1,13105-57 
1,1428376 

i,im6i-94 
1,16640*13 
1,17818*31 



"^i 



Yean 

51 
5» 

53 

54 

% 

59 
60 

61 
63 

'd 

69 

70 

71 
72 
73 
74 

II 

80 
81 

82 

83 
84 

85 
86 

87 
88 

89 
90 

91 
92 
93 
94 

99 
100 
Petyi 






(281) 




i 1 i 




i 



I 




LOGARITHMIC TABLES OF 





2 


S Per Cent. 




X 


Yean 
I 


Log. f-. 


Log. a\ 


Log. of*. 


Log. f*. 


T«ui 

5> 


0,01230-98 


0,01230-98 


8,57532-4» 


0,6278023 


3 


0,02^61*97 
0,03692-95 


9,71739-' 2 


8,57»59-90 
8,56800-85 


0,64011-31 


52 


3 


9,54738-21 


0.65243*20 
0,66473-18 


53 


4 


0,0^92394 
0,06154-92 


9,428^9-66 


8,56454-64 


54 


1 

9 


9,3376107 


8,56120-75 


0,67704-17 


11 
11 


0,07385-01 
0,08616-80 


9,26442-45 
9,20344-58 
9,15138-89 
9,10614-43 


8,55798-62 
8,55487-76 


0.68935-15 
0,70166-13 


0,09847-88 
0,11078-86 


8,55187*72 
8,5489803 


0,7139712 
0,72628-10 


lO 


0,12309-85 


9,06626-59 


8,54618-27 


0,7385909 


II 


0,13540-83 


9.03072*35 
8,99875-58 


8,54348-06 


0,75090-07 
0,76321-06 


61 


12 


0,14771-82 


8,54086-99 


62 


13 
'4 


0,16002-80 

0,1723379 
0,18464-77 


8,9697860 
8,94336-46 


8,53834-72 
8,53590-80 


0,7755204 
0,7878303 


64 


15 


8,31913-59 
8,89681*29 


8,53355-18 


0,8001401 


U 


ID 


0,19695-76 


8,53127-28 


0,81 245 00 


'^ 


0,20926-74 


8,87616-09 


8,52906-89 


0,82475-98 
0,83706-97 


^ 


18 


0,22U7-73 
0,23388-71 
0,24619-70 


8,85698-5^ 
8,83912-38 
8,82243-82 


8,5260372 
8,52487-51 
8,52288-00 


»9 

20 


*''2^937-95 
0,86168-94 


69 

70 


21 
22 


0,258^0-68 
0,27081-67 


8,80681 12 
8,79214*13 


8,52094-94 
8,51908-09 


0,87399-92 
0,88630-91 

0,89861-89 


71 

72 


23 


0,28312-65 


8.77834-13 


8,51727-23 


73 


24 


0,29543-64 


8.76533-45 


8,51552-14 
8,51382-63 


0,91092-88 


74 


^1 


0,30774-62 


8,75305-39 


0,9232386 


li 


0,32005 -61 
0,3323659 


8,7414405 
8,73044-16 


8,51218*47 


0,93554-85 
0,94785-83 

0,96016-82 


^1 


8,51059-50 


11 . 


0,34467-57 
0,35698-56 
0,36929-54 


8,72001-06 


8,50905-53 
8,50756-38 
8,50611-90 


29 
30 


8,71010-58 
8,70068-95 


0,97247-80 
0,98478*79 


S 


31 


0,38160-53 


8,60172-80 
8,6831907 
8,67504-98 


8,50471-90 


0,9970977 


81 


32 


0,39391 ^^ 


8,50336-25 


1,00940*76 


82 


33 


0,40622*50 


8,50204-80 


1,02171-74 


S^ 


34 


o,4i8«-48 
0,4308447 


8,6672800 


8,5007741 


1,03402-72 
1,046.33-7' 


84 


^? 


8,65985-83 
8,65276-36 


8,4995392 


il 


0,44315-45 
0,45546-44 
0,46777-42 
0,48008-41 


8,49834-22 


1,05864-69 
1,07095-68 
1,08326-66 


37 


8,64597-66 


8,49718-19 


ii 


38 


8,63947-92 


8,4960569 


88 


39 


8,6332^-52 
8,62728-96 


8,49496-62 


1,09557-65 
1,10788-63 


89 


40 


0,49239-39 


8,4939086 


90 


41 


0,50470*38 


8,62156-81 


8,49288-30 
8,49»88-83 
8,40092-36 
8,48998-80 


1,12019-62 


9' 


4* 


0,5 » 701 36 


8,61607-79 


1,1325060 
1,14481*59 


92 


43 


0,52932-35 


8,6108069 


93 


44 


0,54163-33 


8,60574-36 
8,60087-70 
8,59619-98 


«,iS7'2-57 


94 


t 


0,55394-32 
o,5662«*30 
0,57856*29 
0,59087*27 
0,60318*26 


8,48908-04 
8,4882000 


1,16943-56 
1,18174-54 


u 


i^ 


8,5017002 
8,5873706 


8,4873459 
8,48651-73 


1,19405-53 
1,20636-51 


u 


49 


8,58320-31 


8,4857i;34 


1,21867-50 
1,2309848 


99 


50 


0,61549*24 


R. 57918-99 


8;458?3-7^ 


100 










Perp 



For explanation see pp. 216-228 



(282) 



Years 



I 

3 

3 



COMPOUND INTEREST AND- ANNUITIES 



Par Cmt. 



Log. r* 



I 

9 
to 

u 
13 
'3 
14 

\i 

\l 

«9 
20 

21 
22 

23 
24 

25 
26 

27 
28 
29 
30 

31 
32 

S3 
34 

li 

37 
38 

39 

40 

4' 
42 

43 
44 

% 

49 
50 



0,0128372 
0,02567*44 
0,03851*17 
0,05134-89 
0,06418*61 
0,07702-33 
0,08986-06 
0,10269*78 

0,11553-50 
0,12837*22 

0,14120*95 
0,15404*67 
0,16688-39 
0,17972-11 
0,19255-84 
0.20539*56 
0,21823-28 
0,23107-00 

0,2439073 
0,25674-45 

0,26958-17 
0,28241-89 
0,2952562 
0,30809-34 
0,3209306 

0,3337678 
0,34660-51 

0,35944-23 
0,37227-95 

0,38511-67 

0,39795-40 
0,4107912 
0,42362-84 
0,43646-56 
0,44930-29 
0,46214*01 

0,47497-73 
0,48781*45 
0,50065*18 
0,5 '34890 
0,52632-62 

o,539'6-34 
0,5520007 

0,56483-79 
0,57767-51 
0,59051-23 
0,60334-96 
0,61618-68 
0,62902-40 
0.64186- 1 2 



Log. «". 



0,0128372 
9,71817-84 
9,5484267 

9,42979-59 
9,33916-23 

9,26622-58 

9,20549-22 

9,15368-19 

9,10867-95 

9,06904*07 

9.03373-51 
9,00200-22 

8,97326-43 
8,94707*25 
8,92307*08 
8,90097-23 
8,880^4-22 
8,8615864 
8,84394-18 
8,82747-08 

8,81205-58 

8,79759-57 
8,78400-29 

8,77120-09 
8,75912-27 

8,74770-92 

8,73690-79 
8,72667*20 
8,71696-00 

8,70773-4' 

8,69896*07 

8,69060-91 

8,68265-15 

8,67506-27 

8,66781-98 

8,66090-15 

8,6542885 

8.64796-30 

8,64190-86 

8,63611-04 

8,63055-4' 
8,62522-68 
8,62011-63 
8,61521*17 
8,61050-23 
8,60597-85 
8,60163-10 

8,59745-14 
8,59343' »6 
8.58956-42 



Log. «• 



8,58584-21 
8,58225-86 
8,57880-78 

8,57548-32 
8,57227-98 
8,56919*22 
8,56621-52 
8,563.34-42 
8,56057-53 
8,55790-35 

8,55532-53 
8,55283-67 
8,55043-4' 
8,54811-42 

8,54587-36 
8,54370-93 
8,54161*83 
8,53959-78 

8,53764-5] 
8,53575*76 

8.53393-29 
8,53216-86 
8,53046-27 
8,52881*27 
8,52721-68 

8,5256730 
8,52417*94 
8,52273-41 

8,52133-56 
8,519^-21 

8,51867-20 
8,51740-38 
8,51617-61 
8,51498-76 

8,5'383-67 
8,51272-22 

8,51164-30 
8,51059-77 

8,50958-53 
8,50860-46 

8,50765*46 

8,50673-42 
8,50584*25 

8,50497-85 
8,5041414 

8,50333-02 
8,50254*40 
8,50178-22 

8,50104-37 
8,5003280 
8,477i2*M 



(283) 



Log. r-. 



0,6546985 
0,66753-57 
0,6803729 
0,69321-01 

0,70604-74 
0,71888-46 
0,7317218 

0,74455-90 
0,7573963 
0,7702335 

0,78307*07 

0,7959079 
0,8087452 

0,82158-24 

0,83441-96 

0,8472568 

0,86009-41 

0,87293- 13 

0,8857685 

0,89860*57 

0,91144-30 
0,9242802 

0,937 'I -74 
0,94995-46 
0,96279-19 
0,97562-91 
0,9884663 
1,00130-35 
1,0141408 
1,02697-80 

1,03981*52 

1,05265-24 

1,0654897 

1,07832-69 

1,09116-41 

1,10400-13 

1,116838 

1,129675 

1,14251-30 

1,1553502 

1,16818-74 
1,18102-47 
1,1938619 
1,2066991 
1,21953-63 
I,23237-.S6 
1,2452108 
1,25804-80 
1,27088*53 
1,28372*35 



Yean 



5' 
52 
53 

54 

5^ 

I 

59 
60 

61 
62 

63 
64 
65 
66 

67 
68 

69 

70 

7* 

71 

73 
74 



81 
82 

83 
84 

87 
88 

89 
90 

91 
92 
93 
94 



99 
100 
P«rp 



R 



I 




M 



1^^ 



i ; 



i ' 



Years 



I 
t 

i 
4 

I 

I 

9 

lO 

II 

12 

M 

;i 

i8 
'9 

20 

21 
22 

23 
24 

2 

27 
28 
29 

30 

31 
32 

33 
34 

^^ 

3 

39 
40 

41 
42 

43 

44 

45 
46 

J^ 

49 
50 



Log, r". 



0,01336-40 
0,0267279 
0,04009' 19 
0.05345 "58 
0,06681-98 
0,08018-38 
0,09354-77 
o, 10^)91-17 
0,12027-57 

o.>3363'96 

0,14700-36 
0,1603675 

0,17373*15 
0,18709-55 

0,20045-94 

0,21382-34 

0,22718-73 

0,24055-13 

o. 2539 » 53 
0,26727-92 

0,28064-32 
0,29400-72 

0,30737" 
0,32073-51 

0,3340990 
0,3474630 
0,36082-70 

0,3741909 

0,38755*49 
0,40091-88 

0,41428-28 
0,42764-68 
0,44101-07 

o,45437'47 
0,4677387 
0,48110-26 
0,49446 66 
0,5078305 
0,52119-45 

0,53455-85 

0.54792-24 
0,56128-64 

0,5746503 
0,58801-43 
0,60137-83 
0,61474-22 
0,62810-62 
0,64147-02 

0,65483-4' 
0.66819-81 



LOGAHITUMIC TABLES OK 



3i 



S Per Cent. 



Lo 



g. a\ 



0,01336-40 
9- 7 '896-45 

9.54946-96 
9,43109-29 
9,3407 1 08 
9,26802*30 

9.20753-57 
9' 1 5596-89 
9,11120-74 
9,07180-68 

9.0367369 
9.00523-70 

8,97672-96 
8,95076-56 
8,92698-91 
8,00511-32 
8,88490-32 
8,86616-47 

8,84873-51 
8,83247-65 

8,81727-12 
8,80301-83 
8,78963-02 
8,77703-03 
8,76515-18 

8,75393*54 
8.74332-87 

8,73328-51 
8,72376-27 
8,71472-42 

8,70613-55 
8,69796-63 
8,69018-87 
8,68277-75 

8,6757097 
8,66896-42 

8,6625216 
8,6563644 
8,65047-58 
8,64484*10 

8,6394458 
8,6342775 

8,62932-37 
8,62457-34 
8,62001-62 
8,61564-23 
8,61144-26 
8,60740-86 
8,60353*23 
8,59980-62 



Log. a". 



8,5962233 

8,59277-69 
8,58946-09 
8,58626-95 
8,58319-69 
8,58023-81 
8,57738-81 
8,57464-21 

8,57'99-59 
8,56944-52 



8,5601. _ 

8,55799jS 
8,5559369 

8,55395-39 
8,55203-95 
8,55019-12 
8,54840-62 

8,54668-24 

8,54501-74 
8,54340-89 
8,54185-47 
8,5403530 
8,53890-17 
8.53749-9» 
8,53614-32 
8,53483-25 
8,53356-52 

8,53233-99 
8,53115-50 
8,53000-90 
8,5289007 
8,5278286 
8,52670- 16 
8,52578-84 
8,52481-77 
8,52387-86 
8,5229698 

8,52209-04 
8,52123-93 
8,52041 56 
8,51961 84 
8,51884-67 
8.51809-97 
8.5173766 
8,51667-65 

8,5»599-87 
8.51534*25 
8.49485-00 



Log. r". 



0,68156-20 
0,69492 -to 
0,7082900 
0,72165-39 

0,73501-79 
0,7^^3818 

0,76174-58 
0,77510-98 

0,78847-37 
0,80183-77 

0,81520-17 
0,82856-56 
0,84192-96 

0.85529-35 
0,86^5-75 
0,88202-15 

o,89«8-S4 
0,90874-94 
0,92211*34 

0.93547*73 

0,94884*13 
0,96220-52 

0,97556-92 
0,9889332 
,00229-71 
,01566*11 
,02902*50 
.04238-90 

.05575*30 
,06911-69 

,08248-09 

,09584-49 
,10920-88 
,12257-28 

.I3.';93'67 
,14930-07 

,16266*47 
,i7to2-80 
,18939-26 
,20275-65 

,2161205 
,22948-45 
,24284-84 
,25621-24 
,26957-64 
,28294*03 
,2963043 
,3096682 
,32303-22 
.33639-62 



Years 



5' 
52 
S3 
54 

55 
56 
5 



61 
62 

63 
64 

69 
70 

71 

72 

73 
74 

II 
II 

80 

81 
82 

83 
84 

1^ 

87 
88 

89 
90 

91 
92 

93 
94 



97 
98 

99 
100 
Perp 



For explanation see pp. 216-22S 



(284) 



COMPOUND INTEREST AND ANNUITIES 



3^ 



4 Per Cent 



Yewij 

I 

2 

3 

4 

I 
I 

9 
10 

II 

12 
»3 
14 

\i 
'.I 

«9 
20 

21 
22 

«3 

»4 

II 

27 
28 
29 

30 

31 
3» 

33 
34 
3 
31 

11 

39 
40 

41 
42 
43 
44 

t 

49 

SO 



Log. I*. 



0,01380-01 
0,02778*01 
0,04167-02 
0,05556-02 
0,06945-03 
0,08334-04 
0,09723-04 
0,1111205 
0,12501-05 
0,13890-06 

0,15270-07 
0,16668*07 
0,18057-08 
0,19446*08 
0,20835-09 
0,22224-10 
0,23613-10 
0,25002-11 
0,26301 11 
0,27780-12 

0,29160-13 
0,30558-13 
0,31947-14 
0,33336-14 
0,34725*15 
0,36114*16 

0,37503*16 
0,38802-17 
0,40281-17 
0,41670-18 

0,43059-19 
0,44448- 19 

0,45837*20 

0,47226-21 

0,49615*21 

0,50004*22 
o,5»393-22 
0,52782*23 
0,541 7 I '24 
0.55560-24 

0,56940-25 

0,58338*25 
0,59727*26 
0,011 16'27 

0,62505*27 
0,63894-28 
o,6§283*28 
0,66672*29 
0,68061*30 
0,69450-30 



Log. a". 



0,01389*01 
9,71974-96 
9,55051-08 

9.43238*76 
9,3^225-60 
9,26981-63 
9,20057-41 
9,15824-08 
9,11372-80 
9,0745643 

9,03072-87 
0,00846*04 
8,98018-18 

8,95444*30 
8,9308908 
8,90923*57 
8,88924-38 
8,87072*07 

8,85350-37 
8.8374S*S> 

8,82245*73 
8,80840-92 



8,79522-32 
8,78282-30 
8,77114-14 
8, 76011 94 
8,74970*45 
8,73985*00 

8,73051-44 
8,72165-99 

8,71325*20 
8,70526*28 
8,69766*18 
8,69042*48 
;<,68352-86 
8,67695-24 
8,6706767 
8,66468-37 
8,65895*73 
8,65348-21 

8,64824*42 
8,6432307 
8,63842-97 
8,63382-97 
8,62942-06 
8,62519-25 
8,62113*63 
8,61724*36 
8,6x350-65 
8,60991-73 



Log. a*. 



8,60646-92 

8,60315-55 

8,59997*00 

8,5969069 

8,59396*07 

8,59112-62 

8,58839-84 

8,58577*28 

8,58324*47 
8,58081*02 

8,57846-52 
8,57620-62 
8,57402-93 

8,57193*13 
8,56990-90 

8,56795*93 
8,56to7-92 

8,56426-61 

8,56251 72 

8,56083-01 

8,55920-33 

8.55763-15 
8,55611-56 

8,55465-23 

8,55323*98 
8,55187-62 

8,55055-96 
8,54028-82 
8,54806-03 
8,54687-46 

8,54572-89 
8,54462-24 

8,5435534 
8,54252-05 
8,54152-24 

8,54055-79 
8,53962-59 
8,53»72-5i 
8,53785-45 
8,53701-28 

8,53619-93 
8,53541-28 

8,53465-23 

8,5339171 
8,53320-63 

8,53251-89 
8,53185-41 



(285) 



Log. r*. 



0,70830-31 
0,72228*31 

0,73617*32 
0,75006-33 

0,76395*33 
0,77784*34 



0,79173*34 
0,80;,' 
0,819s I 31 



562-35 

1*36 

0,83340*36 

0,8^720*37 
0,86118-37 

0,87507*38 
0,88806-39 
0,90285*39 
0,91674-40 
0,9306340 
0,94452*41 

0,95841*42 
0,97230*42 

0,98610*43 
1,00008-43 
1,01307*44 
1,02786-45 
1,04175-45 
1,05564*46 
1.06953-46 
1,08342*47 

1.09731*4 
1,11120*48 

1,12500*49 
1,13808-49 

'''5?87*5<> 
1,16676-51 

1,18065*51 

1,19454-52 

i,2o84VS^ 
1,22232-53 
1,23621-54 
£,25010-54 

i,a63oo*55 

i,27788*SS 
1,29177-56 

1,30566-57 
1,31955-57 
1,33344-58 
1.34733-58 
1,36122-59 

1,37511-60 
1,38900-60 



Ytan 



5« 
52 

53 

54 

5 

5 
5' 
i9 



61 
62 

63 
64 

'd 

69 
70 

71 

72 

73 
74 

'^ 
li 

81 
82 

83 
'd 

89 
90 

9« 
92 

93 
94 

'^ 

'^ 

99 

100 

P««V 



R2 







LOGARITHMIC TABLES OF 



31 



P«r Cent. 



Ytars 


Log. r*. 


Log. a". 


Log. a". 


Log:, r". 


Ye*rs 


1 


0,01^1-55 
0,02883-10 


0,01441-55 


8,61658-14 


o,73Si9-»7 


5» 


2 


9> 72053-35 


8,61339-61 


0,74960-72 


52 


3 


0,04324-66 


9>5Si5502 
9,43367-98 


8,61033-67 


0,76402-27 


53 


4 


0,0576621 


8,6073976 


0,77843-82 


^4 


i 


0,07207-76 
0,08649-31 


9.34379-82 
9,27160-56 


8,60457-33 
8,60185-85 


0,79285-37 
0,80726-93 


11 


I 


0,10090-87 


9,21160-74 


8,59924-85 


0,82168-48 


% 


0,11532-42 


9,16052-46 


8,59673-85 


0,83610-0? 


9 


0,12973-97 


9,11624-14 


8,59432-41 


0,85051-58 
0,86493-14 


59 


lO 


0,14415-52 


9.07731-34 


8,5920013 


II 

12 


0.1585707 
0,1729863 
0,18740-18 


9,0427106 
9,01167-24 


8,58976-61 
8,58761-47 • 


0,87934-69 
0,89376-24 
0,90817-79 


61 
62 


«3 


8,98362-11 
8,95810-76 


8,58554-37 


^J 


•4 


0,20181-73 


8,58354-97 
8,58162-94 


0,9225934 


54 


IS 


0,21623-28 


8,93477-62 


0,93700-90 




i6 
17 


0,23064-84 
0,24506-39 


8,91333-99 
8,89356-40 


8,57977-98 
8,57799-81 
8,57628-15 


0,95142-45 
0,9658400 


i8 


0.25947-94 


8,87^5 -43 


0,98025-55 


68 


»9 


0,27389-49 


8,8582480 


8,5746275 


0,99467-11 
1,00908-66 


69 


20 


0,2883 I 05 


8,84240-71 


8,57303-32 


70 


21 


0,30272-60 


8,82761-44 


8,5714967 


1,02350-21 


71 


22 


o,3»7»4-iS 


8,81376-87 


8,57001-56 


>,0379i-76 


72 


23 


0,3315570 


8,8007824 


8,5685874 


i!o667^-87 
1,08116-42 


73 


24 


0,34597-25 
0,36038-81 


8,78857-90 


8,56721-04 


74 


25 


8,77709-16 
8,76626-12 


8,56588-25 


11 


26 


0,37480-36 
0,38921-91 


8,56460-18 


1,09557-97 


27 


8,75603-53 


8,5633665 


1,1099952 


^l 


28 


0,40363-46 


8,74636-72 


8,56217-50 


1,12441 08 


78 


29 


0,41805-02 


8,7372151 
8,7285417 


8,56102-52 
8,55991-60 


1,13882-63 


29 


30 


0,4324657 


1,15324-18 


80 


3» 


0,44688-12 


8,72031 •« 
8,71249-89 


8,55884-57 


1,16765-73 


81 


32 


0,46129-67 


8,55781-29 


1,18207-29 


82 


33 


0,47571-22 


8,70507-13 
8,69800-50 


8,55681-61 


1,19648-84 


83 


34 


0,49012-78 


8,55585-40 


1,21090-39 


84 


1^ 


0,50454*33 
0,51895-88 


8,60127-71 
8,68486-66 


8,55492-53 
8,55402-88 


1,22531-94 
1,23973-49 


85 
86 


37 


0,53337-43 
0,54778-99 


8,67875-41 


8,55316-34 


»,254i5-o5 
1,26856-60 


ll 


8,67292-19 


8,55232-79 


88 


39 


0,5622054 


8,66735-37 


8,5515212 


1,28298- IS 


89 


40 


0,57662-09 


8,66203-45 


8,55074-23 


1,29739-70 


90 


41 

42 


0,59103-64 
0,60545-19 


8,6569<-oi 
8,65208-77 


8,54999-00 
8,54926-35 


1,31181-26 
1,32622-81 


9' 
92 


43 


0,61986-75 


8.64743-53 
8,642^-18 


8,54856-21 
8,54788-44 


1,34064-36 


93 


44 


0,63428-30 


1.35505*91 


94 


ti 


0,6^869-85 
0,66311-40 


8,63871-66 
8,63463-02 


8,54723-01 
8,54659-79 


1,36947-46 
1,38389-02 

<»3983o-57 


v> 


47 


0,67752-96 


8,63071-35 


8,54598-73 
8,54539-70 


% 


48 


0,6919^-51 
0,7063606 


8,62695-79 


1,41272-12 


49 


8,623«-56 
8,61^-91 


8,5448277 


1,42713-67 


99 


SO 


0,72077-61 


8,54427-70 


1.44155-23 


100 






. 


. 8.52827-38 J 




rurp. 



For explanation see pp. 216-228 



(286) 



COMPOUND INTEREST AND ANNUITIES 



^Vw C«Bl 


Tean 
I 


Log. r*. 


Log. a"* 


Log. or. 


Log. »-. 


Tean 


0,01404-03 


0,01494-03 


8,62656-17 


0,76105-78 
0,77689-82 


51 


2 


0,02988-07 


9,72131-63 


8,62350-0- 
8,62056-28 


52 


3 


0,04482-10 


9.55258-81 


0,79183-85 


S3 


4 


0,05976-14 


9,43496-97 


8,61774-35 


0,80677-89 


54 


i 


0,07470-17 


9,34533-72 


8,6150366 


0,82171*92 


11 


0,08964-21 


9.27339-07 


8,61243-7* 
8,60994-06 


0,83665-96 


I 


0,10458-24 


9.21363-59 


0,85159-99 


5? 


0,11952-28 


9,16279-32 


8,6075419 


0,8665403 


58 


9 


0,13446-31 


9,11874-74 


8,60523-67 


0,88148-06 


g 


10 


0,14940-35 


9,08005-39 


8,60302*11 


0,89642*10 


11 


0,16434-38 


9,04568-27 


8,60089-11 


0,91136-13 


61 


12 


0,17928-42 


9,01487-30 


8,59884-30 


0,92630*17 


62 


»3 


0,19422-45 


8,98704-74 


8,59687-33 


0,94124-20 


63 


M 


0,20916-49 


8,96175-67 


8,59497-87 


0,95618-24 


64 


\i 


0,22410-52 
0,23904-56 


8,93864-51 
8,91742*58 


8,59315-60 
8,59140-20 


0,97112-27 
0,98606-31 


'd 


' 'I 


0,25398-59 


8,89786-42 


8,58971-42 


1,00100-34 


U 


18 


0,26802-63 


8,87976-57 


8,58808-95 


1*01594-38 


«9 


0,28386-66 


8,8629678 


8,58652-57 


1,03088-41 


69 


ao 


0,29880-70 


8,84733-25 


8,58502*01 


1,04582-45 


70 


21 


0,31374-73 
0,32868-77 

0,34362-80 


8,8327426 


8,58357-02 


1,06076-48 


71 • 


sa 


8,81909-67 


8,58217-40 


i,o757o-52 


72 


*3 


8,80630-76 


8,5808292 


1,09064-55 


73 


24 


0,35856-84 


8,79429-86 


8;57828-6o 


»* 10558-59 


74 


1 li 


0,3735087 


8,78300-29 


1,12052-62 


li 


0,38844-91 


8,77236-13 


8,57708-38 


1,13546-66 


! ^ 


0,40338-94 
0,41832-98 


& 76232- IS 
8,75283-67 


8,57592-53 
8,57480-89 


1,15040-69 
i>»6534-73 


11 


29 


o,4-J327-oi 


8,74386-54 


8,57373-31 


1,18028-76 


g 


30 


0,44821-05 


8,73536-99 


8,57269-01 


1,19522-80 


31 


0,46315-08 


8,72731-67 


8,571696s 


1,21016-83 


81 


32 


0,47809-ia 


8,7196752 


8,57073*29 

8.56980-39 


1,22510-87 


82 


33 


0,49303*15 


8,71241-75 


1,24004-90 
1,25498-94 
1,2690297 
1,28487-01 


83 


34 


0,50797- 19 


8,70551-87 
8,69895-57 


8,5689083 
8,5680446 


84 


% 


0,52291*22 


85 


0,53785-26 


8,69270-7^ 
8,68675-46 
8,68107-96 


8,56721-18 


86 


u 


0,55279-29 
0,56773-33 


8,566^087 

8,56563-41 
8,564M-7i 


1,29981-04 
1,3147508 


87 
88 


39 


0,58267-36 


8,67566-61 


1,32969-11 


89 


40 


0,59761-40 


8,6704989 


8.56416-65 


1,34463-15 


90 


4» 
42 


0,61255-43 
0,62749-47 


8,66556-43 
8,6608492 


8.56347-'4 
8,56280-09 


1,35957 18 
1,37451-22 


9' 
92 


43 


0,64243-50 


8,65634-16 


8,56215-41 


1,38945-25 


93 


44 


0,65737-54 


8,65203-04 


8,56153-00 


1,40439-29 


94 


45 


0,67231-57 
0,68725-61 


8,64790-53 
8,64395-66 


8,56092-79 


1,41933-32 


95 


46 


8,56034-69 


1,43427*36 


96 


J ^l 


0,70219-6^ 
o,7i7i3»68 


8,64017-52 


8,5597864 


1,4492.-39 


97 


' 48 


8,63655-27 
8,63308-11 


8,55924*54 
8,55872-35 


1,46415-43 


98 


49 


0,73207-71 


1,47909-46 


99 


50 


0,74701-75 


8.62975-31 


8,55821-06 
8,5440680 


1,4940350 


100 
Petp 



(287) 



i r 





I' 




:l!::.l 



LOGARITHMIC TABLES OF 



I 

s 

3 

4 

« 

I 

9 

lO 

II 

12 

'9 

20 

31 
23 

23 
24 



29 

30 
31 

3* 
33 
34 

f? 

3 

39 
40 

41 

42 

43 
44 

45 
46 

^1 
48 

49 

50 



31 



P» Cmi. 



Log- »*• 



0,01546-45 
0,03092-91 
0,0^59-36 
0,06185*83 
0,07732*27 
0,09:7873 
0,10825' 18 
0,12371-63 
0,13918-09 
o> 15464-54 

0,17011-00 
°»i8557-45 
0,20103-91 
o,2i65o-.q6 



•36 
-83 



0,23196 

0.24743-27 
0,2628972 
0,27836-18 
0,2938263 
0,3092909 

0,32475-54 
0,34022 00 

o>35568-4S 
o,37"4-90 
0,38661 •a6 
0,40207-81 

0,41754-27 
0,43300-72 

0,44847-18 

0,46393-63 

0,4794009 
0,49486-54 
0,5*032 '99 

0.52579-45 
0,54135-90 

0.55672*36 

0,57218-81 

0.58765-27 

0,6031173 

0,61858-17 

0,63404-63 
0,6^51-08 
o»66497-54 
0,68043-99 
0,69590-45 
0,71136-90 
0,72683-35 
0,74229 81 
o> 75776-26 
0,77333-73 



Log. a". 



0,01546-45 
9,72209-80 

9.55362-44 
9.4362572 

9,34687-31 
9.27517-19 

9.»i565-94 
9,16505-60 
9,12124-62 
9,08278-59 

9,04864-47 
9,oi8o6'33 
8,9904607 

5.96539-" 

8.94249-77 
8,92149-36 
8,00214-43 
8,88435-49 
8,86766-33 
8,85333-13 

8.8378418 
8.82439-36 
8,81170-91 
8,70008-20 
8,7^7-52 
8,77841-97 
8,76856-33 
8,75925-90 

8, 75046-55 
8,74214-50 

8,73426-39 
8,72679-19 
8,71970' 10 
8,71396-63 
8,7065648 

8,700^7-54 
8,69467 -89 

8,67i 

8,67408-76 
8.66951-59 
8,66514*94 
8,66097-69 
8.65698-79 

5.65317-23 
8,6495228 
8,64602-93 
8.64268-44 
8.63948-08 




Log. a*. 



8,63641-15 
8,633^7-00 
8,63065-02 
8,62794-62 
8,62535-28 
8,62286-^5 
8,62047-69 
8,61818*53 
8,61598-50 
8,61387-32 

8,61184-31 
8,60089-39 
8,60802*13 
8,60633-17 
8,60449-31 
8,60282*94 
8,60123-11 

8,59969'4i 
8,59821-61 

8,59679*46 

8,59542-71 
8,59411*16 
8,59284-57 
8,59162-77 

5.59045-57 

5,58932-74 
5.55834-15 

8,58710-61 

8,58618-97 

8,5853307 

8,58428-77 

8,58338-9« 
8,58252-38 
8,5816904 
5-55088-76 
8,58011-44 

5'57796o3 
8,5772941 
5.5766533 

5.57603-37 

5>57543-75 
5'57486*3o 

5'S7430-94 

f»57377-57 
8,57326-15 

5'57276-57 
8,57328*78 
8,57»82-7i 
$,5593080 



For explanation see pp. 216-228 



Log. 



0,78869-17 
0,80415-63 
0,81962-08 
0,83508-54 

0,55054-99 
0,86601 '44 

0,88147-90 

0,8969435 

0,91240-81 

o,93787*26 

0.94333-72 
0,95880-17 
0,97426*62 
0,98973*08 
*'005i9*53 
i,03o6s*99 
1,03613-44 
1,05158-90 
1,06705-35 
1,08251*81 

1,09798-26 

».i»344-7* 
1,13891-17 

«,i4437'63 

1,15^-08 

<»« 753053 
1,19076-99 
1,30633-44 
1,22169-89 
«> 237 16-35 

1,25262-80 
1,26809-26 
«»28355-7i 
1,39903*17 
1,3144863 
1,32995-07 

1.34541-53 
1,36087-98 

>.37634-44 
i,39»8o-89 

1,40727-35 
1,42273-80 
1,43820-26 
i>4S366*7i 
1,46913-16 
1,48450-63 
1,50006-07 

i,5i552 53 
1,5309898 

'»54645-M 



Tomb 



51 
52 

53 
54 
5 

5 

9 



61 
62 
63 
64 

69 
70 

71 
72 

73 
74 

'^ 

81 
82 

1^ 
1^ 

1^ 

89 
90 

9» 
92 

93 
94 
9! 



99 
100 
Peip. 



(288) 



COMPOUND INTEREST AND ANNUITIES 



Yean 



I 

2 

3 

4 

5 
6 

I 

9 
10 

II 
12 

13 
14 

\l 

17 
18 

19 
20 

21 
22 

23 
24 



'J 

^9 

30 

31 
32 
33 
34 

39 
40 

41 
42 
43 
44 

% 

% 

49 
50 



Log. r". 



0,01598-81 
0,03197-62 
0,04796-43 
0,06395-24 
0,0799405 
0,09592 -86 
0,11191-67 
6,12790-48 
0,14389-29 
0,1598811 

0,17586-92 

0,19185-73 
0,20784*54 
0,22383-35 
0,23982-16 
0,25580-97 
0,27179-78 
0,28778-59 
0,3037740 
0,31976-21 

0.3357S-02 

0,35173-83 
0,36772-64 

0,38371*45 
0,39970-26 

0,41569-07 

0,43167-88 

0,4476670 

0,46365-5' 
0,47964-32 

0,49563- 13 
0,51161-94 
0,52760-75 
0,5435956 
0,55958-37 
o,57SS7-»8 

o,59»5S-99 
0,60754-80 

0,62353-61 

0,63952-42 

0,65551-23 
0,67150-04 
0,6874885 
0,7034766 

0,71946-47 
0,73545-28 
0,7514410 
0,76742-91 
0,78341-72 

0,7994053 



4 



Per Cent. 



Log. a" 



0,01598-81 
9,72287-86 
9,5546588 
9.4375425 
9,34840-59 
9,2769492 
9,21767-79 
9,16731-26 

9 1237379 
9,08550-94 

9.05159-71 
9,02124-02 

8,99386-12 
8,96901-11 
8,94633-40 
8,92554-32 
8,90640-40 
8,88872-20 
8,87233-45 
8,85710-38 

8,84291-25 
8,82965-95 
8,8172572 
8.8056203 
8,70470-89 
8,7844369 
8,77476-09 

8,7656343 

!'7S7oi-55 
8,74886-70 

8,74115-52 

8,7338495 
8,72692-23 

8,7203485 

8,71410-50 

8,70817-10 

8,70252-72 

8,69715-60 

8,69204-10 

8,68716-73 

8,68252*09 
8,6780890 

8,6738597 

8,66982- 19 

8,66596-52 

■ 8, 662 28 01 

8.65875-75 
8,65538-91 

8,6521669 

8,6490837 



Log. c^. 



Log. 



8,64613-25 
8,6433069 
8,6406006 
8,6380081 
8,6355238 
8,63314-26 
8,63085-99 
8,62867-09 
8,6265714 
8,6245574 

8,62262-50 
8,62077-05 
8,61899-00 
8,61 728- 18 
8,61564-11 
8,61406-56 
8,61255-26 
8,61109-89 
8,60970-26 
8,60836-09 

8,60707-iS 
8,60583-25 
8,60464-16 
8,6034967 
8,60239-62 
8,60133-80 
8,6003205 
8,59934-21 
8,59840-11 
8.5974960 

8,5966254 

8,5957879 
8,59498-22 

8,5942071 
8,59346-13 
8,59274-37 
8, 59205 -31 
8,59138-85 
8,5907489 
8,59013-33 

8,5805408 
8,58897-05 
8,58842-14 
8,^8789-29 

8,58738-41 
8,1^8689-42 

8,58642-26 
8.58596-86 

8.58553- 13 
8,58511*03 

8.57493*13 



0,81539-34 
0,83138-15 
0,84736-96 

0,86335-77 
0,87934-58 

0,89533-39 
0,91132*20 

0,9273101 

0,94329-82 

0,95928-63 

0,97527-44 
0,99126-25 

1,00725*06 
1,0232387 
1,03922-69 

1,05521-50 
1,07120-31 
1,08719-12 
1,10317-93 
1,11916-74 

1,13515-55 
1,15114-36 
1. 16713-17 
1,18311-98 
1. 19910-79 
1,21500-60 
1,23108-41 
1,24707-22 
1,26306-03 
1,27904-84 

1,29503-65 
1,31102-46 
1,32701-27 
i,343«509 

1,35898-90 

1.374977 » 
1,39096-52 

1,40695-33 

1,42294-14 

1.43892-95 

1. 45491-76 
1,47090-57 
1,48689-38 
1,50288- 19 
1,51887-00 
1,53485-81 
1,55084-62 
1,56683-43 
1,58282-24 
1,59881-05 



Yean 



51 

52 
53 
54 
5 



II 



61 
62 

67 
68 

69 
70 

71 

73 

73 
74 



81 

82 

83 
84 

u 

87 

88 

89 
90 

91 
92 
93 
94 

95 
96 

97 
98 

99 
100 
Perp. 



I 

I 



(289) 



LOGARITHMIC TABLES OF 



:: ! W 



Years 



i 

7 
8 

9 

lO 

u 

12 

•9 

20 

21 
22 

23 

24 

25 
26 

1^ 

29 
30 

31 

32 

33 
34 
3 

37 

38 

39 
40 

41 

42 

43 
44 

46 

47 
48 

49 

50 



Log. r*. 



1 0^01651*10 

2 0,03302-21 

? 0.04953 3 « 
4 0,06604-41 

0.08255-52 

0,09906-02 

0,1155773 
0,1320883 

0,1485993 

0,1651 1 04 

0,18162*14 
0,19813-24 
0,21464*35 
0,23115-45 
0,2^766-56 
0,26417-66 
0,28068 76 
0,29719-87 

0*3*370-97 
0,33023-07 

<>>34673i8 
0,36324-28 

0,37975-38 
0,3962649 
o,4» 277-59 
0,42928-70 
0,44579-80 
0,46230-90 
o,478»2-oi 
o,49S33<« 
0,51184-21 

0,52835-32 
0,5^86-42 

o,5o'37-53 

o>577^-63 

0,5943973 
0,61090-84 

0,62741-94 

o> 64303 04 

0,66044-15 

0,67695-25 
0,69346-35 
0,70997-46 
0,7264856 
0,74299-67 

0,7595077 
0,77601-87 
0,79252-98 
0,80904 08 
0,82555-18 



3S 



P«r CMit. 



Log. a-. 



o,oi6<i'io 
9*72365-81 
9,55569- »6 
9,43882-53 

9,34993-56 
9,27872-24 
9,31969-15 
9.16956-32 
9,12622-23 
9,0882245 

9.05453-96 
9,02440 f)9 
8,99724-88 
8,97261-65 

8,95015-42 

8,92957-49 
8,0106^-39 

8,89316-72 

8,87698-17 

8,86195-01 

8,84705-47 

8,83489-44 
8,82268-19 

8,81124*08 
8,80050-41 
8,79041-29 
8,78091-47 
8,7719629 
8,76351-60 
8.75553-66 

8,7470908 
8,74084-85 
8, 73408- 17 
8,72766-54 
8,72157-69 

8,71579-50 
8,7103006 
8,70507-60 
8,70010-51 
8,69537-26 

8,69086-51 
8,6865693 
8,68247-36 
8,678:;6-68 
^,8,67483-87 
8,67127-97 
8,6678807 
8.66463-35 

»,()6l^3 02 

«.658>6-35 



Loj?. 



For explanation see pp. 216-228 



8,65572-6^ 
8,65301-26 
8,65041-60 
8,6479308 

8,64555-17 
8,64327-3 



327-35 
109-16 



8,64 

8,63900- 14 
8,6369986 
8,6350792 

8,63323-9^ 

8,63147-56 
8,62078-43 
8,62816-23 
8,6266065 
8,62511-40 
8, 62368 20 
8,62230-79 
8,62098-91 
8,61972-33 

8,61850-82 
8,61734-17 
8,61622-15 
8,61514-59 
8,61411-30 
8,61312-08 
8,6i3i6'79 
8,61125-24 
8,61037-30 
8,60952-79 

8,60871-60 
8,60730-58 
8,60718-60 
8,60646-54 
8,60577-28 
8,605 1072 
8,60446 73 

8,60385 -22 
8,6032608 

8, 60269 23 

8,60214-55 
8,6016200 
8.60111-46 
8,6006286 
8,60016-13 
8,5997»-»8 ■ 

8,59927-96 
8,5988640 
8,59846*42 
8,50807-96 
8,588a2-i7 



Log. r*. 



0,84206 -29 
0,85857-39 
0,87508-50 
0,891 59-60 
0,90810*70 
0,92461-81 
0,94112-91 

0,9576401 
0.9741C12 
0,99060*22 

1,00717-32 
1,02368-43 
1,04019-53 
1,05670-64 
1.07321-74 
1,08972-84 
1,10623-95 
1,12275-05 
1,1392615 
i.»5577-26 

1,17228-36 
1,18879-46 
1,20530-57 
1,22181-67 
i,2.?832-78 

1,25483-88 
1,27134-98 

1,2878609 

1.30437-19 
1,32088-29 

».33739-40 

'.35390-50 
1,37041-61 

1,38692-71 

1,40343-81 
1,4199^-92 
1,4364602 

1.45297-12 
1,46948-23 

».48S99-33 

1,50250-43 

1.51901-54 
1.53S52-64 
1.55203-75 

.1.56854-85 

'.58505-95 
1,6015706 

1,61808 16 
1.63459-26 
1.65110-37 



Tean 



51 
S» 

53 
54 

5 

I 

59 
60 

61 
62 
63 

66 

67 
68 

69 

70 

71 

72 

73 
74 

li 
II 
L' 

81 
82 

84 

85 
86 

87 
88 
89 
90 

9' 

92 

93 
94 

99 
100 
Perp. 



COMPOUND INTEREST AND ANNUITIES 



(290) 



Veara 



1 
2 

3 
4 

I 



9 
10 

II 
12 

13 
14 

1^ 
M 

'9 

20 

21 
22 

23 
24 

% 

29 

30 

3' 
32 
33 
34 

% 
% 

39 

40 

41 
42 
43 
44 
45 
46 

% 

49 

50 



Log. r". 



0,01703-33 
0,03406-67 
0,0511000 
0.06813-34 
0,0851667 

O, I0220'00 

0,11923-34 
0,13626-67 

0,15330-01 

0,17033-34 

0,18736*67 
0,20440*01 
0,22143-34 
0,23846-68 
0,25550-01 
0,27253-34 
0,28956-68 
0,30660-01 

0,32363-34 

0,34066 68 

0,35770-01 

0,37473- 
0,39176 

0,40880-01 

0,42583 -.^5 
0,44286-68 
0,45990*02 

0,47693-35 
0,4939668 
0,51100-02 

0,52803-35 
0,54506-69 
0,56210*02 

0,5791.3-35 
0,59616-69 

0,61 ^20-0''. 



0,63023*3(5 
0,6472669 
0,66430*02 
0,68133*36 

0,69836-69 
0,71540*03 

0,73243-36 
0,7^946-69 
0,76650*03 

o,78353-.36 
0,8005669 
0,8176003 
0,8346336 
0,85166-70 



P«r Cent. 



Log. a*. 



0,01 703* « 

9.72443-65 
9,55672-28 
9.44010*59 
9.35146-22 
9,28049*16 
9,22170-01 
9,17180*78 
9, 1 2869-97 
9,09093-12 

9.05747-23 
9,02756*23 
9,00062*38 
8,97620*77 
8,95395-82 
8,93358-85 
8,91486*40 

8,85759-04 
8,88160-50 
8,86677*02 

8,85296-84 
§,84009*86 
8,82807*3$ 
8,81681-66 
8,80626- 12 
8,79634-80 
8,78702-48 

8,7782^-52 
8,76996-73 

8,76215*40 

8,7547714 
8,7477892 
8,74117-97 
8,73491-80 
8,72898*10 
8,72334-80 

8,71799-95 
8,71291-83 

8,70808-79 
8.70349-33 
8,69912*00 
8,69495*78 
8,69099-20 
8,68721-27 
8,6836094 
8,68017-27 
8,67689*37 

8,67376-39 
8,67077*56 

8.66792-16 



Log. a" 



8,66510*48 
8,6625800 
8,66009-81 
8,65771*64 
8,65543*85 
8,65325*96 
8,65117*45 
8,64917*91 
8,64726*91 
8,6454404 

8,64368*93 
8,64201*22 
8,64040*56 
8.63886-65 
8,63739*16 
8,63597-82 
8,63462*35 
8,63332-48 
8,63207-97 
8,6308859 

8,62974*11 
8,62864*32 
8,62759*01 
8,62657-99 
8,62561-08 
8,62468*09 
8,6237889 
8,62293*26 
8,62211-11 
8,62132*25 

8,6205656 
8,61983-91 
8,61914-16 
8,61847*21 
8,61782-92 
8,61721-20 
8,61661-94 
8,61605-03 
8,61550-38 
8,61497-89 

8,61447-48 
8,61399-08 

8,61352-58 
8,61307-91 
8.61265-01 
8,61223-80 
8,61184-21 
8,61146*18 
8,61 109-64 
8,61075*53 
8,60200*00 



Log. r". 



0,86870*03 

»,88573-36 
0,90276*70 

0,9198003 

0,9368337 
0,95386-70 
0,97090-03 

0,98793-37 
1,00496*70 

1,02200*04 

1,03903-37 
1,05606-70 

1,0731004 

1.09013-37 

1,10716*71 

1,12420*04 

1.14123-37 
1,15826-71 

1,1753004 

1.19233-38 

1,30936*71 
1,22640-04 

1.2434338 
1,26046-71 
1,37750-04 
1,29453-38 
1.31156-71 
1,32860-05 

1.34563-38 
1,36266-71 

1,370700s 

1.39673-38 
1.41376-72 
1,43080-05 
1,44783-38 
1,46486-73 
1,4819005 

1.49893-39 
i.5'S96-72 
1.53300*05 

1.5500,3-39 
1,56706-72 

1,5841006 
1,60113-39 
1,61816*72 
1,63520*06 
1,65223*39 
1,66936*73 
1,68630-06 
1.70333-39 



Ye»n 
S» 

s» 

53 

54 

5^ 

57 
58 

60 

61 
63 
63 
64 

% 

67 
68 

69 
70 

71 

73 

73 
74 

]i 

\l 
IS, 

81 
83 

83 
84 
85 
86 

1^ 

89 
90 

9» 
93 

93 
94 

^? 

9t 

98 

99 
100 
Perp. 



(291) 



\ f m 

! J Hi 




LOGARITHMIC TABLES OF 



Years 



I 

3 

3 

4 

I 
I 

9 
lo 

II 

12 

«3 
M 

20 
21 

«3 
24 

2 

2 

2 



29 

30 

31 
3a 
33 
34 

^4 



39 
40 

41 
4a 
43 
44 

:^ 



49 

|0 



Log. »*. 



0,035 II 00 
0,0526650 
0,0702201 
0,08777-51 
o»">S3.roi 
0,12288-51 
0,1 4044 01 

o> 1579951 
o.»755Soi 

o.»93»o*52 
0,2106602 
0,22821-52 
0,24577-02 
0,26332-52 
0,2808802 
o. 29843-52 
o>3i599 03 
0.33354-53 
o.3S»>oo3 

0.36865-53 
0,38621-03 

0,40376-53 
0,42132-03 
0,43887-54 
0,45643-04 

0.47398-54 
0,49154-04 

0,5090954 
0,5266504 

0,54420-54 
0,56176-05 

0.57931-55 
0,59687-05 

0,61442-55 

0,6319805 

0.64953-55 
0,66709-05 

0,68464-56 

0,70220-06 

0,7197556 
0,73731-06 
0,75486-56 
0,77242-06 

0,78997*56 
0.80753-07 
0,82508-57 
0,84264-07 
0,86019-57 

0,8777507 



§ Per Cent. 



Log. a". 



0.01755-50 
9,72521-38 
9.55775-22 
9.44138-41 

9.3529856 
9,28225-70 
9,22370-38 
9,1740465 
9,13116-98 
9,09362-95 

9.06039-52 
9,0307066 
9,00398-60 

8,97978-44 
8,95774-61 

8,93758-43 
8,91906-43 
8,90199 19 
8,88620-44 
8,8715642 

8,85795-38 

8.84527-23 
8,83343-21 
8,82235-70 
8,81198-01 
8,80224-25 

s! 78448-13 

8.77636-97 
8,76871-95 

8,761^9-70 
8,75467-20 
8,74821-68 
8,74210-64 
8,73631-76 
8,7308304 
8,72562-48 
8,7206834 
8,7*599-02 

8,7i»53oo 
8.70728-94 

8,70325*53 
8,69941-61 
8,69576-03 
8,69227-85 
8,6889605 
8,68570-77 
8,68278-17 
8,67990-48 
8,67715-96 



Lopr. a". 



8,67453-95 
8.67203-7S 

8,66964-88 

8,66736-68 

8,66518-65 

8.66310-27 

8,66111-09 

8,65920-66 

8'65 73854 

8.65564-36 

8.65.W-73 
8,65238-31 

8.65085-75 

8,64939-74 

8,6479998 

8,64666-16 

8,6453804 

8,64415-35 
8,64297-84 

8,64185-29 

8,64077-48 
8,63074-18 
8,63875-20 
8.63780-36 
8,63689-47 
8,63602-38 
8,63518-88 
8,6343884 
8,63362-11 
8,63288-56 

8,6331803 
8,63150-40 

8.63085-55 
8,63023-37 

8,62963-73 
8,62006-52 
8,62851-67 
8,62799-04 
8,62748-56 
8,62700-13 

8,62653-67 
8,62609-10 
8,6256634 
8,6252532 
8,6248595 
8,62448-18 
8,62411-93 
8.62377-15 
8.62343-77 
8.62311-74 
8,61542:40 



For explanation see pp. 216 228 



(292) 



Log, r*. 



0,89530-57 
0,9128607 

0,9304 « 58 
o,9jf797-o8 
0,9655258 
0,98308-08 
1,00063-58 
1,01819-08 

»,03574-58 
",05330-09 

1,07085-59 
1,08841 -09 
>> 10596-59 
«, 1 2352-09 
'>i4'07-59 
1,15863-/0 
1,1761860 
1,19374-10 
1,21129-60 
1, 22885- 10 

1,2^640*60 

1,26396-10 

1,28151-61 

1,29907-11 

1,31662-61 

1,33418 II 

»,3Si 73 61 

1,36929-11 

1,38684-61 

1,40440- 1 2 

1,42195-62 
i,4395»-»2 
1,45706-62 
1,47462-12 
1,49217-62 
1,50973-12 
1,5272863 
1,54484-13 
1,56239-63 
«,57995-»3 

«,S9750-63 
1,61506-13 
1,63261-63 
1,6501 7- 14 
1,66772-64 
1,6852814 
1,70283-64 

',7203914 
». 7379464 

i. 7555014 



Years 



5» 

52 
53 
54 



i 



61 
62 

69 

70 

71 

72 

73 
74 

li 

81 
82 

?^ 

u 

89 

90 

91 
92 

93 
94 
9 
9 

'^ 

99 

100 
Ptrv 



COMPOUND INTEREST AND ANNUITIES 



Years 

I 

2 

3 

4 



i 

I 

9 
10 



II 
12 

13 

•4 

•5 
16 

>7 
18 

»9 
20 

21 
22 

23 
24 

21 

2 

29 
30 

31 
32 
33 
34 
35 
36 



39 

40 

41 
42 

43 
44 

47 
48 
49 
50 



Log. r". 



0,01807-61 
0,03615-21 
0,05422-82 
0,07230-43 
0,09038-03 
0,10845-64 
0,12653-24 
0,14400-85 
0,16268-46 
0,18076-06 

0,19883-67 
0,21691-28 
0,2349888 

0,2530649 
0,27114-10 

0,28921-70 

o,.^o729-3i 

o,32536-9» 
o,.M344-52 
0,3615213 

0.37959*73 
0,39767-34 
0,41574-95 
0,43382-55 
0,45190*16 

0.46997-77 
0,48805-37 

0,50612-98 

0,52420-58 

0,54228-19 

0,56035-80 

0,57843*40 
0,59651-01 
0,61458-62 
0,63266-22 
0,65073-83 
0,66881-44 
0,68689-04 
0,7049665 
0,72304-25 

0,74111-86 

o. 759 » 947 
0,77727-07 

0,79534-68 
o.§i342-29 
0,83149-89 
0,84957-50 
0,86765-11 
0,88572-71 
0,90380-31 



Log. a 



0,01807-61 
9,7259901 
9,5587801 
9,44266-01 
9.3545062 
9,28401-84 
9,22570-26 
9,17627-92 

9. '3363-29 
9,0963 1 94 

9,0633085 
9.0.3383-97 
9,00733-55 
8,9833469 
8,961; I 80 
8,9415622 
8,92324-48 

8,9063717 
8,8907801 

8,87633-24 

8,86291*12 
8,85041- 

8,8387s 
8,82786-22 
8,81766-13 
8,80809-65 

8. 799" 55 
8,70067-16 
8,78272-3^ 
8,77523*30 

8,76816-83 

8,7614975 
8,75519*36 

8.74923-13 
8,74358-80 

8,73824-30 
8,73317*68 
8,72837-21 
8,72381-26 
8,71948-36 

8,71537*12 
8,71146-29 
8,7077466 
8,70421-13 
8,70084-71 
8,69764-42 

8,69459-41 
8,69168-82 

8,68891-89 

8.68627-91 



4 Per Cent. 



Log. a". 



8,68376-10 
8,68136-08 
8,67907-02 
8,67688-42 

8,67479*75 
8,67280-54 

8,67090-29 

8,66908-58 

8,66735-01 

8,66569-14 

8,66410*64 
8,6625914 
8,66114*32 
8,65975*84 
8,6584343 
8,65716-79 
8.65595-66 

8,6547078 
8,65368-02 
8,65262-84 

8,65161-3^ 
8,6506418 
8,64971-21 
8,64882-20 
8,64796-99 
8,64715-40 
8,64637-30 
8,64562-« 
8,64490-89 
8,64422-30 

8,64356-61 
8,6429368 
8,64233-41 
8,6417569 
8,64120-37 
8,64067-38 
8,64016-61 
8,6396797 
8,63021-36 
8,63876-70 

8,63833-01 
8,63792-80 

8,63753-58 
8,63715-92 
8,63679-81 
8,63645-21 
8,6^612-04 
8,63580-26 

8,63549-78 
8.6v';20-58 
8J»'28i8-89 



(293) 



Log. »*. 



0,92187-92 

0,93995-53 
0,95803-14 
0,97610-74 
0,99418-35 
1,01225-96 
1,0.3033-56 
1,04841-17 
1,06648-78 
1,0845638 

1,10263-99 
1,12071 59 
1,1387920 
1,15686-81 

1,17494-41 
1,19302-02 
1,21109-63 
1,22917-23 
1,24724-84 
1,26532-45 

1,283400s 
1,30147-66 
i,3'9.S5'26 
1,3376287 

1,3557048 
1,3737808 

1,39185-69 
1,40993 -.30 
1,42800-90 
1,44608-51 

1,46416-12 
1,48223-72 
1,50031-33 
i,5»838-93 
1,53646-54 
1,55454' 15 

1,57261-75 
1,59069-36 

1,60876-97 

1,62684-57 

1,64492- 18 
1,66299-79 
1,68107-39 
1,69915-00 
1,71722-60 
1,73530-21 
1,75337-82 
1,77145*42 
1,7895303 
1,80760-64 



Years 



51 
52 
53 

54 

% 

61 
62 
63 
64 

^6^ 

69 
70 

71 

72 

73 

74 

?? 
& 

81 
82 

1^4 

89 
90 

91 
92 
93 
94 
9' 



99 
100 

Perp. 



ii 



f^ t T. 



Hi 



i f fi 



LOGARITHMIC TABLES OF 



8 



41 
42 
43 
44 
4 

47 
48 

49 
50 



Tews 
1 

2 

3 

4 

I 

9 
10 

II 
12 
«3 
M 

1^ 

\l 

19 
20 

21 
22 

»3 
24 

^9 
30 

31 
32 
33 
34 
3 

3 

39 
40 



Log. »*. 



0,01859-65 
o.037i9'3o 

o»oS57«*9S 
0,07438-60 

0,0929824 

0,11157-89 

0,1301754 
0,14877-19 

0,16736-84 

0,1859649 

0,20456-14 

o,"3iS79 
o^24«7S-44 
0,26035-08 
0,27894-73 

0.29754-38 
0,3161403 
0,3347368 

0,3533333 
0,37192-98 

0,39052-63 
0,40912-27 
0,42771-92 

0,44631-57 
0,46491*22 

0,48350-87 

0,50210-52 

0,52070-17 

0,53929-82 

0,55789-47 

0,57649-11 

0,59508-76 

0,61368-41 

0,6322806 

0,65087-71 

0,66947-36 

0,68807-01 

0,7066666 

0,72526-31 

0,74385-95 

0,76245-60 
0,78105-25 

0,7996490 
0,81824-55 

0,83684-20 

0,8554385 

0,87403-50 

0,89263-14 

0,91122*79 

0,92982-44 



Log. 



0,01859-65 
9,72676-52 
9,55980-63 

9,44393-37 
9,35602-36 

9.28577*58 
9,22769-65 

9,17850-60 

9, 13608-89 

9,09900-10 

9,06621-22 
9,03696-18 
9,01007-23 
8,98689-51 
8,96527-40 
8,9455 2 24 
8,9274058 
8,9107300 
8,80533-21 
8,88107-48 

8.86784-06 
8,8555285 
8,84405-12 

8.82330-50 
8,81391-05 
8,801509-64 
8,79^1-64 
8,78902-88 
8,78169-64 

8.77478-56 
8,76826-60 
8,76211-02 

575629-31 
8,75079-21 

8,74558-62 
8,7406564 
8,73598-50 
8,73»5S-S2 
8,72735-50 

8,7*336-76 
8,7195814 

8,7*598-45 
8,71256-62 

8, 7093 '-63 
8,70622*51 

8,70328-41 
8,70048-49 
8,69781-98 
8.69528-17 



Per Cent. 



Log. a"' 



8,69286*38 

8;6883i38 
8,68627-02 
8,68427*38 
8,68236-96 
8,68055-30 
8,67881-98 
8,67716-57 
8,6755867 

8,67407-93 
8,67263*99 
8,67126-54 
8,66995-25 
8,66869-85 
8,6675003 

8.6663J-55 
8,66526- 14 

8,66421*58 

8,66321-63 

8,66226-11 
8,66134-77 
8,66047-44 

5.65963-94 
8,65884-09 

8,65807-72 

5.65734-67 
8,6566481 

5'65597'98 
8,65534*05 

8,65472-89 

8,65414-36 

8,65358-36 

5,65304-78 

5,65253-53 
8,65204*46 

5'65i57-5o 
8,65112-55 
f.65060-54 
8,65028*37 

5,64988-95 
8,64951-24 

5,64915-13 
8.64880*56 
8,64847-46 
8,64815-78 

5,6478544 
8,6475640 
8,64728-59 
8,64701 06 
&64P07-BI 



For explanation see pp. 216-228 



(294) 



Log. »-. 



0,94842*09 
0,96701*74 
0,98561*39 
1,00421-04 
1,02280-69 
1,04140-34 

',05099-98 
1,07859-63 
1,09719-28 
>,»»578 93 

«,«3438-58 
1,15298-23 
»,i7i57-88 

'''9017-53 
1,20877-18 

1,22736-82 

1,24596-47 

1,26456*12 

«,283iS-78 

".30175-42 

'.32035-07 

«.33894-72 

».35754-37 
1,37614-01 

1,39473-66 

1.4I333-3I 
1,43192-96 
1,45052-61 
1,46912*26 
1,48771-91 

",50631 -56 
1,52491-21 
".54350-85 
1,56210*50 
1,58070-15 
1,5992980 
1,61789-45 
1,63649-10 
',65508-75 
".67368-40 

1,69228-05 
1,71087-69 

',72947-34 
1,74806-99 

1,76666-64 

1,78526-29 

1,5038594 

1,82245-59 

1,84105-24 

1,8596488 



Teara 

5' 
5» 

53 

54 
5 

I 



6i 
62 

69 

70 

71 
7a 

73 

74 






81 
82 

89 

90 

91 
92 

93 
94 

99 
100 



COMPOUND INTEREST AND ANNUITIES 



1 

2 



Per Cent 



Y—nl Log. r" 



I 

2 

3 
4 

i 
i 

9 

10 

II 
12 

13 
14 

\i 

17 

18 

'9 

20 

21 
22 

23 
24 

2 

2 

2 



i 



29 

30 

31 
32 
33 
34 

li 
% 

39 
40 

41 
42 

43 
44 

% 

49 
50 



0,01911-63 
0,03823-26 

0,05734-89 
0,07646-52 
0,09558- 1 5 
0,11469-77 
0,13381-40 

0,15293-03 
o, 1 7204-66 
0,19116*29 

0,21027-92 
0,22939-55 
0,24851-18 
0,26762-81 
0,28674-44 
0,3058606 

0,3249769 
0,34409-32 
0,363209 
0,382325 

0,40144-21 
0,4205584 

0,43967-47 
0,45879-10 

0,47790-73 
0,49702-36 
0,51613-98 
0,53525-61 
0,55437-24 
0,57348-87 

0,59260-50 
0,61172-13 
0,63083 76 

0,64995-39 
0,66007-02 

0,68818-65 

0,70730-27 

0,72641-90 

0,7455353 
0,76465- 16 

0,7837679 
0,8028842 

0,82200-05 

0,84111-68 

0,86023-31 

0,87934-94 
0,89846-57 

0,91758-19 
0,93669-82 

0,95581-45 



Log. a\ 



0,01911-63 

9,72753-93 
9,56083-09 

9,44520-50 

9,35753-78 

9.28752-94 
9,22968-56 

9,18072-68 

9, '3853-79 
9,10167-43 

9,06910-61 
9,04007-27 

9,01399-67 
8,9904291 

8,96901-41 

8,9494650 

8,93154-73 
8,91506-67 

8,8998607 

8,88579-16 

8,87274-21 
8,86061-13 
8,84931-18 

8,83876-74 
8,82891-13 
8,81968-46 
8,81103-49 
8,80291-60 
8,7952863 
8,78810-85 

8,78134-92 
8,77497-81 
8,7689674 
8,76329-26 
8,7579306 
8,7528608 
8,74806-41 
8,74352-30 
8,73922-14 
8,735"4-4H 

8,73127-9' 
8,7276118 

8,72413-12 

8,72082-64 

8,71768-73 

8,71470-45 
8,71186-91 

8,70917-3' 
8,70660-87 
8,70416-90 



Log. a" 



8,7018469 
8,69963-65 
8,69753-17 
8,69552*71 
8,69361-74 
8,69179*78 
8,69006-37 
8,68841-06 

8,68683-47 
8,68533-19 

8,68389-87 
8,68253-16 
8,6812274 
8,67998-31 

8,67879-57 
8,67766-24 
8,6765807 
8,6755480 
8,67456-22 
8,67362-09 

8,67272-20 

8,67186-36 

8,67104-37 

8,67026-06 

8,66051-2 

8,66879-7 

8,66811-51 

8,66746-27 

8,66683-9 

8,66624-3 

8,66567-43 
8,6651302 

8,66461 02 
8,66411-32 
8.66363-81 
8,66318-40 
8,66274-98 
8,66233-48 
8,66193-80 
8,66155-86 

8,6611959 
8,66084-91 
8,6605 1*74 
8,66020-04 
8,65989*71 

8,65960-71 
8,65932-98 
8,65906*46 
8,65881*10 
8,65856-85 
8,65321*25 



Log, r". 



Yean 



0,97493-08 
0,99404-71 
1,01316-34 
1,0322797 
1,05139-60 
1,07051-23 
1,08962-86 
1,10874-48 
1,12786*11 
1,14697-74 

1,16609-37 
1,18521-00 
1,20432-63 
1,22344-26 

1.2425589 
1,2616752 

1,28079-15 
1,29990-78 
1,31902-40 

1,33814-03 
1,35725-66 

1,37637-29 
1,39548-92 
1,41460-55 
',43372-18 
1,45283-81 

',47'95-44 
1,49107-07 

1,51018-69 

',52930-32 

1,54841-95 
',50753-58 
1,58665-21 
1,60576-84 
1,62488-47 
1,64400-10 

1,66311-73 
1,68223-36 
1,70134-98 
1,72046-61 

1,73958-24 

1,7586987 

1,77781-50 

',79693-13 
1,81604-76 

1,83516-39 
1,85428-02 

',8733965 
1,89251*28 
1,91162-90 



5* 
$3 
54 



61 
62 

63 
64 
65 
66 

67 
68 

69 
70 

7" 

72 
73 
74 

\l 
II 

79 

8c 

81 
82 

83 
84 

85 
86 

87 
88 

89 
90 

9' 

92 

93 

94 

95 
95 

9/ 



99 
100 
Perp 



(295) 



LOGARITHMIC TABLES OF 



ll 



I 



Years 
1 

2 

3 
4 



Log. r*. 



0,01963-55 
0,03927-09 
0,0589064 
0,07854-19 
0,09817-74 
0,11781-28 

0'»3744-83 
o.»S7o8-38 
0,17671-93 

o> 1963547 

0,2159902 

o>«3S62S7 
0,2552611 

0,27489-66 

o»294S3'2i 
o,3i4»6-75 
0,33380-30 

o>35343-85 
0,37307*39 
0,3927094 

o>4"34'49 
0,4319804 

0,45*61 58 

0-47I25I3 
0,4908868 

0,51052-22 

0,53015-77 
0.54979*32 
0,5694287 
0,58906-41 

0,60869-96 
0,62833-51 
0,64797-05 
0,66760-60 
0,68724-15 
0,7068770 
0,72651*24 

0,7461479 
0,76578*.^ 
0,78541*88 

0,80505-43 
0,82468-98 
0,84432-53 
0,86396-07 
0,8835962 

0,90323*17 
0,92286-71 

0,94250-26 

0,96213-81 

0,98177-36 



41 



8 P«r Cent 



Lop. a". 



o;oi963-55 
9,72831-23 
9,56185-38 
9,44647*40 

9,3590490 
9,28927-90 
9,2316698 
9,18294-10 

9,14097-98 
9,10433-93 

9,0719905 

9.04317*27 
9,01730-84 

«»99394*89 
8,97-^73-83 

8,9533899 
8,93566-93 
8,91938-2 r 
8.00436-58 
8,8904829 

8,87761-60 

8,86566-43 

8,85454-04 

8,84416-79 

8,8344805 

8,825418^ 

8,81693-11 

8,8089707 

8,80149-62 

8,7944703 

8,7878596 
8,78163-38 

8.7757656 
8,77022-99 

8,76500-40 
8,76006-73 
8,7554006 
8,7509867 
8,74680-94 
8,7428539 

8,73910-67 
8.73555-52 
8,732«8-74 
8,72899-29 

8,72596-13 
8,7230835 

8,7203504 

8.71775-43 
8,71528-73 
8,71294-24 



For explanation see pp. 216-228 



Log-, ef. 

8,71071-30 
8,70859-26 
8,70657-58 
8,70465-67 
8,70283-03 
8,70109-20 
8,69943-60 
8,6978608 

8.69635-97 
8,69492-98 

8.6935676 

8,69226-94 

8,69103-24 

8,6898532 

8,68872-92 

8.68765-77 

8,68663-58 

8,68566-15 

8,68473-23 

8,6838459 

8,68300-05 
8,68219-39 
8,68142-44 
8,68069-0^ 
8,67998-95 
8,67932-11 
8,67868-30 
8,67807-40 
8,6774928 
8,67693-79 

8,6764083 
8,67590-27 
8,67542-00 
8.6749590 
8,67451-90 
8,67409-89 
8.67369-77 

8.67331-45 
8,6729485 
8,67259-91 

8,6722654 
8,67194-66 
8,67164-22 

g.6713514 
8,67107-38 
8,6708084 
8,67055-51 
8,67031-30 
8,67008-17 
8,66986-08 
8,66511-17 



(296) 



i 



Log. f-. 



T«Ar« 



1,00140-90 
1,0210^-45 
i,odo68-oo 
1,06031-54 

'»o7995-o9 
1,0995864 

I>II922-l8 

',13885-73 
I, 15849-28 
1,1781283 

'>»9776-37 
1,21739-92 
''23703-47 
1,2566701 

'>2763o-56 

'>«9594.'" 
'»3i557-66 
1,33521-20 

'.35484-75 
'>3744»*3o 

',394' I 84 

'»4»375*39 
»»4.U=j8-94 
'»45302-49 
1,47266-0^ 
1,49229-58 

''S"93-»3 
'.53156-67 
',55'2o-22 

'.57083-77 

'.59047 -32 
1,61010-86 
1,62974-41 

',6493796 
1,66901-50 
1,68861; -05 
1,70828-60 
1,7279214 

'.74755-69 
'.76719-24 

1,78682-79 
1,80646-33 
1,82609*88 

'.84573*43 
'.86536-97 

1,88500-52 

1,90464-07 

1,92427-62 

'.9439' ''6 

'.96354*7' 



5' 
52 

S3 

54 
5 

i 



61 
62 

69 

70 

7« 

72 

73 
74 

li 



80 

81 
82 

84 
85 
86 

87 
88 

89 

90 

9' 
92 
93 
94 
9i 



99 
100 
Porp. 



COMPOUND INTEREST AND ANNUITIES 



3 

4 P«r Cent 



Yeus 



1 

2 

3 
4 

i 



9 
10 

11 

12 

»3 
'4 

'5 

16 

\l 

'9 

20 

21 

22 

23 
24 



Log. f. 



% 

29 
30 

31 
32 
33 
34 
3 

% 

39 
40 

41 
42 

43 
44 

t 

47 
48 

49 
50 



0,02015-40 
0,04030-81 
0,060^6-21 
0,08061 -61 
0,1 0077 02 
0,12092-42 
0,1^107*82 
0,16123-23 
0,18138-63 
0,20154-03 

0,22169-43 
0,24184-84 
0,26200-24 
0,28215-64 
0,30231-05 
0,32246-45 
0,34261-85 
0,36277*26 
0,38292-66 
0,4030806 

0,4232347 

0,4433887 
0,46354-27 
0,4836968 
0,50385-08 
0,52400-^8 
0,54415-89 
0,5643' 29 
0,584^6-69 
0,60462-09 

0,62477-50 
0,64492-90 
0,66508-30 
0,68523-71 

0,70539" 
0,72554-5' 
0,74569*92 
0,76585-32 
0,78600-72 
0,80616-13 

0,82631-53 
0,84646-93 
0,86662-34 
0,88677-74 

0,90693- 14 
0,9270855 

0,94723-95 
0.96739-35 
0,98754*76 
1,00770-16 



Log. 



0,02015-40 
9,72908-42 
9,56287-51 
9,44774-06 
9.36055-72 
9,29102*49 
9.23364-92 

9,«85'5-o9 
9,14341-46 

9,10699-61 

9,07486-53 
9,04626*17 
9,02060*78 

8,99745-47 
8,97644-69 

8,95729*73 

8,9397719 
8.92367-61 

8,9(^4-76 
8,8951488 

8,88246-23 
8,87068-74 
8,85973*67 
8,84953*41 
8,84001-27 
8,83111-39 
8,82278-54 
8,81498-08 
8,80765-87 
8,80078-20 

8,7Q43'*72 
8,78823-40 

8,78250-53 

8,77710-58 

8,77201-31 

8,76720-63 

8,7626667 

8,75837-68 

8,7543206 

8,75048-34 

8,74685-14 
8,74341-23 

8,74015-43 
8,7370668 

8,734'3-95 
8, 73 '36-33 
8,7287294 
8,72622-99 

8,72385*7' 
8,72160*37 



Log. a" 



8,7'946-35 
8,7174301 

8,7»549-78 
8,71366-10 
8,71191-48 
8,71025-44 
8,70867-50 
8,70717-27 
8,70574*32 
8,70438-3? 

8,70308-84 
8,70185-62 
8,7006^-30 
8,699 156-60 
8,698'5o*24 

8,69748-94 
8,69652-44 
8,69560-54 

8,6947297 
8,69389-54 

8,69310-05 
8,69234-29 
8,69162-io 
8,69093-28 
8,69027-69 
8,68965-17 
8,68905-56 
8,6884^-74 
8,68794-56 
8,6874290 

8.68693-64 
8,68646-64 
8,68601-87 
8,68559-15 
8,68518-40 

8,68479-5.^ 

8,6844247 
8,68407-12 

8,6837339 

8,68341 -22 

8,68310-52 
8,68281-24 
8,68253-31 
8,68226-66 
8,68201-23 
8,68176-07 
8,68153-83 

8,68131-74 
8,681 10 67 
8,68090-56 
8,67669-36 



Log. r*. 



1,02785-56 
1,04800-96 
i,o68i6'37 
1,08831-77 
1,10847-17 
1,12862*58 
1,14877*98 
1,16893-38 
1,18908-79 
1,20924*19 

'.2293959 
1,24955-00 

1,26970-40 

1,28985-80 

1,31001-21 

1.33016*61 

'.35032*01 

',37047 ^i 
1,39062-82 
1,41078-aa 

'.43093-62 
1,45109-03 
1,47124-43 

i.49'3983 
'.S"SS'24 
1,53 '70-64 
1,55186-04 
1,57201-45 
1,59216-85 
1,61232-25 

1,63247*66 
1,65263-06 
1,67278-46 
1,69293-87 
1,71309-27 
1,73324-67 
1.75340-07 

',77355*48 
1,79370-88 
1,81386-28 

1,83401-69 

1,85417-09 

1,87432-49 

1,89447-90 

',9'463-30 

',93478-70 

1,95494" 

',97509s' 

',995249' 
2,oi54»-3a 



Years 



ii 



5' 

52 
53 
54 

61 
62 

^^ 

% 

% 

69 
70 

71 

72 

73 

74 

\i 

81 
82 

1] 

% 

89- 
90 

9' 
92 
93 
94 



99 
100 
Perp 



(297) 



LOGARITHMIC TABLES OF 



4 



7 
8 



P«r C«Bt. 



Yean 



T 



1 

a 

3 

4 

i 

9 

lO 

II 

12 

«3 
'4 

'9 

20 

21 
22 

23 
24 

2 

2 

2 

29 

30 

31 
32 

33 

34 

3 

3 

37 

38 

39 
40 



41 
42 
43 
44 

4 

47 

48 

49 

50 



Log. I*. 



0,02067 20 

0.04 134 '39 
0,06201 '59 

0,0826879 

0.10335 99 
0,1 2403 18 
0,14470-38 
0,16537-58 
0,1860478 
0,20671-97 

0,2223917 
0,24806-37 
o>26873-57 
0,28940-76 
0,3100796 
0,33075* '6 
0,35142-36 
0,37209-55 

0,392767s 
o,4i343-95 

o,434"'iS 

0,4547834 

0,47545-54 
0,49612-74 

0,51679-93 

0,53747-13 

0,55814-33 
0,57881-53 

0,59948-72 
0,62015-93 

0,64083-ia 
0,66150-33 
0,68217-51 
0,7028471 

o, 7235 > '91 
0,7441911 

0,76486-30 

0,78553-50 
0,80620-70 
0,82687 90 

0,8475509 
0,86822 29 
0,88889-49 
0,9095668 
0,9302388 
0,95091 -08 
0,97158-28 
0,99225-47 
1,01292-67 
'.03359-87 

1 



Log. a". 



0,02067 20 
9,7298550 
9,56389-48 
9.44900-52 

9,36206-24 
9,29276-63 
9,2356238 
9,18735-42 
9,14584-26 
9,10964-48 

9,o7773'07 

9,0493397 
9,02389-47 

0,00094*66 

8,98013-97 
8,96118-75 

8,94385-53 
8,92794-91 

8,01330-63 

8,89978-94 

8,8872813 
8,8756810 
8,86490- 12 
8,85486-59 
8,84550-83 
8,83676-96 
8.82859-78 
8,82094-66 

8,81377-44 
8,80704*41 

8,80072-24 

8,79477-91 
8,78918-68 
8,78392-07 
8,7789582 
8,7742786 
8,76986-30 
8, 76569-40 
8,76175-59 
8,75803-37 

8,75451*40 
8,75118-42 
8,74803-29 

8,74504-91 
8,74222-31 

8.73954-54 
8,73700-75 
8,7346012 

8,73231*93 
8,73015-45 



Log. a" 



8,7281003 
8,72615-06 
8,72429-97 

8,722<4-20 

8, 72082 27 
8,71928-69 
8,71778-03 
8,71634-85 
8,71498-77 
8,71369-41 

8,71246-42 
8,71129-47 
8,71018-25 
8, 709 1 2 •46 
8,70811-83 
8,70716-10 
8,70625-00 

8,70538-33 
8,70455-84 
8.70377*33 

8,70302-61 
8,70231-47 
8,70x63-75 
8,70099-29 
8,7003790 
8,69979-44 
8,69923-78 
8,69870-77 
8,69820-29 
8,69772-21 

8,69726-41 
8,6968278 
8,69641-23 
8,69601-64 

8,6956393 
8,6952800 

8,69493-77 
8,69461-16 
8,69430-07 
8,69400*47 

8,69372 •2S 
8,69345-36 

8.69319*74 
8,69295-32 

8,6927201; 
8,69249-8^ 
8,69228-74 
8,69208-60 
8,69189-40 
8,69171-11 
8,68797-46 I 



For explanation see pp. 216-228 



(298) 



Log. >*. 



1,05427-07 
1,07494-26 
1,09561-46 
1,11628-66 
1.1369586 
1.1576305 
1,17830-25 

1,19897-45 
1,21964-65 

1,24031-84 

1,26099-04 
1,28166-24 
1.30233-44 
1,32300-63 
1,34367-83 

1.36435*03 
1,38502-23 
1,40569-43 
1,42636-62 
1,44703*82 

1,46271-01 
1,48838-21 

1.50905*41 
1.52972-61 

i.SSO.^9-80 
1.57107-00 
1.59174-20 
1,61241-40 
1.63308-59 

'.65375*79 

1,67442-99 

1,6951010 

1.71577*38 

1.73644-58 

1,75711 78 

1.7777897 
1,79846-17 

1,81913*37 
1,83980-57 
1,86047-76 

1,88114-96 

1,90182-16 

1,92249-36 

1.94316-55 

1,96383-75 

1,9845095 
2,00518-15 

2,02585-34 

2,04652-54 

2,06719-74 



Yem 

SI 
5* 

S3 
54 

5 

k 



61 
62 

63 
64 

u 

69 

70 

71 
72 

73 
74 



77 
78 

^ 

81 

82 

^•^ 
84 

85 
86 

87 
88 

89 
90 

91 
92 
93 
94 

95 
96 

97 



99 
100 



COMPOUND INTEREST AND ANNUITIES 



I 



Tears 

I" 

I 

2 

3 

4 

i 
I 

9 
10 

II 
12 

13 
14 

\i 

\l 

19 
20 

31 

22 

23 
24 



29 
30 

31 

S3 
34 

li 
% 

39 
40 

41 
42 
43 
44 

% 

49 
SO 



Leg. 1*. 



o, 
o 



0,021 18-«3 
04237*86 
0,0635679 
0,08475-72 
0,10594-6 

0,12713-5 

0,14832-51 

0,16951-44 

0,19070-37 

0,21189*30 

0,23308-23 
0,25427-16 
0,27546-09 
0,29665-02 

0,31783* 
0,33902- 

0,36021-81 

0,38140-74 

0,40259-67 

0,42378-60 

1,46016-46 
0,48735*39 
0,50854*32 
0,52973*25 
0,55092-18 
0,57311-11 
0,5933004 
0,61448-97 
0,63567-90 

0,65686-83 
0,67805 'lb 
0,69924-69 
0,72043-62 
0,74162-55 
0,76281-48 
0,78400-41 

0,805 iQ-34 
0,82638-27 

0,84757-20 

0,86876-13 
0,88995*00 
0,91113*99 
0,93232-93 
0,95351*85 
0,97470*78 

0.99589*71 
1,01708-64 

1,03827-57 

1,05946-50 



Log. t^. 



5 pm* 



0,02118-9^ 
9,73062-48 

9, 56491 '<8 

9,450 26-7* 

9,30356*45 
9,29450-47 

9,2375936 

9,18955 15 
9,1482635 

9,11328-51 

9,0805865 
9,05240-70 
9,02716*92 
9.00442-44 
8,98381*70 
8,96506-01 

8,94791*94 
8,9^220-08 

8,91774-18 
8,90440-49 

8,89207-30 
8,88064-50 
8,87003-40 
8,86016-37 
8,85096-74 
8,842^866 
8,8343689 
8,82686-83 

8,81984-33 
8,81325-70 

8,8070756 
8,8012694 
8,79581-08 
8,79067-52 

8,78584-01 
8,78128-46 
8,77699-01 
8,77293-92 
8,76911-60 

8,7655058 

8,76209-53 

8,75887*19 
8,75582-41 
8,75294-11 
8,75021-31 

8,74763*09 
8,745'8-58 
8,7428698 

8.74067-57 
8,73859*61 






Gwt. 



Log. tT- 



8 73662-40 

8,7347S*5» 
8,7329832 



8,73130-16 
8,72970-62 
•8,72819-22 
8,72675-52 
8,72539*10 

8,72409*57 
8,72286-57 

8,73160-75 

8,72058-78 

8,71953*37 

8,7i8S3*5«> 
8,yi75»«2 

8,71667-58 

8,71581 60 

8,7149988 

8,71422 21 

8,7134834 

8,71278-11 
8,71211-34 

8,71147*85 
871087-46 
8,7103003 
8,70975*40 

8,70923*43 
8,7087400 

8,70826-98 

8,70782-24 

8,70739-67 
8,70699-17 
8,70660-63 
8,70623-97 
8,70589-07 
8,70555*86 
8,70524-26 
8, 70494- 18 
8.70465*56 
8,70438*32 

8,70412*39 
8,70387*70 
8,70364-21 
8,70341*85 
8, 70320-56 
8,70300-30 
8,70281*04 
8,70262-64 
8,70245-16 
8,70228*53 
8^69897 -00 



Log. r*. 



1,08065-43 
1,10184*36 
1,12303-28 
1,14422-21 

1,16541-14 
1,18660-07 

1,2077900 

1,22897-03 

1,25016-86 

1,27135*79 
1,29254*72 
1,31373-65 
1,33492*58 
1,35611*51 
1,37730-44 

1,39849-37 
1,41968-30 

1,44082-23 

1,46206-16 

i.4832S-«9 

1,5044403 



1^56800-81 
i.$89ia*74 
1,61038-67 
1,6315760 

1.65276-53 
1.67395-46 
1.69514*39 

1,71633*32 
1.73752*25 
1,75871*18 

1,27990*11 
1,80109-04 
1,82227*97 
1,84346-90 
1,86465-83 
1,8858476 
1,90703*69 

1,92822-62 

1,9494^*55 
1,97060-48 

1,99179*41 
2,01298-34 
2,03417-37 
2,055.^6* 20 
.2,o;()55-i3 
a,o9274-o6 
3,11892-99 



Yean 



51 
52 
bb 
54 

li 

61 
62 

69 
7» 

71 

73 

73 

74 



81 
82 

89 
90 

91 
92 

93 
94 

'4 



99 
100 

p 



?i • 



(299) 



i i 



11 



LOGAKITILMIC TABLES OF 



COMPOUND INTEREST AND ANNUITIES 



Tran 

X 
2 



3 
4 

7 
8 

9 

lO 

II 

12 

«4 

\i 

17 
i8 

«9 

20 

21 
22 

26 
27 
28 
29 

30 

31 

32 

33 

34 

3 

3 

3 

39 
40 

41 
42 
43 
44 
45 
46 

'47 
48 

49 

50 



Log. r". 



o,o2i7o"6o 

0,04341-20 

0,06511-80 

0,08682-40 

0,10853-00 

0,1302361 

0,151941: 

0,17364-81 

o>'9535'4« 
0,2170601 

0,2387661 
0,26047-21 
0,28217-81 
0.30388-41 
0,3255901 
0,34729-61 
0,36900-21 
0,3907082 
0,41241*42 
0,43412-02 

0,45582-62 
o,477S3'22 
0,49923-82 

0,52091-42 
0,54265 02 
0.56435 62 
o,;8oo6-22 
0,60/76 82 
0,6*9 47 '43 
0,65118-03 

0,6728863 
0.69459-23 
0,7162983 
0,73800-43 

o. 7597 « -03 
0,78141 63 
0,80312-23 
0,8248283 
0,84653-43 
0,86824-04 

0,88994-64 
0,91165-24 

0=9333584 
0,95506-44 

0,97677-04 
0,9984764 
1,02018-24 
1,04188-84 
',0635944 
1 ,0853004 



O 4: Percent. 
8 



Log. a* 



0,02170-60 

9.7313934 
9,56592-92 

9,4Si52-7a 
9,36506-37 
9,29623-89 • 

9.2395585 
9.»9'74-3> 
9.1506775 
9,1 « 491 73 

9,08343-27 

9>o5546-32 
9,03043-14 

9,00788-84 
8,98747-86 

8,96891-55 
8.95 '96-44 
8,93643- «6 
8,92215-44 
8,90899-55 

8,80683-75 
8,88557-9^ 

8,87513.^1 
8,86542-75 
8.8;639-o3 
8,8 1796-48 
8,84009-88 
8,8.^274-64 
8,82586-60 
8,8194208 

8,8i337-7» 
8,8077053 

880237-78 

8 7973698 
8,79265 92 

8,78822-51 
8.78404-37 
8,78011-28 
8,77640-17 
8,7729008 

8,76959-63 
8, 76647 63 

8,7635290 

8,76074-38 

8,75811-08 

8,75562-10 

8,75326-57 

8, 75' 03-70 

8,74892-76 

8,7469304 



Log. a\ 



8.74503 '90 
8.74324-76 
8.74155-02 

8.7.^994-18 

8. 7384' -73 
8,73697-20 
8,73560-17 
8,73430-22 
8,73306-96 
8,73190-03 

8, 73079- 'o 
87297384 
8.7287394 
8.72779 13 
8,72689-12 
8,72603-69 
8,72522-58 

8,72445-55 
8,72372-41 
8,7230295 

8,72236-98 
8,72174-32 
8,72114-79 
8,72058-25 
8,7200453 

8, 7 '953-49 
8,71904-99 

8,71858-91 

8,71815-11 

8,71773-50 

8, 7' 733*9 
8,71696-31 

8,71660-65 

8,7162669 

8,71594-41 

8,71563-73 
8, 71534-56 
8,71506-33 
8,71480-48 

8,71455-43 

8,71431-60 
8,71408-96 

8,71.^87-43 
8, 7 '.^66-95 

8,71347-48 
8,71328-97 

8, 7 13" 37 
8,71294-64 
8,71278-73 
8,71263-60 
8,70969-39 



Log. r». [Tears 



1,10700-64 
1,12871-25 
I.X504I-85 
1,17212-45 

1,19383-05 
»>2i553-65 
1,2372425 
i,2?894-85 
1, 2806; -45 
1,30236-05 

1,32406-65 

1,34577-25 
1,36747-86 
1,3891846 
1,4108906 
1,43259 i»6 
1,45430-26 
1,4760086 
1,49771-46 
1,5194206 

1,5411266 
1, 56283 26 
1,58453 -86 
1,60624-47 
1,6270507 
1,64965-67 
1,67136-27 
1,69306-87 

i,7'477-47 
1,73648-07 

1,75818-67 
1,7798927 
1,80159-87 
',82330-47 
i,84(;oio7 
1,86671-68 
1,88842-28 
1,91012-88 
',93'83-48 
',9535408 

1,97524-68 
1,99695-28 
2,0186588 
2,0^036-48 
2,06207-08 
2,08377-68 
2,10548-29 
2,12718-89 
2,14889-49 
2, 1 706009 



51 
52 
53 

54 

5 

<7 

58 

61 
62 

63 
64 

65 
66 

67 
68 

69 
70 

7« 
72 
73 
74 

75 
76 

II 

79 
80 

81 
82 

83 
84 
8 
8 

87 
88 

89 
90 

9' 
92 

93 
94 



99 
100 
Perp 



For explanation see pp. 216-228 



(300) 



• 




6 


4 Per Cent. 








Years 

1 


Lopr. r". 


Loj?. a». 


Log. a*. 


Log. r-. 


Y.*re 
51 




0,02222-21 


0,02222-21 


8,75.^3445 


',1.3.332-73 




2 


0.04444-42 


9,73216- 10 


8,75162-77 


'.15.554-94 


52 




3 


o,oUt(t(>-6^ 


9,5669440 


8,75000-28 


'.'7777-'5 


53 




4 


0,0888884 


9,45278-48 


8,7484645 


1.19999-36 


54 




i 


0, 1 1 1 1 1 -05 
o,i3.?.^3'26 


9.^6655-99 


8,7470080 


1,22221-57 


li 




9,29796-92 


8.74.562-87 


1,24443-79 




I 


0,15555-47 


9.24151-87 


8,74432-23 


i,26f>66-oo 


57 




0,17777-68 


9,19392-89 


8,74,^08-46 


1,28888-21 


58 




9 


0,19999-89 


9.1530845 


8,7419119 


1,3' 110-42 
1.. 33.332-63 


59 




10 


0,22222-10 


9,11754-15 


8,74080-07 


60 




II 


0.24444-31 


9,08626-97 


8,7.^974-74 


1..35554-84 


61 




12 


0,26666-5^ 


9,05850-87 


8,7.3874-92 


1,377 7 7-05 


62 




«3 


0,28888-74 


9,03368-13 


8,73780-28 


'.3999926 


63 




14 


0,31110-95 


9,01 133-85 


8.7.3f'90-55 


1,42221-47 


6.4 




>5 


o,.^.U=J3-i6 


8,99112-48 


8,7.3605-47 


1,444 4.rf>8 


65 


• 


16 


0,35555-37 


8,97275-36 


8,7.3524-79 


i,46C)6s-89 


66 




'7 


0,37777-58 


8.95599-05 


8,7344827 


1,48888- 10 


67 




18 


0,39999-79 


8,94064-15 


8,7.337569 


1,51110-31 


68 




'9 


0,4222200 


8,92654-41 


8,7.3306-85 


1,5.3.332-52 


69 




20 


0,4444421 


8,91356-11 


8,7.3241-53 


1.55.554*73 


70 




21 


0,4^)666-42 


8,90157-50 


8,73179-58 


',57776-94 


71 




22 


0,48888-63 


8,8(^48-55 


8,73120-78 


'.59999'5 


72 




23 


0,51110-84 


8,88020-51 


8,73065-00 


1,62221-36 


73 




24 


0,5.^333-05 
0,55555-26 


8,87065-78 


8,73012-07 


1.64443-57 


74 




'^ 


886177-73 


8, 72961 84 


1,6666^78 


li 




26 


0,57777-47 


8,85350-45 


8,72914-16 


1,68887-99 




- l^ 


0,59999-68 


8,84;78-8o 


8,72868-91 


1,71 iiO-20 


1 / 




0,62221-89 


8,8?8:;8-ii 


8,72825-97 


',7.3332-42 


78 




29 


0,64444-10 


8,83184-28 


8,72785-20 


1,75554-63 


79 




.?o 


0,66666-31 


8,82553-61 


8,72746-50 


1,77776-84 


80 




31 


0,68888-52 


8,81962-75 


8,72709-77 


i,7999«;o5 


81 




32 


0,71110-73 


8,81408-72 


8,72674-90 


1,82221-26 


82 




33 


o,7.?.332-94 


8,8088880 


8,72641 79 


1,84443-47 


83 




34 


0,75555-16 


8.80400-51 


8,72610-36 


i,8f)66s-68 


84 




U 


0,77777-37 
0,79999-58 


8,79q4i-6i 


8,7258051 


1,88887 89 


u 




8,7951005 


8,72552-17 


1,91110-10 




• % 


0,82221-79 


8,79103-94 


8,72525-27 


1,9.3332-3' 


87 




0,84444-00 


8,78721-58 


8,72499-72 


1. 955.54-52 


88 




39 


0,86666-21 


8,78361-39 


8,72475-46 


',97776-73 


89 




40 


0,88888-42 


8,78021-91 


8,72452-42 


1, 99^)98-94 


90 




41 


0,91110-63 


8,77701-81 


8,7243055 


2,02221*15 


91 




42 


0,93.^32-84 


8,7739984 


8,72409-77 


2,04443 -.36 


92 




43 


0,95555-05 
0,97777-26 


8,77114-85 


8,72390-04 


2,0666s -t; 7 


93 




44 


8,7684582 


8,72371 31 


2,08887-78 


94 




^ 


0.99999-47 


8,7659' -74 


8,72.353-51 


2,11109-99 


^ 




46 


1,02221-68 


8,76351-69 


8,7233661 


2,1333220 




% 


1,0444389 


8,7612486 


8,72320-55 


2,15,554-41 


% 




1,06666-10 


8,75910-41 


8,72305-31 


2,17776-62 




49 


1,08888-31 


8,757076? 


8,7229084 


2,19998-83 


99 




50 


1,1111052 


8,75515-83 


8,7227707 
8,72015-93 


2,22221-05 


100 
Perp 





(301) 



S 2 



LOGARITHMIC TABLES OF 



It 



t 

t 



51 



Per Cent. 



Years! Log. r". 



X 
2 

3 

4 

5 
6 

7 
8 

9 

lO 

II 

12 

13 

14 

15 
i6 

17 
i8 

19 

20 

21 
22 

23 

24 

25 
26 

27 
28 

29 
30 

31 

32 

33 
34 
35 
36 
37 
38 

39 
40 

41 

42 

43 

44 

45 
46 

47 
48 

49 
50 



0,02273*76 

0.04547 '52 
0,06821 28 

0,0909504 
0,1136879 
0,13642-55 
0,15916-31 
0,18190-07 
0,20463 83 
0,22737-59 

0,25011-35 
0,27285 11 
0,29558-86 
0,31832-62 
0,34106-38 
0,36389-14 
0,38653-90 
0,40927 66 
0,43201 -42 
0.45475 tS 

0.47748-93 
0,50022-69 
0,52296-45 

0,54570*21 
0,56843-97 

0.5911773 
0,61391 -49 

0,63665-25 

0,65939-00 

0,68212-76 

0,70486-52 
0^72760 28 
0.7503404 
0,7730780 

0.79581 56 
0.81855-32 
0,84129-07 
0,86402 83 
0,88676-59 

0,9095035 
0,93224 -II 
0.95497 87 
0.97771 63 
1,0004539 
1,0231914 
1,0459290 
1,06866-66 
1,09140-42 
1,11414-18 
1,13687-94 



Log. a". 



0,02273-76 

9,7329275 
9,5679573 
9,45404-02 
9.36805-31 

9. 29969 "57 
9, 24347 41 
9,19610-89 

9,15548-48 
9,12015-75 

9,08909-72 
9,06154-34 
9,03691 89 
9,01477*48 

8,9947554 
8.97657 "46 
8,9599976 
8,9448307 
8,93091-12 
8,9181020 

8,90628-57 
8,89536-21 
8,88524-37 

8,87585-47 
8,86712-84 
8, 85900 -62 
8,85143-64 
8,84437-27 

8.83777 '40 
8,83160-32 

8,82582-71 
8,82041 -58 
8,81534-22 
8,81058-15 
8,80611 14 
8,80191-15 

8.79796-30 
8,79424 89 

8,79075*33 
8,78746-19 

8,78436-12 
8,78143-91 
8,77868-41 
8,77608-56 

8.77363*39 
8,77132 01 

8,76913*57 
8,76707-27 
8,765x2-41 
8,76328-28 



Log. a". 



8,76154-27 
8,75989-78 
8,75834-25 
8,75687-16 
8.75548-05 
8,75416-42 
8,75291 90 
8,7517404 
8,75062-50 

8.74956*91 

8,74856-94 
8,74762 28 
8,74672-65 

8,74587*75 

8.74507*34 
8,74431 17 

8.7435901 

8,74290-63 

8,74225-86 

8,74164-46 

8,74106-27 
8,74051-13 
8.73998-87 

8.73949*34 
8.73902-38 

8,73857*87 
8,73815-66 

8,7377564 
8,73737*70 
8.73701 '73 
8,73667-62 
8,73635*28 
8,73604-60 

8.73575*51 
8.73547*92 
8,73521*76 

8.73496-95 
8,73473*40 
8,73451 08 

8,73429*91 
8,73409-83 
8,73390-77 
8,7337271 
8,73355*57 
8,73339*30 
8,7332387 
8,73309*24 
8,73295*36 
8, 73282 19 
8,73269-69 

8.73037*85 



Log. r". Years 



1,15961-70 
1.18235-46 
1,20509-21 
1,22782-97 
1,25056-73 

1,27330-49 
1,29604-25 

1,31878 01 

1.34151*77 
1,36425-53 

1,38699-28 

1.40973*04 
1,43246-80 
1,45520-56 

1.47794*32 
1,50068 08 
1,52341-84 
1,54615-60 
1.56889-35 
I. 59163-11 

1,61436-87 
1,63710-63 

1.65984-39 
1,68258-15 

1. 70531 "91 
1,72805-67 

1.75079-42 
1.77353-18 
1,79626-94 
1,81900-70 

1,84174-46 
1,86448-22 
1,88721-98 

1.90995*74 
1,93269-49 

1.9554325 

I. 97817 01 

2,00090-77 

2,02364 53 

2,04638 29 

2,06912 05 
2,09185-81 
2,11459-56 

2,13733*32 
2,16007-08 
2,18280-84 
2,20554-60 
2,22828-36 
2,2510212 
2.27375 -88 f^ 



51 

52 
53 
54 
55 
56 
57 
58 

59 
60 

61 
62 

63 
64 

65 
66 

67 

68 

69 
70 

71 
72 
73 
74 

75 
76 
77 
78 

79 

80 

81 

82 

83 

84 

85 
86 

87 
88 

89 
90 

91 
92 

93 

94 

95 
96 

97 
98 

99 

100 

Perp. 



For explanation see pp. 216-228 



1(302) 







• 

COMPOUND INTEREST AND ANNUITIES 








^1 




Years 

I 


Log. r'*. 
0,02325-25 


Log. a«. 


Log. a". 


Log. r". 


Tears 
51 


0,02325-25 


8,76963*55 


1,18587-54 




2 


0,0465049 


9,73369*31 


8.76805-96 


1,20912-79 


52 






3 


0,0697574 


9,56896-88 


8.76657-12 


1,23238 04 


S3 






4 


0,09300-98 


9.45529*33 


8,76516-51 


1,25563*28 


54 






5 


0,11626*23 


9.36954*32 


8,76383-64 


1,27888*53 


55 






6 


0,13951-48 


9,30141-85 


8,76258*08 


1,30213-77 


56 






7 


0,16276-72 


9,24542-48 


; 8,76139*40 


1*32539 02 


57 






8 


0,18601-97 


9,19828-31 


8,76027-21 


1,34864-27 


58 






9 


0,20927-21 


9,15787-81 


8,75921-14 


1.37189-51 


59 






10 


0,23252-46 


9,12276*54 


8,75820-82 


1,39514*76 


60 






XI 


0,2557771 


9,09191-53 


8.75725-94 


1,41840*00 


61 






13 


0,27902-95 


9,06456-75 


8.75636*22 


1,44165 -25 


63 


• 




13 


0,30228-20 


9,04014-42 


8.75551*34 


1,46490-50 


63 






14 


0,3255344 


9,01819-73 


8,75471-04 


1,48815*74 


64 






15 


0.34878-69 


8.99837*09 


8,75395*06 


1,51140-99 


65 






16 


0,37203-94 


8,98037-86 


8.75323-16 


1.53466-23 


66 






17 


0,39529*18 


8,96398-59 


8.75255*12 


1.55791*48 


67 






•18 


0.4185443 


8.94899*91 


8,75190*72 


1,58116*73 


68 






19 


0,44179-67 


8.93£25*55 


8,75129*77 


1,60441*97 


69 






20 


0,46504-92 


8,92261-82 


8,75073*08 


1,62767-22 


70 






21 


0,48830-17 


8,91096-99 


8,75017*47 


1,65092*46 


71 






22 


0,51155-41 


8,90021-00 


8.74965*76 


1,67417*71 


72 






23 


0,53480-66 


8,89025-13 


8,74916*81 


1,69742*96 


73 






24 


0.55805-90 


8,88101-82 


8,74870-46 


1,72068-20 


74 






25 


0,58131-15 


8,87244-38 


8,74826-57 


1.74393*45 


75 






36 


0,60456-40 


8,86446-99 


8,7478502 


1,76718*69 


76 






27 


0,62781-64 


8,85704-46 


8,74745*66 


1.79043*94 


77 






28 


0,65106-89 


8,85012-16 


1 8,74708-39 


1,81369*18 


78 






29 


0,67432-13 


8,84365-98 


8,74673*09 


1,83694*43 


79 






30 


0,69757*38 


8,83762-25 


8.74639-67 


1,86019-68 


80 






31 


0,72082-62 


8,83x97-63 


8,74608 00 


1,88344*92 


81 






32 


0.74407*87 


8.82669-X4 


8,74578-00 


1,90670*17 


82 






33 


o,76733'i2 


8,82174-07 


8,74549*60 


1.92995*41 


83 






34 


0,79058-36 


8,81709-96 


8,74522 -68 


1.95320*66 


84 






35 


0,81383-61 


8,81274-58 


8,74497-18 


1.97645*91 


85 






36 


0,83708-85 


8,80865-88 


8,74473-04 


1,99971*15 


86 - 






37 


0,86034-10 


8,80482-02 


8,74450-16 


2,02296*40 


87 






38 


0.88359-35 


8,80121*27 


8,74428*49 


2,04621-64 


88 






39 


0,90684-59 


8,79782*07 


8,74407*95 


2,06946 -89 


89 






40 


0,93009-84 


8,79462-99 


8.74388-49 


2,0927214 


90 






41 


0,95335*08 


8,7,9162-68 


8.7437006 


2,11597-38 


91 






42 


0, 97660*33 


8.78879-93 


8.74352*59 


2,13922-63 


92 






43 


0,99985*58 


8,78613-62 


8.74336*05 


2,1624787 


93 






44 


1,02310-82 


8,78362*69 


8,74320-36 


2,18573*12 


94 






45 


1,04636-07 


8,78126*17 


8,74305*52 


2, 20898 37 


95 






46 


1, 06961 -31 


8.77903*16 


8,74291-44 


3,23223-61 


96 






47 


1,09286-56 


8,77692*83 


8,74278-10 


2,25548 86 


97 






48 


i,ii6ix-8i 


8,77494*41 


8,74265-45 


2,27874-10 


98 






49 


1,13937*05 


8,77307*16 


8,7425348 


2,3019935 


99 






50 


1,16262-30 


8,77130*41 


8,74242-13 
.8,74036*27 


2,32524-60 


100 
Perp. 


f 


(303) 


m 





LOGARITHMIC TABLES OF 



COMPOUND INTEREST AND ANNUITIES 






6i 



r«r Cent 



Years 

I 

2 

3 
4 

7 
8 

9 

lO 

1 1 
li 

«3 

•4 

'5 
i6 

»7 

i8 

'9 

20 

21 
22 

»3 
24 

26 

27 
28 
29 

30 

31 
32 

33 
34 
35 

36 

37 
38 

39 
40 

4» 
42 

43 
44 

% 

47 

49 
SO 



Log. r*. 



0,02376-67 

0.04753-34 
0.0713002 
0,09^0669 
0,11^83-36 
0,14260-03 
0,16636-7*1 
0,19013-38 
0,2139005 
0,2376672 

0,26143-39 
0,28:; 20-07 
0,30^96- 74 

0,3327341 
0,3565008 
0,38026-76 
0,40403-43 
0,42780-10 

0,45 '56-77 
0,4753344 

0,49910-12 
0,52286-79 
0,5466^ 46 
0,57040-13 
0,5941680 
0,6 « 79348 
0,64170-15 
0,66546-82 
0,6892349 
0,71300-17 

0,73676-84 

o, 760535 « 
0,78450-18 
0,8080685 
0,83183-53 
0,85^60-20 
0,87936-87 

0,903 •3-54 
0,92690-22 

o,95o(>6 89 

0,9744356 
0,99820-23 
1,02196-90 

«,04573S8 
1,06950-25 

1,0932692 

1,11703-59 

1,1^080-27 

i,i64S6'94 
i.i88.«-6i 



Log. a". 



0,02376 

9,73445 
9.56997 
945654 
9.37103 

9.30313 

9.24737 
9,20045 

9,16026 

9.12536 

9,09472 
9,06758 

9.04335 ■ 
9,02160 

9,00197- 

8,98416- 

8,96795- 

8 953 « 4' 

8.93957- 
8,92711- 



•67 
-76 
■88 
•42 
■04 

'^ 
08 

16 

•45 
■53 

•42 
06 

76 
62 
10 

55 
54 
68 

74 
00 



8,9156274 
8,90502-91 
8.89522-82 
8,88614-87 
8,87772-41 
8,8r;o89-6i 
8,86261-26 
8,85582-80 
8, 84950 08 

8,84359-43 

8,83807-55 
8,83291-44 
8,8280840 
8,8235600 
8,81931-97 
8,81534-31 
8,8; 161-15 
8,80810-80 
8,80481-69 
8,80172-38 

8,79881-56 
8, 79608 02 
8,7935062 
8, 79 '08-3^ 
8,78880-18 
8,78665-27 
8,78462-79 
8,78?7'-96 
8,7809206 
8.77922-42 



M^. a 



8.77762-42 
8,77611-49 
8,77469-07 

8.773.M-67 
8,77207-81 
8,77088-05 
8,7697498 
8. 768(18-19 
8,76767-32 
8,76672-05 

8,76582-04 
8, 7649 7 00 
8,76416-63 
8,7634069 
8,76268-91 
8,76201-06 
8,7613692 
8,76076-29 
8,76018 97 
8, 75964- 76 

8, 75913-5 • 
8,75865-03 

8.75819-18 

8,75775-84 
8,75734-84 
8,75696-05- 

8,7565936 
8,75624-66 

8.75591-83 
8,75560-77 

8,75531-38 
8,75503-57 
8.75477-27 
8. 75452 -.18 
8,7542884 
8,75406-54 
8,75385-46 
8,75365-50 
8,75346-62 

8,75328-74 

8,753»i-84 
8,75295.-82 
8,75280-68 
8,75266-34 

8,75252-77 
8.75239-93 

8,75227-77 

8.75216-27 

8,75205-38 
8,75195-07 
8,7soia-a5 



Log. r*. Ye»Tt 



1,21210-28 
1,23586-95 

1,25963-63 
1,28.^0-30 
1,3071697 
1,33093-64 
1*35470-32 
1,37846-99 
1,40223-66 
1,42600-33 

1,4497700 
». 47353 -68 

1.49730-35 
1,5210702 

1,54483^ 

1,56860-37 

1,59237-04 

1,61613-71 

».639<>0 38 

1,6636705 

1,68743-73 

1,71120-40 

i. 7.^497 07 

1.75873-74 
1,78250-41 

1,8062709 
1,83003-76 
1,8538043 
1,8775710 
1,901.^3-78 

1,92510-45 
1,94887-12 
1,97263-79 
1,99640-46 
2, 02017*14 
2,04393-81 
2,06770-48 
2,09.47-15 

2,11523-83 
2,1390050 

2,16277-17 
2,18653-84 
2,2103051 
2,23407- 19 
2, 2 5783 -86 
2, 28 1 6053 
2,30537-20 
2,32913-88 

2.35290-55 
2,3*/667-22 



S» 
52 

53 
54 

5^ 

5 
J9 



61 
-62 

63 
64 

U 

^7 
68 
69 
70 

7« 

72 
73 
74 



& 

81 
82 

87 

88 
89 
90 

9> 
92 
93 
94 
9« 



99 

100 

Terp. 



Years 



Loc:. »*. 



I 
2 

3 

4 

I 

9 
10 

II 

13 

»3 

•4 

15 
16 

«7 
18 

19 

20 

21 
22 

23 
24 

26 

27 
28 

29 
30 

3« 

32 

34 
36 

38 

39 
40 



4» 
42 

43 
44 
45 
46 



4« 
49 
SO 



0,02428 04 

0,0485608 

0,07284-11 

0,09712-15 

0,12140-19 

0,14.^68-23 

0,16996-26 

0,19424-30 

0,21852-34 
0,2428038 

0,26708-41 
0,29136-45 

0,31564-49 
o,33992-.«;3 
0,3642056 
0,3884860 
0,41276 64 
0,43704-68 
0,46132-71 
0.48560-75 

0.50988- 79 
0,5.^416-83 
0,5584486 
0,58272-90 
0,60700-94 
0,63128-98 
0,65557-02 
CV67985-0S 
0,70413-09 

0,72841-13 

0,7526917 

0,77697-20 
0,80125-24 
0,82553-28 
0,84981-32 
0,87409-35 
0,89837-39 
0,92265*43 
0,94693-47 
0,97121-50 

0,99549-54 
1,01977-58 
1,04405-62 
1,06833-65 
1,09261-69 
1,11689-73 

1,14117-77 
I, 16545 81 

1,18973-84 
1,21401-88 



Log. oT 



0,0242804 
9.7.352209 
9.57098-71 
9.45779-29 
9,37251-46 

9.304F523 
9,24031-21 

9,20261-44 

9,16264-41 

9.12795-72 

9-09752-37 
9,07058-33 
9,0465588 
9,02500-15 
900555-60 

8.98793-.56 
8.97190-62 
8.95727-42 
8.94387-69 
8.93157-74 

8.92025-85 
8«rx>8i-98 

8,./JOi7-44 
8.89121-64 
8,88296-93 

8,87.528*47 
8 8f)8i4*io 
8.86149-22 
8.85529-71 
8,84951 92 
8,84412-52 

8.83908-53 
8.83437-28 
8.82096-30 
8,82583-38 
8.82196-48 
8,81833-77 
8,81493-54 
8.81174-25 
8,80874-47 

8.80592-87 
8.80328-26 
8,80079-50 
8.79845-58 
8.79625-54 
8.794>8-47 

8.79223-57 
8.79040-07 
8,78867-25 
8,78704-46 



3 
4 



Per C«i»t 



Log. a 



8.78551-08 

8.78406-54 

8,7827030 

8.78141 -80 

8,7802075 

8.77906-53 

8,7779880 

8,77697 18 

8.77601-30 

8,77510-82 

8,774254s 
8,77344-8*^ 
8.77268-80 
8,77196-99 

8,77129-19 
8,77065-18 

8,77004-74 
8,7694766 

8,76893-75 
8,76842-84 

8,76794-75 
8,76749-32 
8,76706-41 
8,7666586 
8,76627-57 

8.76591-37 
8,76557-18 
8,7652486 

8.76494*34 
8.76465-49 

8.76438-23 
8 76412-47 
S 76388- 11 
8. 76365 10 

8.76.343-.35 
8.76322-79 

8.76303-3f> 
8,7628498 
8,76267-63 
8,76251-21 

8,76235-70 
8,76221 04 
8.76207-18 
8,76104-08 
8,76181-68 

8,76169-97 
8.7615889 

8,76148-42 

8,76138-53 
8,76129*17 
8,75966-78 



Log. I*. Year* 



1.23829-92 
1.26257-96 

1,28685-99 
1,31114-03 

1-3354 2 07 
1. 3.^070- 11 
1.38 ^98- 14 
1.40K26-18 
i,432.=;4-22 
i,45(>82-26 

1,48110-29 
1,505.^8-33 
1,52966-37 
i,5.'!394-4' 
1,57822-44 
i,6o2£;o-48 
1,62678-52 
1,65106-56 

^67534-.^9 
1,69962-63 

1,7239067 



5' 
52 

53 

54 

% 
% 

60 

6i 
62 

63 
64 
6; 
r)6 
67 
68 

(V) 

70 
71 



1.74818-71 I 72 

1,77246-74 

1.79674-78 

1,82102-82 

i,84.';.3o86 

i,8(>9.58-90 
1,80.^86-93 

1,91814-97 
1,94243-01 

1,96671-05 
1,9909908 
2,01527-12 

2,03955-16 
2,06383-20 
2,08811-23 
2,11239-27 
2.1.3667-31 

2 16095-35 
2 18523*38 



1 20951-42 
J 2.3379-46 
i 25807-50 

2 28235-53 

?.,3o663-57 

2.33091-61 
2.35519*65 
2,37947-68 

2,40375'7« 
1,4260? -76 



73 
74 
75 
76 

77 

t8 

• 

79 

80 

81 
82 

§-^ 

84 

85 
86 

87 
88 

89 

<>o 

9' 
92 
93 
94 
95 
96 

97 
98 

99 
.100 



For explanation see pp. 216-228 



(304) 



(305) 



LOGAKITHMIC TABLES OF 



COMPOUND INTEREST AND ANNUITIES 



Tsani 



I 

a 
9 

4 

i 

9 

lO 

II 

12 

»3 
'4 

\i 

«9 

20 

21 
22 

23 
24 

»9 

30 

31 
32 
33 
34 

3 

39 
40 

41 
42 

43 
44 



49 
50 



Log. f*. 



0,0247934 
0,0495868 
0,0743803 

0,099^7 37 
0,1239671 

0,1^7605 

o> 1 7355-40 

0.1983474 
0,2231408 

o> 247934a 

0,2727377 
0,29752- 1 1 

0,32231 45 
0,3471079 
0,37190 '3 
0,3966948 
0,42148-82 
0,44628-16 
0,47107-60 
0,49586-85 

0,52066-19 

o, 54545 "53 
0,57024-87 

0,5950422 
0,61983-56 

0,64462*90 

0,66942*24 

0,69421-59 

0,71900-93 

0,74380-27 

0,76850-61 

0,79338-95 
0,81818-30 

0,84297-64 

0,8677698 

0,89256-32 

o,9> 73567 
0,9^215-01 

0,96694-35 
o»99i73-69 

,0165304 
,04132-38 
,06611-72 
,09091-06 
,11570-40 
,14049-75 
,16529-09 
,19008-43 
,21487-77 
.13967-12 



51 



Lo<f. a". 



Pot Cent. 



0,0247934 
9,73598-32 

9.57 « 9939 
9,4590394 

9,3739959 
9,3065636 
9,2512487 
9,20477-14 
9,16501-70 
9,1305411 
9,10031-41 

9,07357-53 
9,04974-79 

9,02838-32 

9,00912-51; 

8,99168^ 

8,97583-85 

8,96138-11 

8,94815-41 

8,93602-05 

8,92486-34 
8,91458-22 
8.9050902 
8,89631-13 
8,88817-95 
8,88063-62 
8,8736299 
8,86711-46 
8,86104-9:5 

8,85539-7*' 
8,85012-5'; 
8,84520-46 
8,84060-73 
8,83630-93 
8,83228-85 
8,82852-47 
8,8249995 
8,82169-59 
8,81859-85 
8,81569-33 

8,81296-69 

8,81040-74 

8,80800-37 

8,80574-57 

8,80362- 

8,80162- 

8,79975-29 
8,79798-87 

8,79632-87 

8,79476-69 



Lop. a" 



8,7932968 
8,79191-28 
S, 70060-96 
8,78938-24 
8,780822-64 

8,78713-74 
8,78611-13 
8,78514-44 
8,78423-30 
8,78337-41 

8,78256-43 
8,78180-09 
8,78108-10 
8,78040-23 
8,77976-21 
8,77915-82 
8, 7 "8 58 '88 
8,7/-&)5-K 
8,7775448 
8,77706-67 

8,77661-55 
8,77618-98 
8,77578-81 
8,7754091 
8,77505-iS 
8,77471-40 

877439-53 
8,7740945 

8,77381-08 

8,7735429 

8.77328-99 

8,77305-13 
8,7728259 

8,77261-31 
8,77241-23 
877222-27 
8,77204-36 
877187-47 
8,77171-51 

8,77156-43 

8,77142-33 
8,77128-79 
8,77116-11 
8,77ro4-i2 
8,77092-81 
8,77082-14 
8,77072-06 
8,77062-54 

877053-55 
8,77045-05 

8,76900-79 



For explanation see pp. 216-228 



Log. r". 



1,26446-46 
1,28925-80 

1,31405-14 
1,33884-49 

1,36363-83 

1,38843- 1 7 

1,41322-51 

1,43801 -86 

1,46281-20 

1,4876054 

1,51239-88 
»*S37i9-22 

'^56198-57 
»,.S8677-9I 

»^6iiS7-25 
1,63636-59 

1,66115-94 

1,68595-28 

1,71074-62 

»»735S3-96 

1,76033-31 
1,78512-65 
1,80991-99 

»,8347i-33 
1,8595067 

1,8843002 

1,90909-36 

1,93388-70 

1,9586804 

1,98347-39 

2,00826-73 
2,0.330607 
2,05785-41 
2,08264-76 
2,10744-10 
2, 13223-44 
2,15702-78 
2,18182-13 
2,20661-47 
2,23140-81 

2,25620-15 
2,2^*099-49 
2,30578-84 
2,33058-18 
2,35537-52 
2,38016-86 
2,40496-71 

2,42975-55 
2,45454-89 
2,47934-23 



YMn 

5» 
52 
53 
54 

U 
^1 



61 
62 

69 

70 

71 

73 

73 

74 



81 
82 

u 

89 

90 

91 
93 

93 
94 

U 

99 

iOO 

PerpL 



(306) 



Tesn 
I 

3 

3 
4 

I 

9 
10 

II 

13 

13 
14 

\i 
\l 

19 
30 

31 
33 

23 
24 



tog. f*. 



39 
30 

3» 

32 
33 
34 

'^ 

% 

39 
¥> 

4> 

42 

43 
44 

% 

49 
50 



0,0253059 
0,05061-17 
0,07591 76 
0,10122-35 
0,12652-93 

0,15183-52 
0,17714-11 
0,20244-69 
0,22775-28 
0,35305-87 

0,37836-45 

0,30367-04 
0,32897-63 
0,35428-21 
0,37958-80 
0,40489-38 

0,4301997 
0,45550-56 
0,48081*14 
0,50611*73 

0,53142-32 
0,55672-90 
o,58203'49 
0,60734*08 
0,63264-66 
0,65795*25 
>,6833. " 



5,68a3K-84 
>,7<^56-42 



o,7o85e 

0,73387-01 

0,75917-60 

0,78448-18 
0,80978-77 
0,83509-36 
0,8603994 
0,8857053 
0,91101*13 

0,93631 '70 
0,96163*39 

0,9869287 
1,01223-46 

1,03754-05 
1,06284-63 
1,08815-22 
1,11345-81 
i,i.?876-39 
1,16406-98 

1,18937-57 
1,31468-15 

1,23998-74 
1.36539*33 



1 



6 



Per Gent 



Log. <!"• 



Log. a" 



0,02530-59 

9,73074-45 
9»57 29990 
9,46028-35 

9.37547-41 
9,30827-11 
9,2531805 
9,20692-28 
9,16738-30 
9,1331171 

9>io309'5o 
9,0765508 
9,0529252 

9.03175-13 
9,01268-01 

8,99542-52 
8,97975-23 
8,96546-77 
8,95240-91 

8,94043-96 

8,92944-33 
8,91931-64 
8,90997-56 
8,90134-39 
8,89335-51 
8,8859509 

8,87907-97 
8,87269*55 
8,86675*75 
8,86133*91 

8,85607*7^ 
8,85127-26 
8,84678*81 
8,84250-95 
8,83868-45 
8,83503-33 
8,83159-74 
8,82839-00 

8,82538-58 
8,82257-04 

8,81993-11 

8,81745-57 
8,81513-34 
8,81295-38 
8»8io9o-77 
8,80898-60 
8,8071809 
8,8054849 
8.8038909 
8,80339-35 



8,80098-36 

8,79965-87 
8,79841 25 

8,79723- 
8,79613- 

87950986 

8,79412-15 

8,79320-16 

8,7923356 
8,79153-02 

8,79075-24 
8,70002-03 

8,78034-82 
8,78870-67 
8,78810-23 

8,78753-29 
8,78699-65 
8,78649-09 
8,78601*46 
8,7855656 

8,78514*36 
878474-38 
8,78436-80 

8,78401*37 
8,78.36797 

8,7833649 
8,78306-81 
8,78278-83 
8,78252-45 
8,78227*58 

8,78204-13 
8,7818201 
8,7816117 
8,78141-51 
8,78122-97 
8,78105-48 
8,78088-99 

8,78073-45 
8,78058-78 
8,78044*95 

8,78031-91 
8,78019-62 
8,7800801 
8,7799708 

8,77986-75 
8,77977-02 
8,7796784 
8,7795918 
8,77951-01 
§,77943*31 
«,77«5>3 



Log. »*. 



1,2905991 
«,3iS90-5o 
1,3412109 
i,.3665i-67 
1,39182-26 
1,41712-85 

1,44243-43 
1,46774-02 

1,49304-61 
i,5i835-'9 

1,54.^65-78 

1,. '16896*36 

i,.59426-95 

1,61957-54 
1,64488-12 

1,67018-71 
i,69549-.=?o 
1,72079-88 
1,74610-47 
1,77141-06 

1,79671*64 

1,82202-23 
1,84732-82 * 
1,87263-40 

1,89793-99 
1,92324*58 
1,9485516 

1,97385-75 
1,99916-34 
2,02446-92 

2,04977-51 
2,07508-10 

2,10038-68 

2,12569-27 
2,15099-86 

2,17630-44 
3,20161-03 
2,22691-61 
2,25222-30 
2,27752*79 

2,30283-37 
2,32813*96 
2,35344-55 
2,37875-13 
2,40405-72 
2,42936-31 
2,45466-80 

2,4799748 
2,5052807 

2,53058-65 



Teart 

52 

53 
54 

\i 



61 

62 

67 

68 

69 
70 

7« 

72 
73 
74 

j^ 

\l 
IS 

81 
82 

83 
84 

u 
u 

8q 
90 

91 
92 
93 
94 
95 
90 

97 
98 
99 

100 

Paip. 



(307) 



LOGARITHMIC TABLES OF 



COMPOUND INTEREST AND ANNUITIES 



M 



iJ 



Years Lopf. r*. 



0,02632 89 

0,07898-68 

0' '053' -58 
o. '3 '6447 

o^ '5797*36 
0,18430*26 
0,21063*15 
o,2369"6-04 
0,26328*94 

0,28961-83 

«'3 '59473 
0,34227-62 
0,36860*51 

0-39493*4' 
0,42126*30 
0,44759-20 

0.4739209 
0,50024*98 

0,5265788 

0,55290-77 
o,57923-^>7 
0,60556*56 

0,63189*45 
0,65822*35 
0,6845; -24 
0,71088-13 
0,7372 1 03 
0,76353-92 
0,78986*82 

31 0,81619*71 

32 0,84252*60 
.^^ 0,86885*50 

34 0,89518*39 

35 0,92151-29 

36 0,94784*18 

37 0,97417*07 

38 1,00049*97 

39 1,02682*86 

40 1,05315-75 

1,07948*65 
1,10581*54 

1,13214*44 

'.'5847-33 
1,18480*22 

1,21113*12 

1,2374601 

1,2637801 

ny 1,29011*80 

50 I 1,31644-69 

1 



I 
2 

3 
4 

I 

k 

9 
10 

11 

12 

»3 

•4 

»5 
16 

'7 
18 

'9 

20 

21 
22 

23 

24 

25 
26 

27 
28 
29 

30 



4" 
42 
43 
44 

46 
47 
48 
49 



6 



1 
4 



Per Cent. 



Log. m'. 

0,02632-89 
9.73826*39 
9.57500*48 
9,46276-53 
9,37842-10 
9.3 "67 -48 
9-25703-02 
9,21120*86 
9,17209*49 
9,13824*52 

9,10862*97 

9,08248*81 

9.05924-36 

9,03844*73 

9.01974*43 

9,00284*80 

8,98752*47 

8,97358-03 

8,96085*31 

8,94920*58 

8,93852*19 
8,92870- 1 1 
8,91965*64 
8,91131-26 
8.90360*33 

8«9647-o5 
8,88986-25 
8.88373*38 
8,87804*36 
8.87275*53 

8,8678363 
8.86325*70 
8,8^899-07 
8.85501*33 
8,85130*29 
8,84783-92 
8,84460*46 
8,84158-20 

8,83875-63 
8,8^.611-35 

8,83364*09 
8,83133-63 
8,82915*93 
8,82712*95 
8,82522-77 
8,82344-54 
8,82177.4s 
8,82020*77 
8,8i873-'«4 
8, 8 1 736 -co 



Log. 



Lopr. 



8,81606*66 
8.81485-28 
8,8i37r35 
8,81264-40 
8,8n6v97 
8,81069*66 
8,8o()8i-io 
8,80897*90 
8.80819*75 
8.80746*32 

8,80677*32 
8,80612-48 

«-8o55i-55 
8,80494*27 

8 80440-4^ 

8.80389-82 

8,80342*25 

8.80297*51 

8-80255.45 

0,80215-91 

8.80178*72 
8,80143-75 
8,801 10*86 
8,80079*93 
8,80050*84 
8,80023-47 

8.79997*74 
8.79973-53 
8,7995076 

8,79929*33 

8,79909*18 
8,79890-22 
8,79872*38 
8,79855-61 
8,79839-82 

8.79824-97 
8,79810-99 

8,7979784 
8,79785-47 
8,79773-83 

8,79762.88 

8,79752-57 
8,79742-87 

8,79733*75 
8,79725*'6 
8.79717-08 
8,79709-48 
8,79702-32 

8,79695*59 
8.79689-25 

8.79588-00 



For explanation see pp. 216-228 



(308) 



''3427759 
1,36910-48 

».39543'38 
1,42176-27 
1,44809-16 
1,47442 06 

'.50Q7495 
'.5270784 

'.5534074 
'.5797363 

1,60606-53 
'»63239-42 
i>65872-3i 
1,68505*21 

1,71138-10 
'. 73771 -oo 
1,76403-80 
1,79036-78 
1,81669 68 
1,84302-57 

'.86936-46 
'.89568-36 
1,92201-25 

'.94834-15 
1,97467-04 

2,0009993 

2,02732-83 

2.0536.'; -72 
2,0799862 
2,10631-51 

.2,13264*40 

2, '.5897*30 
2, 18530* 19 
2,21163*09 

2,23795-98 
2,26428*87 
2,29061-77 
2.3'694*66 

2>34327-S5 
2.36960-45 

2.39593*34 
2,42226*24 
2,44859*13 
2,47492*02 
2,50124*92 
2.52757-81 

2.55390-7' 
2,58023-60 
2,606^649 
2,63289*39 



Yeara 



if ears Log. f. 



I 
2 

3 
4 

7 
8 

9 
10 

II 

12 

'3 
14 

»5 
16 

'7 
18 

'9 
20 

21 

22 

23 
24 

26 

2: 

29 
30 

3J 
32 
S3 
34 
35 
36 

.^8 

39 
40 



0,027^4*96 
0,05460*92 
0,08204 88 
0,10939-84 
0,1367480 
0,16409 76 

0,19144-73 
0,2187969 
0,24614 65 
0,2734961 

0,30084 57 
0.3281953 

o,35554--19 
0,38289*45 
0,41024-41 

0.43759*37 
0,46494-33 
0,49229-29 
0,51964*25 
0,54699-22 

o,57434-'8 
0,60169*14 
0,62904- 10 
0,6563906 
0,68374-02 
0,71108 98 

0,7384394 
0,7657890 
0,793 '3 -86 
0,82048 82 

0,84783-78 
0,87518*74 

0,902.53-7' 
0,92988-67 

0,95723-63 

0,98458-59 

1,01193*55 
1,03928-51 

1,06663-47 
1,09398 43 

41 1,12133-39 

42 1,14868-35 

43 1,17603-31 
■ 44 1,20338-27 

45 1.23073-24 

46 1,25808-20 

47 1.28543-16 

48 1. 31278-12 

49 1,3401308 

50 1,36748-04 



b 2 ^^' ^®*'*~ 



Log. a". 



Log. a 



0,0273496 

9.7397792 

9.57700*41 
9,46523-82 

9.38135-80 

9.3'5o6-37 
9,26086-14 
9,21547-18 

9,17677-99 
9,14334-18 

9,11412 77 
9.08837-77 
9.06551-46 
9,04509*01 
9,02674*88 
9,01020*48 
8,9052241 
8,98161*30 
8.96920*96 
8,95787-72 

894749-9« 
8.03797 50 

892921-85 

8,921 i5-4« 

8,91.^71 58 
8,<^684-56 
8,90049*21 
8.80^6009 
8,88915-82 
8,88410-09 

8,87940-52 
8,87504-19 
8,87098-44 
8,86720-87 
8,86369-31 
8,86041*78 

8,85736-47 
8,85451*74 
8,85186-07 
8,84938-09 

8,84706-52 
8,84490*21 
8,8428808 
8,84099-13 
8,83922-46 

8,83757*23 
8,83f)02-65 
8.83458-00 
8.83522-62 
8.83195*89 



8.83077-22 
8.8296609 
8.8286200 
8,82764-56 

8.82673- '« 
882587-53 
8.8250731 
8.82432- 1 1 
8.82561-62 
8,82295-53 

8.82233*58 
8,82175.48 
8,82121-00 
8,82069-90 
8,82021-99 
8,8197704 
8,81934-88 

8.81895-33 
8,8i8s8-32 

8,81823-41 

8,81790-75 
8.81760-10 

8,81731-35 
8,81704-36 

8,81679-04 
8,8165527 
8,81632-98 
8,81612-05 
8,81592-41 

8,81573-97 

8,8155667 

8,81540-43 
8,8152519 
8,81510-88 

8,81497-44 
8,81484-84 

8,8147301 

8,81461-89 

8,8'4SJ 47 
8,81441-67 

8,81432-48 
8,81423-86 

8.81415-75 
8,81408-16 
8.81401*02 

8,81394*32 
8,81388*02 
8,81582-12 

8,81376-57 
&,8'37'*36 
8.81291-34 



Log. I*. 



1,39485-00 
1,42217-96 
1,44952-92 
1,47687 88 
1,50422-84 

«. 53' 57*80 
1,55892*76 

1,58627-73 
1,6136269 
1,6409765 

i,6(')832-6i 

1.69567*57 
1,72302-53 
i,7S037*'*9 

1,77772-45 
1.80507-41 

1,83242*37 
• ,8.5977*33 
1,88712-29 
1,91447 25 

1,94182-22 
1,96917 18 

1,99652-' 4 
2,02387-10 . 

2,05«22-06 
2,07857-02 
2,10591-98 

2,13326-94 
2,16061-90 
2,1879686 

2,21531-82 
2,24266-78 
2,27001*74 

2,29736-71 
2,32471 67 

2,35206-63 

2,37941*59 
2,40676-55 

2,434iy5» 
2,4614647 

1,48881-43 
2,51616*39 

2, 5435 » -35 
2.57086*31 
2,59821*27 
2,6255623 
2,65291 20 
2,68026- 16 
2,70761-12 
2,73496-08 



Years 
5' 

53 

54 
55 
56 

61 
62 

64 
65 

66 

67 
68 

69 
70 

7» 
72 
73 
74 

11 



81 

82 

83 
84 

\l 

89 
90 

9' 
92 
93 
94 

96 

97 
98 

99 
100 

rery 



(309) 



LOGARITHMIC TABLES OF 



61 



Par Cent. 



Years Log. r*. 



I 

2 

3 
4 



2 

9 

iO 

II 

12 

«3 
M 

\i 

\i 

«9 
ao 

ai 

32 

34 

21 



29 
30 

31 
32 

33 
34 

li 
U 

39 
40 

41 
42 

43 

44 

45 
46 

47 
48 

49 
SO 



0,0283679 

0,08510-37 

o> "347*15 

o^»4i«3'94 
0,1702073 

0.19857-52 
0,22694*31 

0,2«3I-io 

0,28367 -88 

0,31204-67 
0*34041 -46 
0,36878-25 

0,3971504 
0.4255^ 83 
o,453»8-6i 
0,48225-40 
0,51062*19 

0,53898-98 

0^5673577 

0*5957256 
0,62409-34 
0,65246-13 
0,68082-92 
0,70919*71 

0,73756-50 

0,7659329 
0,79430-07 

0,82366*86 

0,85103*65 

0,87940*44 
0,90777 23 
0,93614*02 
0,96450-80 
0,99287-59 
1,02124-38 
1,04961*17 
1,07797*96 
1,10634*75 

'.13471-53 



1,16308-32 

1.19145'" 
1,21981-90 

1,24818 -69 

1.27655-48 
1,30492-27 

1.33329-05 

1,36165-84 

1,39002-63 
1,41839*42 



Log. a". 




o,o2»36-79 
I 9,74129-03 

9.5789971 
9,46770*33 

9.38^ " 

9, 

9. 

9,21971-27 

9,18143*83 

9, 14840*71 

9,11958-96 
9,09422-58 
9,0717386 
9.0516797 

9>03369-43 
9,01749*60 
0,00285*12 
8,98956-6< 

8,97747-98 
8,96645-47 

8,9563747 
8,94713-96 
8,93866-31 
8,93086-99 
8,92369-42 
8,91707-81 
8,91097-05 

8,90532-59 
8,90010*40 

8,89526-87 

8,80078*74 
8,88663-09 
8,88277-31 
8,87919-00 
8,8758601 
8,87276*38 
8,86988*30 
8,86720-17 
8,86470-49 
8,86237*90 

8, 86021 -12 
8,85819-04 
8,85630-58 

8.8545478 
8,85290-74 

8.85i37'63 
8,84994*69 
8.84861-21 

8,84736-54 
8,84620-09 



Log. a". 



Log. r". 



8,84511-27 
8,8440958 

8,84314-55 
5,84225*70 

8,84142*64 

8,84064*98 

8,83992-35 

8,8392443 
8,83^0-89 

8,83'tei*46 

8,83745-86 
8,83693-84 
8,83645-16 
8,83599-62 
8,8355700 
8,83517*10 

8.83479-77 
8,^3444*82 

8,83412*11 
8,8335-49 

8,83352-83 
8,83325-99 
8,833oS*g7 
8,83377*36 

8.83255-33 
8,83234*70 
8,83215*40 
8,83107*32 
8,83180*40 
8,83164*55 

8,83149*70 
8,83135*60 
8,83122*78 
8,83110-58 

8,83078*47 
8,83069*09 
8,83060-30 
8,83052*08 

8.83044-37 
8,83037-15 

8.83030*30 
8,83024*06 
8,83018-13 
8,83012*57 
8,83007*37 
8,83002*50 
8,82997*94 
8,82993*8 
8,83930*38 



For explanation see pp. 216-228 



(310) 



1,44676*21 
»,475'3-oo 

'.50349-78 
'.53186-57 

'.5602336 
i,|886o-i5 
1,61696*94 

'.6453373 
'.67370-51 
1,70207-30 

1,73044*00 

1,75880-88 

1,78717-67 

'>«i554-46 

'.8439' -24 
1,8722803 

1,90064-82 
1,92901-61 
'.95738-40 
'>98S7SI9 
2,01411*97 

2 04248*76 
2.07085*55 
2.09922*34 
2. '275913 

2. '5595 92 
2,18432*70 
2,21269-40 
3,24106*28 
3,36943*07 

2,39779*86 
2,33616*65 

2.3545343 
3,38390*22 

2,41127*01 
2.43963-80 
2,468oo*59 
2.49637-38 
2,52474'6 
2.55310*95 

2.58147-74 
2.60084*53 

2,63831-32 

2,66658*11 

2,69494*90 

2. 7233 '-68 

2.75168*47 

2,78005*26 

2,80842*05 

3,83678-84 



Yean 



5» 
52 
53 
54 

5 

k 



61 
62 

J^ 

u 
u 

69 

70 

71 

7a 

73 

74 



81 
83 

U 

89 
90 

91 
93 

93 
94 

9« 



99 
100 



COMPOUND INTEREST AND ANNUITIES 



Per Cent. 



Yeart 

I 

a 

3 

4 

5 
6 

7 
8 

9 
10 

II 

13 

«3 
14 



Log. I*. 



Log. a*. 



»9 

30 

31 
33 

23 

24 

% 

29 

30 

3« 

3« 
33 
34 

f4 

39 

40 

41 

42 

43 
44 
45 
46 

% 

49 



0,02938-38 

0,05876-76 

0,08815-13 
0,11753-5' 

0,14691-89 
0,17630-27 
0,20568-64 

0,23507-02 
0,26445-40 
0.29383-78 

0,32322*16 
o,.l526o-53 
0,38198-91 
0,41137-29 
0,44075-67 
0,47014-04 
0,49952-42 
0,52890*80 
0,50829*18 
0,58767*56 
0,61705*93 

0,64644-3' 
0,67582*69 
0,70521*07 

0.73459-44 
0,76397-83 
0,79336*20 
0,82274*58 
0,85213*96 
0,88151*33 

0,91089-71 

0,94020*09 

0,96966*47 

0,99004-84 

1,02843-22 

1,01^781-60 

1,0^710-98 

1,11658-36 

•> 14596-73 

«,I753S-" 

«, 20473-49 
1,23411-87 

1. 26350-24 
1,29288-62 
1,32327*00 
'.35'6S-38 
i. 38103-76 
•1,4104213 

',43980-5' 
1,4691889 



Log. a" 



Log. r*. 



0,02938*38 
9,7427072 
9.58098-38 
9,47015-78 
9.387 '952 
9,3217969 
9,26846-85 
9,22393-12 
9,18607-01 
9.'S344'4 

9,13501*56 
9.10003*26 
.^07791 -58 
9.05821*70 
9,04058-10 
9,02472-23 
9,01040-68 
8,99744*14 
8,98566*45 
8,97493*95 

8,96514-99 
8,95619-62 

8,94799* 18 

8,94046*18 

8,9335406 

8,92717*03 

8,9213000 

8,91588-47 
8,91088-30 
8,90626-18 

8,90198-61 

8,89802-78 

8,89436-08 

8,89096-14 

8,8878083 

8,88488-21 

8,88216-49 

8,87964-09 

8,87729-51 

8,87511-42 

8,87308-58 
8,87119-87 

8,86944-23 
8,8678072 

8,86628-48 

8,86486-67 

8,86354-55 
8,86231*45 
8,86116*71 
8,86009-74 



8,85910-02 
8,8581 7-02 

8,85730-29 
8,85649-39 
8,85573-91 
8.85503-50 
8.85437-79 
8,85376-47 
8,85319-24 
8,85265-82 

8,85215-96 

8.85169-41 
8.85125-95 
8,85085-37 
8,85047-48 

8,85012-11 

8,84979-07 

8,84948-21 

8,84919*39 
8,84892*48 

8,84867-34 

8,84843-87 
8,84821-93 

8,84801*44 
8,84782-30 

8,84764-42 
8,84747-73 
8,84733*11 

8,84717*54 
8,84703-91 

8,84691-19 
8,84670*30 
8,84668*19 

8,84657-81 
8,84648-11 

8,84639-05 
8,8463058 

8,84622-67 
8,84615-28 
8,8460^-37 

8,84601-93 

8,84595-88 
8,84590-25 

8.84584-98 
8.8458006 
8,84575-46 

8.8457'-'5 
8,84567-14 
8,84563*40 
8.84^=i9-88 
8,84509-80 



1,49857-27 
1,52795-64 
1,55734-02 
1,58672-40 
1,61610-78 
1,64549-16 
1,67487-53 
1,70425-91 
1,73364-29 
1,76302-67 

•1,79241-04 
1,82179-42 
I 85117-80 
1.88056-18 
1,90994*56 
1,93932-93 
1,96871-31 
1,9980069 

2,02748-07 
3,05686-44 

3,0862483 

3,11563-20 

3,14501-58 

2,17439-95 
2,20378-33 

2,2331671 
2,26255-09 

3,29193*47 
3,32131-84 
2,35070-33 

2,38008-60 
2,40946-98 

3,43885*35 
3,46823-73 
3,49763-11 

3,52700-49 
2,55638*87 

2,S»S77**4 
2,61515 62 
2,64454-00 

2,67392-38 

2,70330-75 

2,73269- '3 
2,76207-51 

2,79145-89 
3,82084-27 
2,85022-64 
2,87961-02 
2,90899-40 

2,93837-78 



Yean 



51 

s» 

S3 

54 

60 

61 
62 

69 
70 

7> 
73 

73 

74 

II 



Si 
83 

M 

87 
88 

89 
90 

9' 
92 

93 
94 
91 



91 
98 

99 

100 
Perp. 



(311) 



LOGARITHMIC^ TABLES OF 



1 „ 

2 Per Cent. 



Years Log. r". 



J 
2 

3 
4 

I 

9 

lO 



II 

12 

M 
i^ 

1 6 

i? 
i8 
19 
20 

31 
23 

2.? 
24 

»S 
26 
27 
28 
29 
30 



0,03140-85 
0,06281 69 
0.09422-54 

0'»2563-39 
0,15704-23 

0,18845-08 

0,21985 92 

0,2512677 

0,28267-62 

0,31408-46 



31 

32 

33 
34 

;ll 

37 
38 
39 
40 

41 

42 

43 
44 

4I 



49 

50 



o>34549-3' 
0,376(^16 

0,40831 00 

0.4397^-85 
0,47112-70 

0.50253-54 
0.53394-39 
0.56535-24 
0,5967608 
0,6281 693 

0,65957-77 

0,6*^98 -63 

0,72239-47 

0,75380-31 

0,78521-16 

0,8 r 662 01 

0,8480285 

0,87943-70 

0,91084-55 

0,94225 39 

0,9736624 

1,0050709 

1,0364793 

1,06788 78 

1,09929-62 

1,1307047 

1,16211-33 

'. '9352 16 

1,22493-01 

•.2563386 

«. 2877470 

'.3i9»5 55 
•.3505640 
»,38i97-24 
•,4133809 

•44478-94 
1,47019-78 
1.50760-63 

'.53901-47 
«.57042'32 



Log. 



o,03i4o-«5 

9w"45r9''5^ 
9.58493-88 
9,47504-25 
9,39298-64 

932847-11 
9.27600-27 
9.23230-23 

9. •95255' 
9, '6341 76 

9. •3576-05 

9, '1 152-40 
9,09013-17 

9.07' 13-56 
9,05418-10 
9,03898-22 
9,02530-60 
9,01295-93 
9,0017808 
8.99 163 -44 
8,98240-41 

8.9739904 
8,9663073 

8,9592803 
8.95284-41 
8,94694-14 

8.94I52-I5 

8.9365399 
8,93195-65 

8.92773-59 

8,9238462 
8,92025-89 
8.91694-84 
8,91389-ij 
8,91 106-65 
8,90845-53 
8, 90604 04 
8,9038058 
8,90173-74 

8,89982-22 

8.89804-82 
8.89640-43 
8,89488-08 
8.89346-82 
8,89215-84 
8.89094-35 

.ysoSi 64 

8.8«877 05 

8,88779-< 
8,88689' 



Log. a*. 

8.88r</,-25 
8.88^28-58 
8,884:16-46 
8.88^89-48 
8.88327-27 
8.88269-47 
8.88215-78 
8,8816589 
8,88119-^3 

8,88076-46 

8,88036-42 

8,87999-21 

8,87964-63 

8,87932-48 

8,87902-60 

8.87874-82 

8,87848-99 

8,87824-99 

8,87802-66 

8,87781-91 

8,87762-62 
8,8774467 
8,87727-98 
8,8771247 
8,87698 04 
8,87684-62 
8,87672-15 
8,87660*54 
8,87649-75 
8.87639-71 

8,87630-38 
8,87621-70 
8,87613-63 
8,87606- 1*2 

8' 87599- '3 
'.87592-64 
8,87;86-6o 
8,87580-98 

8.875757s 
8,87570-89 

8,87566-37 
8.f«7562-i7 
8,8755825 
J,87554-62 
887551-23 
8.87548-08 
8387545-16 
8.87542-43 
8.87539-89 

8,87537-54 
8.87506-13 



Log. 1*. IVean 



For explanation see pp. 216-228 



(312) 



1,60183-17 
'. 6^324 01 
1,66464-86 
1,69605-71 

'.7274655 
1,75887-40 
1,79028-25 
1,8216909 
'-85309-94 
1,88450-79 

».9»59i 63 

',9473248 

',97873-32 
2,01014-17 

3,04155-02 
3,0729586 
2,10436-71 

2' '3577-56 
2,16718-40 

2. '9859-25 

2, 23000- 10 

2,26140-94 

2,29281-79 

1,32422-64 

2.35563-48 
2.38704-33 
2,41845-17 
2,4498602 
2.48126-87 

2,5' 267-71 

2,54408-56 

2,57.';49-4' 
2,60690-25 

2,63831-10 
2,66971-95 
2,70112-79 
2,73253-64 
2.7639449 
2,W35-.S3 
^,82676-18 

2,85817-02 
2,88957-87 
2,92098-72 

2.95239-56 

2.98380-41 

3.01521-26 
3,04662-10 
.^,0780205 
3, '0943 'So 
3. '4084 64 



5' 
52 

53 

54 
5 

^1 
58 

59 



61 
62 

64 

66 

J' 

68 

69 

70 

?• 
72 

73 
74 



79 
80 

81 

82 

B3 

84 

85 
86 

87 

88 

89 
90 

9' 
92 
93 
94 

u 
u 

99 
100 

Perp. 



COMPOUND INTEREST AND ANNUITIES 



8 



Per Cent. 



Yearp 

I 
2 

3 
4 

5 
6 

7 
8 

9 
10 

11 
12 

'3 
14 
15 
16 

•7 
18 

'9 

20 

21 

22 

23 
24 
25 
26 

27 
28 
29 

30 

3' 
32 

33 
34 
35 
36 
37 
38 

39 

40 

4' 
42 

43 
44 
45 
46 
47 
48 
49 
50 



TiOg. r" 



0,03342-38 
0,06684-75 
0,10027-13 

o,i3369'50 
0,16711-88 
0,20054-25 
0.23396-63 
0,26739-00 
0,30081-38 
0,33423-76 

0,36766-13 
0,40108-51 
0,43450-88 
0,46793-26 
0,50135-63 
0,5347801 
0,56820-38 
0,60162-76 
0,63505-14 
0,66847-51 

0,70189-89 
o,73.';32-26 
0,7687464 
0,8021 7 01 
0,83559-39 
0,86901-76 
0,90244-14 
o,93.s86-52 
0,9692889 
1,00271*27 

1,03613-64 
1,0695602 
1,10298-39 
1,13640-77 

1,16983-14 
1,20325 52 
1,23667-90 
1.27010-27 
',30352-65 
•,3369502 

',37037-40 
'.40379-77 
1,4372215 
1,47064-52 

1,50406-90 
1,53749-28 
',5709' 65 
1,60434-03 
1.63776-40 
1,67118-78 



Log. 



0,03342-38 
9,74878-43 
9,5888692 

9,47989-30 
9.39873-22 

9' 33508- 74 

9,28346-49 
9,24058-61 

9,20433-63 
9,17327-22 

9,14636-48 
9,12285-46 
9,1021654 
9,aS384-95 

9.06755-27 
9,05298-95 
9,03992-72 
9,02817-29 
9,01756-60 
9,00797-05 

8,9992709 
8,99136-82 

8,98417-69 

8,97762-28 

8,97164-12 

8,96617-52 

8,96117-47 

8,95659-53 

8,95239-79 

8,94854-7' 

8,94501-18 

8,94' 76-38 
8,9387780 

8,93603-14 
8,93350-38 
8,93 "7 65 

8,92903-25 
8,92705-68 

8,92523-54 
8,92355-57 

8,92200-62 
8,92057-63 
8,91925-67 
8,91803-83 
8,91691-32 
8,91587-40 

8,9149' 4' 
8,91402-71 
8,91320-74 
8,91244-98 



Log. rf* 

8,91174-95 
8,91110-22 

8,91050-36 
8,90995 00 
8,oo<)43-8i 
8,00896-47 
8,90852-68 
8,90812-18 

, 8,90774-70 
8,90740-04 

8,90707-96 
8,90678-27 
8,90650-81 
8,90625-41 
8,90601-89 
8,90580-13 
8,9055998 
8,90541-34 
8,90524-08 
8,90508-12 

8,90493-34 
8,9047966 
8,90466-99 

8,90455-27 
8,90444-41 

8,90434-37 
8,9042507 
8,90416-46 
8,90408-49 
8,90401-12 

8,90.^94-29 
8,90387-96 
8,90382- II 
8,90376-68 
8,90371-68 
8,90367-03 
8,90362-72 

8,90358-74 
8,90355-06 

8,9035 '-64 

8 90348-49 
8,90345-56 

8,90342-85 

8,9o.^4o-.^4 
8,9033802 

8,9033586 
8,9033387 
8,9033204 
8,90330-33 
8,90328- 74 
8,9030900 



Lo^. 



/*. 



1,70461-15 
1.73803-53 
i,77i45-90 
1,80488 28 
1,83830 66 
i,87i"7303 
1,90515-41 
1,93857-78 
1,97200-16 
2,00542-53 

2,03884-91 
2,07227-28 
2,10569-66 
2,13912-04 
2,17254-41 
2, 20596- 79 
2,23939- '6 
2,2728.1-54 
2,3062391 
2,3396629 

2,3730866 

2,40651 04 

2,43993*42 

2,47335-79 
2,50678- 1 7 

2,54020-54 

2,57362-92 
2,60705-20 
2,64047-67 
2,67390-04 

2,70732-42 

2, 74074- 79 
2,774171 7 

2,80759-55 
2,84101-92 
. 2,87444-.SO 
2,90786 6'/ 
2,9412905 

2,9747 '-42 
3,00813-80 

3,041 56- 1 7 

3,07498-55 
3,10840-93 

3,»4'83-.3o 

3. '7525-68 
3,20868-05 
■3,24210-43 
3,27552-80 
3,30895- '8 
3.34237 55 



Years 

51 

52 

S3 

54 
5 

57 
58 

60 

61 
62 
63 
64 

65 
66 

67 
68 

69 
70 

7» 

72 

73 
74 

\l 

79 

80 

81 

82 

83 
84 

8i 

87 
88 

89 
90 

9» 

92 
93 
94 

96 

97 

08 

99 
100 
Perp. 



(313) 



jiiji 



LOGARITHMIC TABLES OF 



COMPOUND INTERNIST AND ANNUITIES 



fears 

I 

3 

3 
4 
S 
6 



Log. f». 



I 

9 

lO 

II 

12 

»3 
»4 

:i 

17 

i8 

»9 

20 

31 
32 

•3 

24 

25 
26 

29 

30 
31 

32 
33 
34 



3^2245|-9o 
a, 26198-55 



0,03742-65 

0^07485 30 
0,11227-95 

0,14970-60 

0,18713-25 

0^2245 

o, 

0,29941-20 

0.33683-85 

0.37426-50 

0,41169-15 

0,4491 1 'So 

0,48654-45 

o,S2397'io 

0,56139-75 

0,59882-40 

0,63625-05 

0,67367-70 

0,71110-35 

0,74853-00 

o,7859«-65 
o,823?8-3o 
0,86080-95 



39 
40 

41 
42 

43 
44 



49 
50 



0,89823 60 
0,93566-24 
0,9730889 
1,01051-54 
1,04794-19 
1.08536-84 
1,12279-49 

1,16022*14 
1,19764-79 
'>23507-44 
1,2725009 

1.3099274 

1.34735-39 
1,3847804 

1,42220-69 

'.45963-34 

'.4970599 

'.5344864 
1,57191-29 
1.60933-94 
1,64676-59 
1,68419*24 
1,72161-89 
'.75904-54 
''Z9647-19 
^13389-84 
1.87132-49 



Log. <»■. 



0,03742-65 
9.75470-67 
9.59665-73 
9,48949-26 
9,41008-93 
9,34814-86 
9,29817-72 
9.2568966 
9,22219*29 
9,19262*35 

9,16715-98 
9,14504-29 
9,12569-77 
9,10867-72 
9,00362-78 
9,08026-53 
9,06835-74 
9.0577' 28 
9,04817-14 

9.0395984 

9,03187-94 
9,02491 -64 
9,01862*51 
9,01293*22 
9,0077744 
0,00309-57 
8,99884*72 

8.99498-57 
8,99' 47 30 
8,98827-51 

8,9853618 

8,98270-62 

8.98028-40 

8.97807-36 

8,97605-57 

8,97421*25 

8.97252-83 

8,9709890 

8,96958-15 

8,96829*43 

8,96711-67 
8,96603*91 
8,96505-28 
8,96415*00 

8,96256 ■63 

8,96187-29 

8,96123*78 

8,96065-5 

8,96012-2 



Log. a" 



8.95963-42 
8.959 '»-65 
8,9587761 
8,9584000 
8.95805-52 

8,95773-9' 
8.9574493 
8.957'8-36 
8.9569401 
8,95671-67 

8.95651*19 
8.95632-40 
8,95615-18 
8.95599-38 
8,95584-89 
8.9557' -61 

8,95559-43 
8.95548-24 

8.9553799 
8.95528*59 

8.955'9*96 
8,95512-06 
8,95504-80 

8,95498- 14 
8,9549204 

, 8,95486-44 

8,95481*29 

8.95476-59 
8,95472-26 
8.95468*29 

8,9546465 
8.95461-32 
8.95458-26 

8,95455-45 
8,95452-87 

8,95450-50 
8,95448-34 
8,95446-35 
8.95444-52 
8,95442-85 

8,95441 •31 
8.95439-9' 
8.9543»-6i 

8.95437-42 
8,95436-34 
8,95435*.?4 




8,95432". 
8,95432-11 
8*95424*21? 



For explanation see pp. 216-228 



(314) 



PerCwit. 



Log. f*. (rears 



1,90875-14 

'.94617-79 
1,98360-44 

2,02103-09 

2.0584574 
2,09588-39 

2, '333' -04 
2,17073-69 
2,20816-34 
2,24558-99 

2,28301*64 
2,32044*29 
2.35786-94 

2.3952959 
2,43272*24 

2,47014*89 

2.50757-54 
2.54500*19 

2,58242-84 
2,61985*49 

2,65728-14 
2,69470-79 

2.73213-43 
2,7695608 
2,80698-73 
2,84441-38 
2,8818403 
2,91926-68 
2.95669-33 
2,99411*98 

3.03154-63 
3,06897-28 
3,10639-93 

3,14382-58 
3,18125-23 
3,21867-88 
3,25610*53 
3.29.^53- '8 
3.3309583 
3.3683848 



5» 
52 
53 

54 

5 

57 

58 

19 



3,40581-13 

3.4432378 
3,48066-43 
3,51809*08 

3.5555' -73 
3,59294*.38 
3.6303703 
3,66779-68 
3,70522*33 
3,74264-98 



61 
62 

^^ 

% 

69 

70 

7' 
72 

73 
74 

75 
76 

80 

81 

82 

84 
8 

81 

1^ 

89 
90 



91 

92 

93 
94 

v> 

97 
98. 

99 
100 
Perp. 



-fmrnrnmaam 



Teaa 



I 
2 
3 
4 

i 
I 

9 

10 

II 
12 

'3 
'4 

\l 

'7 
18 

'9 
20 

21 
22 
23 
24 



29 
30 

31 
32 
33 
34 

% 
% 

39 
40 

4» 
42 
43 
44 

t 



49 
SO 



Log. r*. 



0,04130-27 
0,08278-54 
0,12417-81 
o,i6«7-o7 
0,2069634 
0,24835-61 
0,28974-88 

0.33 "4- '5 
0,37253-42 
0,41392-69 

0,45531-95 
0,49671-22 
0,53810-49 

0,57949*76 
0,62089-03 
0,66328-30 

0,70367-57 
0,74506*83 

0,78646- 10 

0,82785-37 

0,86924-64 

0,91063*91 

0,95203*18 

0,9934244 

,03481*71 

,07620-98 

,11760*25 

.'5899-52 
,20038-79 
,24178-06 

,28317*32 

.32456-59 
.36595 -86 

.40735- '3 
.44874-40 
,49013*67 

.53152-94 
,^7292 -20 

,61431*47 
.65570*74 

,69710-01 
,73840*28 

,77988-<5 
,82127-81 

,86267*08 

,90406-35 

2,02824-16 
2,06963-43 



10 



Per Cent 



Log a". 



0,04139-27 
9,76056-60 
9,6043501 
9,49895*92 
9,42(27-07 
9,3609859 
9,31261*21 
9,27287*16 
9,23965*11 
9,21150*87 

9,18741*68 
9,16661*75 
9,14853-64 
9,13272-77 
9,11883-91 
9,10658-73 

9,09574-15 
9,08611-14 

9.o77.'>3-82 

9,06988-86 

9,0630495 
9,05692-41 
9,05142-97 
9,04649-44 
9,04205-57 
9,03805-07 
9,0344586 
9,03121-05 
9,02827-87 
9,0256304 

9,02323-69 
9,02107*23 
9,01911-38 
9,01 734- 10 

9.o'57.VS6 
9,01428-13 
9,01296*35 
9,01176*08 
9.01068-57 
9,00970*32 

9,00881-21 
9,00800*36 
9,00726-99 
9,00660-40 
9.00599-94 
9,00545-06 
9,00495 22 
9,00440-07 
9,00408-87 
9.00371-54 



Log. cT. 



9,00337-03 
9,00306*83 
9,00278-85 
9,00253-42 
9,00230*32 
9,00209-33 
9,00190-26 
9,00172-93 
9,00157-18 
9,00142-87 

9,0012986 
9,00118-04 
9,00107-30 
9,ooo97*e3 
9,00088-65 
9,00080-59 
9,00073*26 
9,00066-59 
9,00060-53 
9,00055-03 

9,0005003 
9,0004547 
9,00041-34 
9,00037-57 
9.00034-16 
9,00031*05 
9,00028-23 
9,00025-66 
9,0002333 
9,00021*21 

9,00019-28 
9,00017-53 
9,00015-93 
9,00014*48 
9,0001317 
9,0001 1 -97 
9,00010-88 
9,00009-89 
9,00009-00 
9,00008*17 

9,00007*43 
9,00006-76 
9,00006*14 
9,0000558 
9,00005*08 
9,00004-61 
9,00004*19 
9,00003-81 
9.0000347 
9.00003- 1 5 
^,00000-00 



Log. 1*. 



2,11102-00 
2,15241*96 
2,19381-33 
2,23520-50 

2.27659*77 
2.3179904 

2.35938-31 

2,40077*0 

2,44216-84 
2.48356-11 

2.52495-38 
2,56634-65 
2.60773*92 
2,64913-19 
2,69052-45 

2,73'9'72 

2,77330-99 
2,81470-26 

^♦§5609-53 
2,89748-8o 

2,93888-06 
2,98027*33 
3.02166-60 
3,0630587 
3, 10445- 14 
3,14584-41 
3, '872368 
3,22862-94 
3,27002*21 
3,31141 48 

3,35280-75 
3,39420-02 
3,43559 2Q 
3,47698-56 

3.5'837-8a 
3.55977-09 
3,60116-36 
3,64255-63 
3,68394-90 

3.72534- »7 

3,76673-43 
3,80812-70 
3,84951 97 
3,89091-24 
3,93230-51 

3.97369-78 
4,0150005 
.4.05648-31 
4.09787-58 
4,13926-85 



Yean 



51 

52 
53 
54 
S 

I 



61 
63 

69 
70 

7' 
73 

73 
74 

\l 



81 
82 

% 

89 
90 

9» 

92 
93 
94 

^ 

97 
98 

99 
100 

Feipt. 



(315) 



LOGARITHMIC TABLES 



I 

ill 



I 



Yean 

I 
2 

3 
4 

i 

I 

9 

lO 

II 

12 

'3 
M 

\i 
[I 

20 

21 
32 

23 
24 



Log. I*. 



% 



2 
2 
29 
30 

31 
32 

33 
34 
35 
36 

I? 

39 
40 

41 
42 

43 
44 

45 
46 

47 
^8 

49 
50 



0,04021-80 
o>09»43 6o 

o»M76s-4i 
0,19687-21 

0,24609*01 

O' 29530-81 

0*34452-62 

o»39374'42 

0,44296-22 

0,49218-02 

«>.54'39'82 

0,59061 63 

0,63983-43 

o, 

o. 



=>'03983*43 
3,68005-23 

3,73827-03 
0,78748-84 
0,83670-64 
0,8859:^ -44 



0,9351434 
o>98436o5 

»*o^357-85 
1,08279-65 

»' '3201-45 

I,i8l23-2K 

1*2304500 
i,27o66-86 
1,32888-66 
1,37810-46 
1,42732-27 
J.4765407 

' i»52575-87 
i»57497*67 
1,62419-47 

1,67341-28 
1,72263-08 

1,77184-88 
1,82106-68 
1,8702849 
1,91050-29 
1,9687209 

2,0179389 
2,06715-70 
2,11637-50 

2. 165^9-30 
2,21481-10 
2,26402-90 

2,3132471 
2,36246-51 

2,41168-31 
2,46090-11 



12 



Log. a-. 



For explanation see pp. 216-228 



Per Cent. 



0,049:11-80 
9,772iiO*02 
9,61945-76 
9,5«75o-S3 

9,4431 21 7 
9,3860c -95 

9,34067-76 

9*30384 '99 

9,27341-55 
9>24793-44 

9,22638-18 
9, 20800- 26 
9,19222-50 
9,i786o-65 
9,16679-78 
9*15651 69 

9,14754-25 
9*13968-18 
9,1327815 
9,12671-17 

9.12136-31 
9,11664-26 
9* "247 08 
9,1087796 
9, 105 CI 01 
9,10261*16 
9,10003-99 
9.09775-65 
9,0957278 
9,0939245 

9,09232*07 

9,09089*38 

9,08962*36 

9,08840-27 

9,08748-55 

9,o86s8-8i 

9,0857884 

9*08507-57 

9,0844403 

9*08387-38 

9,08336-86 
9.0S291-80 
9,08251-61 
9,08215*76 
9,08183*77 
9,08155-23 
9,08129*76 
9,08 1 07 04 
9,08086-76 
9,0806866 



Log. or. 



9,0805250 
9,08038-09 

9,08025 -22 
9,08013-73 
9,0800348 

9,07994-32 
9,07986- 1 c 

9,07978-86 
9,07972-35 
9,07966-53 

9,07961*35 
9*079567' 

9,07952 -50 

9*07948 -88 

9,0794559 
9,07942-64 

9.07940-02 
9.07937-67 
9,07935-58 
9,07933-71 
9,07932-04 

9*07930-55 
9,07920-^1 

9,07928*03 

9,07926-97 

9,0792601 

9,07925- 1 7 

9,07924-42 

9,07923-75 
9,07923*14 

9,07922*60 

9,07922-12 

9,07921*70 

9,07921*31 

9,0792097 

9,0792067 

9,07920-39 

9,07920-15 

9,07919-93 

9,07919-74 

9,07919-57 

9,07919-41 

9,07919-27 

9,07919-15 

9,07910-04 

9,079 > 8- 

9,079'8- 

9,07918-78 

9,07918-71 

9,07918*65 

9,0 '918-12 



Log. r". 



2*80542*73 
1,85464-53 



2,51011*92 

2*55933-72 
2,60855-52 

2*65777-32 

2,70699-12 

2,75620-93 

2," 

2, 

2,90386-33 

2,95308-14 

3,00229-94 

3.05151-74 
3,10073-54 

3. 14995 35 

3,i99»7-i5 
3,24838-95 

3*29760-75 

3.34682- 

3,39604- 

3,44526-16 

3,4944796 
3.54369-76 

3,59291-57 
3,64213-37 

3,69135-17 

3,74056-97 

3,78978-77 

^'!J2°°S8 
3,88822-38 

3*93744-18 

3,98665-98 

4,0358779 
4,0850959 

4,13431-39 

4,18353-19 
4,23274-09 

4,28i96-8o 

4,33"8-6o 

4,38040-40 

4,42962-20 

4,47884-01 
4,52805-81 
4,5772761 
4,62649-41 

4,67571-22 
4.7249302 
4,77414-82 
4»82336*62 
4,872c8-42 
4,92180*23 



Yean 

SI 
52 

53 
54 

5 

5 
9 



61 
62 

69 
70 

71 

72 
73 
74 



81 
82 

83 

?4 
85 
86 

87 
88 

89 
90 

9» 
92 
93 
94 



99 
100 
Perp 



(316) 



TABLE II. 



SHOWING 



A. For every rate contained in the preceding table the logarithms, 

to 10 and 7 decimals, 
of f, t being the interest of ;^i per annum or the rate ; 
of /-, r being ^1 increased by interest for one year ; and the 

logarithm of log' r. 

B. For every rate between o and 10 per cent, proceeding by 

loths, the logarithms of t and r. 



C. For every fractionary rate between o and to per cent., pro- 
ceeding by 1 2ths, the logarithms of / and r. 



The rate of interest which M. Thoman calls / is in modern 
notation denoted by /, and the amount of i in i period is now 
expressed by i + / instead of by /•. 



(317; 



i 



LOGARITHMIC TABLES OF 



Table II This table shews the Logarithms of (<), (r), and (Log'.r), 
i being the rate of interest per cent, and r £1 increased bj its interest 
for one jear. 



Rate 
per 

Cent. 



V. 

•/a 



Vs 

't 8 

* /« 

2 * . 



I'/s 

3 

3 Vs 
3> 
3% 

3 % 

3% 
. 3'/i 

4 

A'U 
^> 

1;/. 

S'/s 

sy. 

5% 
6 

6 V, 

7 

7 V. 
8 

9 

lO 



Log. fc 



7.6989700043 

8,0000000000 
8,17609-12591 

8. 2*085 33653 
8,24303-80487 
8,27300-12721 

8,30102-09957 

8.32735-89344 
8,35218-25181 

8,37566-36140 

8,3979400087 

8,4191293072 

8,4393326938 

8,4S863-78490 

8,47712-12547 

8,49485 002 1 7 

8,5« '88-33610 

8,52827-a7772 

8.54406-80444 

8,55930-80109 

8.57403«2677 

8,58827-17068 

8,60205-99913 

&J^§^«'39529 
8,62638-89301 
8.64097-8057^ 
8,6<32i-35i38 
8,66<ii-i737i 
8,67669-36096 
8,68797-46200 

8,6989700043 

5,70969-38697 
8.72015-030?^ 
8,73037-84686 
8, 74036- 2689c 
8,7501 2 -2 «68 
8,75966-78447 
8,76900-78709 

8,778iic-ia504 
8,7958800173 
8,81291-33566 
8,82930-37728 

8,84509-80400 
8.87506-12634 

8,90308-99870 

8,95424-25094 

9,00000-00000 

9,0791 8- 1 2460 



Log. r. 



0,00216-60618 

0.00432-13738 
0,00646-60422 
0,00760-05586 
•.0075 V 4^1 79 
0,00806-76217 

0,00860-01718 
0,00913-20695 
0,00966-33167 
0,01019-39148 
0,01072-38654 
0,01125-31701 
0,01178-18305 
0,01230-98482 

0,01283-72247 
0.01336-39616 
0,01389-00603 
0-01441 -55226 
0,01494-03498 
0,01546-45436 
0,01598-81054 
0,01651- 10368 
0,01703-33393 

0.01755-50144 
0,01807-60636 
0.01859-64885 
0,01911-62904 
0,01963-54710 
0,02015-40316 
0,02067- 19738 

0,02118-92991 
0,02170-60088 
0,02222-21045 
0,02273-75876 
0,02325-24596 
0,02376*67220 
0,0242803760 
0,02479-34233 

0,02530-58653 
0,0263289387 
0,02734-96078 
0,02836-78837 

0,0293837777 
0,03140-84643 

0,03342-37555 

0,03742-64979 

0,04139-26852 

0.04921 80227 



Log*, r. 



7.3356708 

7,63562- 18 
7,8106385 
7,84513-27 
7,87704-97 

7.90674-55 

7.93450-7 • 
7,96056-92 

7,98512-62 
8,00834- 10 
8.03035-14 
8,05127-40 
8,07121-28 
8,09025-27 

8,10847-11 
8, '2593-52 
8,14270-41 
8,15883-04 
8,1743608 

8,»8933-7i 
8,20379-70 

8,2177743 
8,23129-98 
8, 24440- 1 2 

8,2S7'o-39 
8,26943-10 

8,28140-36 
8.2930^-13 
8,30436-19 
8,31538-19 
8.3261 1 -66 
8,3365800 
8,3467852 

8,35674-44 
8,3664689 

8.37596-93 
8.38525-54 
8.39433-65 
8,40322-12 
8,42043-34 
8,4.3605- II 
8,4528269 

8,46810-76 
8,49704-67 
8,5240552 

8.5731 792 
8,61692-36 

8,69dJ2-42 



For explanation see pp. 216-228 



RaU 

per 

dent 



f 

« '/s 

a 
2 
2 
2 

2 
2 

2 



V. 

•/. 

2 v. 



3 
3 
3 
3 
3 
3 
3 

4 
4 
4 
4 

4 
4 
4 

4 

5 
5 
5 
5 



v. 

: 



I 

I 



I 



5y. 
5% 



5 



5 

6 
6 
6 
6 

7 
7 
8 

9 

10 

12 



i 



I 



V. 



(318) 



COMPOUND INTEREST AND ANNUITIES 



Table II This tabl* shews the Logarithms of I and r. 
f being the rate of iotar-t per cent, and r being £1 increase* 
bj its interest for one year. 
Rate 



per 
Cent. 

T 

/lO 

> 

/lO 

'/le 
7,. 

7,. 
I 

■ y.. 

• 7ie 

I 7,0 

• 7i« 

1 7,0 

2 

2 v.. 
27,. 
2 7l. 

»!/'• 

2 7,e 
27,. 
2 7,o 
27.. 

2 7lO 

3 

3 v.. 

3 7i. 
3 7.. 
3 7io 



Log. r. 



3 7.0 
3> 
3> 
3 7,. 

3 7io 
4 

J?:: 

4 7,. 
4 7,. 
4 7i. 

4 7m 



4 7,. 



Log. i. 



0,00043-40775 
0,00086-77215 
0,0013009330 
0,001 73*37 » 28 
0,00216-60618 
0,00259-79807 
0,00302-94706 
0.0034605321 
0,00389-1 1662 
0,00432-13738 

0,00475-11556 
0,0051805125 

0,00560-94454 
0.00603-79550 
0,00646-60422 
0,00689-37079 
0,0073209529 
0,00774-77780 
0,00817-41840 
0,00860 01 7 18 

0,00902-57421 
0,00945-08958 
0,00987-56337 
0,01029-99566 
0,01072-38654 
0,01114-73608 
o.oii 57-04436 
0.01 199-31 147 
0.01241-53748 
0,01283-72247 

0,01325-86653 
0,01367-96973 
0.0141003215 
0,0145205388 
0,0149403498 

0,01535-07554 
0,01577-87564 

0,01619-73535 
0,01661-55476 
0,01703-33393 
0,0174507295 
0,01786-77100 
0,01828 43084 
0.01870-04987 
0.01911-62904 
•.01953* »6845 
0,0199^-66817 
0,02036- 12826 
©.•2077-54882 
•,02118-92991 



Log. f. 



7,00000-00 
7,30103-00 

7,477i2'3 
7,60206-00 

7,6989700 

7,778i5-»3 
7,8450980 
7,9030900 
7,95424-25 
8,0000000 

8,04139-27 
8,0791812 

8,11394-34 
8,14612-80 

8,17609-13 
8,20412-00 
8,2304489 

8,25527-25 
8.27875-36 
8,3010300 

8,32221 93 
8,34242-27 
8.36172-78 
8,38021-12 
8,3979400 

8,4«497-33 
8,43'36-38 
8,447«S-8o 
8,4623980 

8,477»2i3 

8,49136- 1 7 

8,50515-00 

8,51851-39 

8, 53 « 47 89 

8.5440680 

8. 556.30-25 

8,56820-17 

8.57978-36 

8,59106.46 

8,6020600 

8.61 278-* 9 
8.62324- 
8,63346 . 
8,64345-27 

8.65321 -25 
8,66275- 78 
8,67209- 79 
8,68124-12 
8,69019- tl 
8,69897*00 



r93 

V85 



Log. 



r. 



8,70757-02 
8.71600-33 

8,72427-59 
8,73239.38 
8,74036-27 
8,74818-80 

8,75587-49 
8,76342-80 

8,7708520 
8,778iS->3 
8,7853298 
8, 79239-' 7 
8,7993405 
8,80618-00 

8.81291-34 

8,81954-39 
8.82607-48 

8.83250-89 
8,83884-91 
8,8450980 

8.85125-83 

8.857.33-25 
8,8633229 

8,86923*17 
8,87506- '3 
8,88081-36 
8,88649-07 
8.89209 46 
8,89762-71 
8,90309-00 
8,90848-50 

8,9'38»*.39 
8,91907-81 

8,92427-93 

8,92941-89 

8,9344985 

8.9395'-93 
8,9444827 

8,949.39-00 
8,95424-25 

8,95904*14 
8,96578-78 
8,96848-29 
8,973' 2*79 
8,9777236 
8,98227-18 

8.98677*17 
8,99122-61 

8.9956352 
^00000-00 



Bate 



I 



0,02160-27160 
0,02201*57398 
0.02242-83712 
0,02284-06109 
0,02325-24506 
0,02366-39182 
0,02407-49873 
0.02448-56677 
0,02489-59601 
0.02530-58653 

0,02571-5.3839 
0.02612-45167 

0,02653-32645 

0.02694-16280 

0,02734-96078 

0,02775-72047 

0,02816*44194 

0,02857-12527 

0,02897*77052 
0,02938-37777 

0,02978-94708 
0,03019-47854 
0,03059-97220 
0,03100-42814 
0,0314084643 
0,03181-22713 
0,03221-57033 
0,03261 87609 
0,03302- 14447 

0,0334237555 
o,03.:i82-56940 
0,03422-72608 
0,03462-84566 
0,03502 92822 
0,0354297382 
0.03582-98253 

0,036229544' 
0.03662 8895ii 
0,03702-78798 
0.0374264979 

0,03782-47506 
0,03822-26384 
0,03862-01619 
0.03901-73220 

0,03941 *4"92 
0,03981 05541 
0,04020-66376 
0,04060-23401 
0,0409976024 
0,04139*26852 



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7,. 



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7.. 

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7.. 

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8 

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(319) 



LOGARITHMIC TABLES 



^'g^^i; ^' ^v:.rj.*te-.-:^- s 




7 



IS 






V, 



IS 



I 



0,00036-1761^ 
0,00072-32216 
0,00144-52409 
0^00180-58009 
0,00252 60240 
0,00288-56882 
0,00360-41243 
0,00396-28971 




It 



V. 



2 

2 



7,2 



0,00467 
0,00503 
0,00575 
0,00610 
0,00682 
0,00717 
0,00788 
0,00824 



•95548 
74407 

•23289 
■93322 
•24596 

•85M 

99599 
531 10 



6,92081 -88 
7,2218487 
7.52287-87 
7>6i978 88 
7,76591-68 
7,8239087 
7.92081 -88 
7,96221-14 

8,03476-21 
8,06694-68 
8,1249387 
8,15126-77 
8,19957-24 
8,2218487 
8,26324 



«% 



V, 



3 

3 . 



IS 



0,00895 
0,00930 
0,01001 
0,01037 
0,01 107 
0,01142 
0,01213 
0,0124^' 



•48427 
92241 
-71208 
•06368 
-68060 
•94618 
•39136 

S7"5 



3'h 






3> 

3 »Vi, 



V. 



18 



^ J* 
4»Vu 



IS 



0,01318-84536 
0,01353-93986 
0,0142404391 
0,0145905355 
0,01528-98826 

0,01563-91343 
0,01633-67963 

0,01668-52074 

0,01738-11923 

0,01772-87670 

0,01842-30828 

0,01876-98249 

0,019^6-24798 

0,01980-83934 

0,02019-93051 

0,02084-44841 



,26324-14 
1,28254-66 



8,31875-88 

8,3357921 

8,36797 68 

8,38321-68 

8,4121804 

8,42596-87 

5'45229-77 

8,4648868 

8,48902-05 
8,50060-24 
8,5228787 
8,53360-26 
8,55428-72 
8,56427-14 
8,58357-66 
8,59291 -66 

8,61101-48 
8,6197888 
8,63682-21 
8,64500-46 
8,66118-14 
8,6690068 
8,68424-67 
8,6916708 



8,70614-86 

8.71321-04 

8,7269987 

8,73373*21 
8,74689-36 

8.7533277 
8. 7059* -68 
8,77207-71 

8,78414-16 

8,79005-05 

8,80163-23 

8,80730-9^ 

8,81844-^8 

8,82390-87 1 

8,83463-26! 

8,83989-68 



0,02IC3 

0,02187 
0,02256 
0,02290 

0,02359 
0,02393 
0,02462 
0,02496 



•38405 
-81089 

■58279 



■536 

•80075 

•24749 
•43045 



8,85023-77 

8.8CS3I-72 
8,86530-14 
8,87020-88 
8,87986-01 
8,88460-66 
8,8939466 
8,89854-24 

8,9075905 
8,91204-48 
8,92081-88 
8,92514-01 
8.9336560 

8,93785-21 
8,94612-46 
8,95020-25 



0,02564 

0,02598 

0,02666 

0,02700 

0,02 r68 

0,02802 

0,02870 

0,02904- 



-81^20 

•94283 

•96512 

-92984 

87236 

67791 

54103 



^,95824-53 
8,96221-14 
8,97003-68 
8,9738972 
8.98151-66 
8,98527-67 
8,99270-08 
8.99636-57 



0,0297218816 

0,03005-97225 

0,03073-46170 

0,03107-16713 

0,03174-49962 

0,03208-12676 

o,0327K-?o303 

0,0330885224 

0,03375-87300 
0,03409-34464 
o, 034 762 1063 
0,0350960505 
0,03576-31697 
0,03609-63453 
0,03676 19309 

0*03709-434 i 5 

0,03775-84005 
0,0380900496 
0,03875-25890 
0,03908-34800 
0,03974-45068 
0,04007-46^32 
0,0407^-41642 
0,04106-35495 



5 
5 
5 
5 

5 
5 

5 
5 

6 
6 
6 
6 
6 
6 



7i. 



I 



7, 



4 



6 7 
6'»/ 



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7 /« 

7 7. 

7 7,« 

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8'V. 



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9 ;/„ 
9 /• 

^ I* 

9 7i. 
9 7u 
9 7* 
9% 
9'V« 



For explanation see pp. 216-228 



(320) 



. IMPORTANT BOOKS ON VALUATION^ 



Thh'ii Edition Enlargectf Demy 8vo, cloth, 334 pages. 78. 6cl. net. 

Valuation of Real Property. 

A Guide to the Principles of Valuation of Land and Buildings, 
&c., for Various Purposes, including the Taxation of Land Values. 

By CLARENCE A. WEBB, P.A.S.I. 

Valuer and Rating Surveyor, Author of ' The Law and Practice of 
Rating and Assessment,' Joint Author of 'Rates and Taxes.' 

Third Edition. Revised and Enlarged. 

By ALFRED HUNNINQS, F.S.I. 

Rating Surveyor to the Hackney Borough Council, &c. 

' The book will prove a capital vade mecum to all who are called upon to value land or 
buildings, as well as to owners or stewards of real estate. It is a valuable contribution to 
a difficult and intricate subject.' — Property Market Revieiu. 



Demy Svo, cloth, 168 pages. 7s. Bd. net. 

The Valuation of Mineral 

Property \ Rules and Tables. 

By T. A. O'DONAHUE, M.E., F.G.S., 

Editor of * Mining Engineering,' First Class Certificated Colliery Manager, 
Member of the Institution of Mining Engineers, Author of ' The Colliery 
Engineer's Pocket Book,' 'Colliery Surveying,' 'Mining Calculations, 

* Mining Formulae,' &c. 

* The Author has endeavoured to be as brief and simple as possible, and in the result has 
produced a thoroughly useful book.' — Ne7vcastle Daily Chronicle. 



Crown Svo. 



Cloth. 



5S. net. 



Tabular Aids to Valuation. 

For Ascertaining the Purchase Price of Building Estates : Percentages required 

to Cover Interest and Sinking Fund ; Cost of Buildings ; Deductions for 

Maintenance ; Comparative Site Values, &c. 

By GEO. TYRRELL M*CAW, B.A.L. M.A. (T.C.D.), 

Fellow of the Surveyors' Institution, 

AND 

F. OLIVER LYONS, B.A.I., M.A. (T.C.D.), 

Valuer and Surveyor, General Valuation Office, Ireland ; 
Fellow of the Surveyors' Institution. 



London: CROSBY LOCKWOOD & SON, 
7 Stationers' Hali Court, E.G. 4, and 5 Broadway, Westminster, S.W.I 

Complete Catalogue on Application, 



USEFUL BOOKS FOR VALUERS. 



Demy 8vo, cloth, 258 pages. 7S. 6Cl. net. 

The Law and Practice of 
Rating and Assessment. 

A Handbook for Overseers, Members of Assessment Committees, 
Surveyors, and others interested in Rating and Valuation. 

By CLARENCE A. WEBB, P, A.S.I. 

Valuer and Rating Surveyor ; Author of ' The Valuation of 

Real Property,' &c. 

'This book is one of the most authoritative and exhaustive yet issued on the subject.'— 
City Press. 

Mr Webb may be congratulated on having carried out with success a difficult piece of 



work. ' —Economic Journal, 



Fifth Edition Enlarged. Crown Svo, cloth, 300 pages. 6S> net. 

Agricultural Valuer's 
Assistant. 

A Practical Handbook on the Valuation of Landed Estates; including Example 
of a Detailed Report on Management and Realisation ; Forms of Valuations 
of Tenant Right ; Lists of Local Agricultural Customs ; Scales of Com- 
pensation under the Agricultural Holdings Acts, and a Brief Treatise on 
Compensation under the Lands Clauses Acts, &c. Fifth Edition, with 
Appendix containing a Digest of the Agricultural Holdings Act, 1908, together 
with the Full Text of the Act, and Practical Commentary thereon. 

By TOM BRIGHT. 

Agricultural Valuer; Author of 'The Agricultural Surveyor and 

Estate Agent's Handbook.' 



Fcap Svo, leather, 450 pages. 7«. 6cl. net. 

Agricultural Surveyor and 
Estate Agent's Handbook 

Of Practical Rules, Formulae, Tables, arid Data. A Comprehensive Manual 

for the use of Surveyors, Agents, Landowners, and others interested in the 

Equipment, the Management, or the Valuation of Landed Estates. 

Second Edition. Revised. 

By TOM BRIGHT, 

Agricultural Surveyor and Valuer, Author of * The Agricultural 

Valuer's Assistant," &c. 

London: CROSBY LOCKWOOD & SON, 
7 Stationers' Hall Court, E.C.4, and 5 Broadway, Westminster, S.W.I 

Complete Caimlogne on AppUcmtlon. 








Date Due 




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Tables of interest 



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